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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1101.5756 | Vjacheslav Dorofeev | V. Yu. Dorofeev | Model of the electro-weak, gravitational and strong interactions in the
O-theory | 21 pages | null | null | null | gr-qc nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Based on the matrix representation of octonion algebra, supplied with
specific multiplication rule, the model of electroweak and gravitational
interactions is built up. While electroweak interaction in this model is
induced by charged W-bosons, other two forces appear to have slightly more
complicated nature. Gravita... | [
{
"created": "Sun, 30 Jan 2011 10:04:34 GMT",
"version": "v1"
}
] | 2011-02-01 | [
[
"Dorofeev",
"V. Yu.",
""
]
] | Based on the matrix representation of octonion algebra, supplied with specific multiplication rule, the model of electroweak and gravitational interactions is built up. While electroweak interaction in this model is induced by charged W-bosons, other two forces appear to have slightly more complicated nature. Gravitati... |
gr-qc/9607010 | Takashi Hara | Takashi Hara (Tokyo Institute of Technology), Tatsuhiko Koike (Keio
University), and Satoshi Adachi (Tokyo Institute of Technology) | Renormalization group and critical behaviour in gravitational collapse | ReVTeX, 42 pages with 8 embedded PS figures using "boxedeps.tex."
This is a replacement, which (1) presents more straightforward presentation
by sending some detailed "proofs" into the appendices, (2) corrects some
minor errors in the first version | null | null | null | gr-qc | null | We present a general framework for understanding and analyzing critical
behaviour in gravitational collapse. We adopt the method of renormalization
group, which has the following advantages. (1) It provides a natural
explanation for various types of universality and scaling observed in numerical
studies. In particula... | [
{
"created": "Thu, 4 Jul 1996 11:24:18 GMT",
"version": "v1"
},
{
"created": "Wed, 28 May 1997 10:09:36 GMT",
"version": "v2"
}
] | 2016-08-31 | [
[
"Hara",
"Takashi",
"",
"Tokyo Institute of Technology"
],
[
"Koike",
"Tatsuhiko",
"",
"Keio\n University"
],
[
"Adachi",
"Satoshi",
"",
"Tokyo Institute of Technology"
]
] | We present a general framework for understanding and analyzing critical behaviour in gravitational collapse. We adopt the method of renormalization group, which has the following advantages. (1) It provides a natural explanation for various types of universality and scaling observed in numerical studies. In particular,... |
1409.3743 | Wen-Biao Han | Michael H. Soffel, Wen-Biao Han | The gravitational time delay in the field of a slowly moving body with
arbitrary multipoles | 9 pages, no figures | Physics Letters A 379, 233-236 (2015) | 10.1016/j.physleta.2014.11.047 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We calculate the time delay of light in the gravitational field of a slowly
moving body with arbitrary multipoles (mass and spin multipole moments) by the
Time-Transfer-Function (TTF) formalism. The parameters we use, first introduced
by Kopeikin for a gravitational source at rest, make the integration of the TTF
ver... | [
{
"created": "Fri, 12 Sep 2014 14:17:02 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Dec 2014 22:03:21 GMT",
"version": "v2"
}
] | 2014-12-30 | [
[
"Soffel",
"Michael H.",
""
],
[
"Han",
"Wen-Biao",
""
]
] | We calculate the time delay of light in the gravitational field of a slowly moving body with arbitrary multipoles (mass and spin multipole moments) by the Time-Transfer-Function (TTF) formalism. The parameters we use, first introduced by Kopeikin for a gravitational source at rest, make the integration of the TTF very ... |
0908.4178 | Luca Fabbri | Luca Fabbri | Geometrical Properties and Propagation for the Proca Field Theory | 6 pages | Annales Fond.Broglie 36:19-28,2011 | null | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the Proca field with dynamical term given by the exterior
derivative with respect to the most general connection; the most general Proca
field equations are given, and a discussion about the propagation and the
geometrical properties are presented: it is shown that this generalization is
inconsistent. So ... | [
{
"created": "Fri, 28 Aug 2009 10:18:07 GMT",
"version": "v1"
}
] | 2012-12-06 | [
[
"Fabbri",
"Luca",
""
]
] | We consider the Proca field with dynamical term given by the exterior derivative with respect to the most general connection; the most general Proca field equations are given, and a discussion about the propagation and the geometrical properties are presented: it is shown that this generalization is inconsistent. So th... |
0708.3820 | Elizabeth Winstanley | Elizabeth Winstanley and Phil M. Young | Vacuum polarization for lukewarm black holes | 19 pages, 9 figures, revtex4. Minor changes only, accepted for
publication in Physical Review D | Phys.Rev.D77:024008,2008 | 10.1103/PhysRevD.77.024008 | null | gr-qc | null | We compute the renormalized expectation value of the square of a quantum
scalar field on a Reissner-Nordstrom-de Sitter black hole in which the
temperatures of the event and cosmological horizons are equal (`lukewarm' black
hole). Our numerical calculations for a thermal state at the same temperature
as the two horiz... | [
{
"created": "Tue, 28 Aug 2007 17:11:28 GMT",
"version": "v1"
},
{
"created": "Thu, 20 Dec 2007 10:20:22 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Winstanley",
"Elizabeth",
""
],
[
"Young",
"Phil M.",
""
]
] | We compute the renormalized expectation value of the square of a quantum scalar field on a Reissner-Nordstrom-de Sitter black hole in which the temperatures of the event and cosmological horizons are equal (`lukewarm' black hole). Our numerical calculations for a thermal state at the same temperature as the two horizon... |
1906.01978 | Zbigniew Haba | Z. Haba | Conformally flat travelling plane wave solutions of Einstein equations | substantially changed version,18 pages | Int.Journ.Geometric Methods in Mod.Phys.17(2020)2050015 | 10.1142/S0219887820500152 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss conformally flat plane wave solutions of Einstein equations
depending on the plane wave phase $\xi=\omega\tau-{\bf qx}$, where $\tau$ is
the conformal time. We show that ideal fluid Einstein equations and scalar
fields with exponential self-interaction have solutions of this form. We
consider in more detai... | [
{
"created": "Wed, 5 Jun 2019 12:32:09 GMT",
"version": "v1"
},
{
"created": "Sat, 7 Sep 2019 17:38:14 GMT",
"version": "v2"
},
{
"created": "Thu, 26 Sep 2019 19:08:09 GMT",
"version": "v3"
}
] | 2020-02-26 | [
[
"Haba",
"Z.",
""
]
] | We discuss conformally flat plane wave solutions of Einstein equations depending on the plane wave phase $\xi=\omega\tau-{\bf qx}$, where $\tau$ is the conformal time. We show that ideal fluid Einstein equations and scalar fields with exponential self-interaction have solutions of this form. We consider in more detail ... |
gr-qc/9902050 | Garcia | L.C.Garcia de Andrade | Gravitational field of global monopoles in Einstein-Cartan gravity | Latex file 5 Kb | null | null | null | gr-qc | null | The gravitational weak field of a global monopole in the Einstein-Cartan
theory of gravity is investigated.To obtain this solution we assume that Cartan
torsion takes the form of the Newtonian gravitational potential.From the
geodesics it is possible to show that the torsionic monopole produces a
repulsive gravitatio... | [
{
"created": "Wed, 17 Feb 1999 23:06:02 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"de Andrade",
"L. C. Garcia",
""
]
] | The gravitational weak field of a global monopole in the Einstein-Cartan theory of gravity is investigated.To obtain this solution we assume that Cartan torsion takes the form of the Newtonian gravitational potential.From the geodesics it is possible to show that the torsionic monopole produces a repulsive gravitationa... |
gr-qc/9808075 | Anjan Ananda Sen. | A.A.Sen | Superconducting cosmic string in Brans-Dicke theory | Revised, Connection of Dilaton gravity with Brans-Dicke theory has
been included, Accepted for publication in Phys.Rev.D | Phys.Rev. D60 (1999) 067501 | 10.1103/PhysRevD.60.067501 | null | gr-qc | null | In the present work, the gravitational field of superconducting cosmic string
has been investigated in the context of Brans-Dicke theory of gravity. We have
presented two kind of solutions for the spacetime in the far field zone of the
string. When the B-D scalar field is switched off, one of the solutions reduces
to... | [
{
"created": "Thu, 27 Aug 1998 14:51:49 GMT",
"version": "v1"
},
{
"created": "Tue, 25 May 1999 07:46:22 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Sen",
"A. A.",
""
]
] | In the present work, the gravitational field of superconducting cosmic string has been investigated in the context of Brans-Dicke theory of gravity. We have presented two kind of solutions for the spacetime in the far field zone of the string. When the B-D scalar field is switched off, one of the solutions reduces to t... |
gr-qc/0102015 | Novak | Jerome Novak | Numerical Relativity CM1-a and CM1-b sessions | Summary of the "Numerical Relativity" session of the 9th Marcel
Grossman Meeting, held in Rome, July 2000. 8 pages, no figures, uses World
Scientific Latex style file (included) | null | 10.1142/9789812777386_0362 | null | gr-qc | null | Numerical Relativity is concerned with solving the Einstein equations, as
well as any field or matter equations on curved space-time, by means of
computer calculations. The methods developed for this purpose up to now, as
well as the addressed physical problems are getting more numerous every day.
This is a brief sum... | [
{
"created": "Mon, 5 Feb 2001 09:15:39 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Feb 2001 12:50:12 GMT",
"version": "v2"
}
] | 2017-08-23 | [
[
"Novak",
"Jerome",
""
]
] | Numerical Relativity is concerned with solving the Einstein equations, as well as any field or matter equations on curved space-time, by means of computer calculations. The methods developed for this purpose up to now, as well as the addressed physical problems are getting more numerous every day. This is a brief summa... |
gr-qc/9912040 | Tetsuya Shiromizu | Tetsuya Shiromizu (Cambridge) and Uchida Gen (Osaka) | A Probe Particle in Kerr-Newman-deSitter Cosmos | 7 pages, Classical and Quantum Gravity accepted | Class.Quant.Grav.17:1361-1368,2000 | 10.1088/0264-9381/17/6/303 | DAMTP-1999-100;UTAP-354;RESCEU-46/99 | gr-qc astro-ph hep-th | null | We consider the force acting on a spinning charged test particle (probe
particle) with the mass m and the charge q in slow rotating the
Kerr-Newman-deSitter(KNdS) black hole with the mass M and the charge Q. We
consider the case which the spin vector of the probe particle is parallel to
the angular momentum vector of... | [
{
"created": "Fri, 10 Dec 1999 14:58:18 GMT",
"version": "v1"
}
] | 2010-11-19 | [
[
"Shiromizu",
"Tetsuya",
"",
"Cambridge"
],
[
"Gen",
"Uchida",
"",
"Osaka"
]
] | We consider the force acting on a spinning charged test particle (probe particle) with the mass m and the charge q in slow rotating the Kerr-Newman-deSitter(KNdS) black hole with the mass M and the charge Q. We consider the case which the spin vector of the probe particle is parallel to the angular momentum vector of t... |
1908.10817 | Pierre-Henri Chavanis | Pierre-Henri Chavanis | Statistical mechanics of self-gravitating systems in general relativity:
II. The classical Boltzmann gas | null | Eur. Phys. J. Plus, 135, 310 (2020) | null | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the statistical mechanics of classical self-gravitating systems
confined within a box of radius $R$ in general relativity. It has been found
that the caloric curve $T_{\infty}(E)$ has the form of a double spiral whose
shape depends on the compactness parameter $\nu=GNm/Rc^2$. The double spiral
shrinks as $\n... | [
{
"created": "Wed, 28 Aug 2019 16:36:58 GMT",
"version": "v1"
}
] | 2020-12-24 | [
[
"Chavanis",
"Pierre-Henri",
""
]
] | We study the statistical mechanics of classical self-gravitating systems confined within a box of radius $R$ in general relativity. It has been found that the caloric curve $T_{\infty}(E)$ has the form of a double spiral whose shape depends on the compactness parameter $\nu=GNm/Rc^2$. The double spiral shrinks as $\nu$... |
0705.2659 | Theophanes Grammenos | I. Radinschi, Th. Grammenos | Moeller's Energy-Momentum Complex for a Spacetime Geometry on a
Noncommutative Curved D3-Brane | 12 pages | Int.J.Theor.Phys.47:1363-1372,2008 | 10.1007/s10773-007-9578-9 | null | gr-qc | null | Moeller's energy-momentum complex is employed in order to determine the
energy and momentum distributions for a spacetime described by a "generalized
Schwarzschild" geometry in (3+1)-dimensions on a noncommutative curved D3-brane
in an effective, open bosonic string theory. The geometry considered is
obtained by an e... | [
{
"created": "Fri, 18 May 2007 08:57:50 GMT",
"version": "v1"
},
{
"created": "Sun, 2 Sep 2007 15:50:51 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Radinschi",
"I.",
""
],
[
"Grammenos",
"Th.",
""
]
] | Moeller's energy-momentum complex is employed in order to determine the energy and momentum distributions for a spacetime described by a "generalized Schwarzschild" geometry in (3+1)-dimensions on a noncommutative curved D3-brane in an effective, open bosonic string theory. The geometry considered is obtained by an eff... |
1404.1910 | Suresh Kumar | Suresh Kumar | Probing the matter and dark energy sources in a viable Big Rip model of
the Universe | 8 pages, 2 tables, 4 figures; Minor additions in the running text;
Matches the version published in Mod. Phys. Lett. A | Modern Physics Letters A 29 (2014) 1450119 | 10.1142/S0217732314501193 | null | gr-qc astro-ph.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Chevallier-Polarski-Linder (CPL) parametrization for the equation of state of
dark energy in terms of cosmic redshift or scale factor have been frequently
studied in the literature. In this study, we consider cosmic time based CPL
parametrization for the equation of state parameter of the effective cosmic
fluid that ... | [
{
"created": "Mon, 7 Apr 2014 13:42:37 GMT",
"version": "v1"
},
{
"created": "Wed, 13 Aug 2014 14:01:10 GMT",
"version": "v2"
}
] | 2014-08-27 | [
[
"Kumar",
"Suresh",
""
]
] | Chevallier-Polarski-Linder (CPL) parametrization for the equation of state of dark energy in terms of cosmic redshift or scale factor have been frequently studied in the literature. In this study, we consider cosmic time based CPL parametrization for the equation of state parameter of the effective cosmic fluid that fi... |
2106.13548 | Deyou Chen | Chuanhong Gao, Deyou Chen, Chengye Yu | Quasinormal modes and the correspondence with shadow in a charged black
hole in presence of quintessence | There was an error in section 3 | null | null | null | gr-qc | http://creativecommons.org/licenses/by/4.0/ | In this paper, we investigate the photon sphere, shadow radius and
quasinormal modes of a charged black hole in presence of quintessence. The
result shows that the shadow radius decreases with the increase of the electric
charge. The quasinormal modes are derived by the sixth WKB approximation method
and shadow radiu... | [
{
"created": "Fri, 25 Jun 2021 10:51:06 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Jul 2021 08:19:19 GMT",
"version": "v2"
},
{
"created": "Tue, 27 Jul 2021 03:13:27 GMT",
"version": "v3"
},
{
"created": "Mon, 18 Oct 2021 07:03:50 GMT",
"version": "v4"
}
] | 2021-10-19 | [
[
"Gao",
"Chuanhong",
""
],
[
"Chen",
"Deyou",
""
],
[
"Yu",
"Chengye",
""
]
] | In this paper, we investigate the photon sphere, shadow radius and quasinormal modes of a charged black hole in presence of quintessence. The result shows that the shadow radius decreases with the increase of the electric charge. The quasinormal modes are derived by the sixth WKB approximation method and shadow radius,... |
gr-qc/0108066 | L. C. Garcia de Andrade | L.C.Garcia de Andrade | Spherically symmetric Weitzenb\"{o}ck defect solution of Einstein field
equation | Latex file | null | null | null | gr-qc | null | A new class of spacetime defect solutions of Einstein Field equations of
Edelen's direct Poincar\'{e} Gauge Field theory without biaxial symmetry is
presented. The interior solution describes a core of defects where curvature
vanishes and Cartan torsion is nonvanishing. Outside the core (in vacuum) the
solution repre... | [
{
"created": "Sat, 25 Aug 2001 21:15:45 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"de Andrade",
"L. C. Garcia",
""
]
] | A new class of spacetime defect solutions of Einstein Field equations of Edelen's direct Poincar\'{e} Gauge Field theory without biaxial symmetry is presented. The interior solution describes a core of defects where curvature vanishes and Cartan torsion is nonvanishing. Outside the core (in vacuum) the solution represe... |
gr-qc/9712009 | Heller Michal | M. Heller, W. Sasin | Towards Noncommutative Quantization of Gravity | 25 pages, latex, no figures | null | 10.1063/1.532186 | CGC-97-05 | gr-qc | null | We propose a mathematical structure, based on a noncommutative geometry,
which combines essential aspects of general relativity and quantum mechanics,
and leads to correct "limiting cases" of both these theories. We quantize a
groupoid constructed on space-time rather than space-time itself. Both space
and time emerg... | [
{
"created": "Mon, 1 Dec 1997 22:24:17 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Heller",
"M.",
""
],
[
"Sasin",
"W.",
""
]
] | We propose a mathematical structure, based on a noncommutative geometry, which combines essential aspects of general relativity and quantum mechanics, and leads to correct "limiting cases" of both these theories. We quantize a groupoid constructed on space-time rather than space-time itself. Both space and time emerge ... |
gr-qc/9901079 | Neil G. Turok | Neil Turok | Stability of Flat Space to Singular Instantons | 9 pages, RevTex file, including two postscript figure files. Minor
typos corrected, figure improved | Phys.Lett. B458 (1999) 202-208 | 10.1016/S0370-2693(99)00587-0 | null | gr-qc astro-ph hep-th | null | Hawking and the author have proposed a class of singular, finite action
instantons for defining the initial conditions for inflation. Vilenkin has
argued they are unacceptable. He exhibited an analogous class of asymptotically
flat instantons which on the face of it lead to an instability of Minkowski
space. However,... | [
{
"created": "Wed, 27 Jan 1999 21:39:18 GMT",
"version": "v1"
},
{
"created": "Sun, 31 Jan 1999 01:05:19 GMT",
"version": "v2"
},
{
"created": "Thu, 4 Feb 1999 09:59:40 GMT",
"version": "v3"
}
] | 2009-10-31 | [
[
"Turok",
"Neil",
""
]
] | Hawking and the author have proposed a class of singular, finite action instantons for defining the initial conditions for inflation. Vilenkin has argued they are unacceptable. He exhibited an analogous class of asymptotically flat instantons which on the face of it lead to an instability of Minkowski space. However, a... |
0912.3165 | T. Padmanabhan | T. Padmanabhan | Equipartition of energy in the horizon degrees of freedom and the
emergence of gravity | ver 1: six pages; ver. 2: some algebraic details and discussion added
for greater conceptual clarity; seven pages | Mod.Phys.Lett.A25:1129-1136,2010 | 10.1142/S021773231003313X | null | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is possible to provide a physical interpretation for the field equations
of gravity based on a thermodynamical perspective. The virtual degrees of
freedom associated with the horizons perceived by the local Rindler observers,
play a crucial role in this approach. In this context, the relation S=E/2T
between the en... | [
{
"created": "Wed, 16 Dec 2009 15:36:40 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Dec 2009 08:52:12 GMT",
"version": "v2"
}
] | 2010-05-12 | [
[
"Padmanabhan",
"T.",
""
]
] | It is possible to provide a physical interpretation for the field equations of gravity based on a thermodynamical perspective. The virtual degrees of freedom associated with the horizons perceived by the local Rindler observers, play a crucial role in this approach. In this context, the relation S=E/2T between the entr... |
1001.0756 | Yuri Pavlov | A. A. Grib, Yu. V. Pavlov | On particle collisions in the gravitational field of the Kerr black hole | LaTeX, 7 pages, 2 figures | Astropart. Phys.34:581-586, 2011 | 10.1016/j.astropartphys.2010.12.005 | null | gr-qc astro-ph.HE hep-ph hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Scattering of particles in the gravitational field of Kerr black holes is
considered. It is shown that scattering energy of particles in the centre of
mass system can obtain very large values not only for extremal black holes but
also for nonextremal ones existing in Nature. This can be used for explanation
of still ... | [
{
"created": "Tue, 5 Jan 2010 20:03:06 GMT",
"version": "v1"
},
{
"created": "Sun, 30 Jan 2011 22:23:52 GMT",
"version": "v2"
}
] | 2011-02-01 | [
[
"Grib",
"A. A.",
""
],
[
"Pavlov",
"Yu. V.",
""
]
] | Scattering of particles in the gravitational field of Kerr black holes is considered. It is shown that scattering energy of particles in the centre of mass system can obtain very large values not only for extremal black holes but also for nonextremal ones existing in Nature. This can be used for explanation of still un... |
1808.02963 | Tony Rothman | Tony Rothman, Mariam Campbell, Rituparno Goswami, George F.R. Ellis | Direct Detection of Universal Expansion by Holonomy in the McVittie
Spacetime | 10 pages, 5 figures. This version corrects an error in the previous
version and is as will appear in PRD but with updated figures | Phys. Rev. D 99, 024033 (2019) | 10.1103/PhysRevD.99.024033 | null | gr-qc astro-ph.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In general relativity the parallel transfer of a vector around a closed curve
in spacetime, or along two curves which together form a closed loop, usually
results in a nonzero deficit angle between the vector's initial and final
positions. We show that such holonomy in the McVittie spacetime, which
represents a gravi... | [
{
"created": "Wed, 8 Aug 2018 23:22:50 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Aug 2018 15:39:48 GMT",
"version": "v2"
},
{
"created": "Sun, 16 Sep 2018 11:54:56 GMT",
"version": "v3"
},
{
"created": "Thu, 10 Jan 2019 14:48:35 GMT",
"version": "v4"
}
] | 2019-01-30 | [
[
"Rothman",
"Tony",
""
],
[
"Campbell",
"Mariam",
""
],
[
"Goswami",
"Rituparno",
""
],
[
"Ellis",
"George F. R.",
""
]
] | In general relativity the parallel transfer of a vector around a closed curve in spacetime, or along two curves which together form a closed loop, usually results in a nonzero deficit angle between the vector's initial and final positions. We show that such holonomy in the McVittie spacetime, which represents a gravita... |
2309.10830 | Bivudutta Mishra Dr. | Santosh V. Lohakare, S.K. Maurya, Ksh. Newton Singh, B.Mishra,
Abdelghani Errehymy | Influence of three parameters on maximum mass and stability of strange
star under linear $f(Q)-$action | 18 pages, 18 figures, Accepted version Monthly Notices of Royal
Astronomical Society | MNRAS, 526, 2023, 3796-3814 | 10.1093/mnras/stad2861 | null | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This study simulates strange stars in $f(Q)$ gravity with an additional
source under an electric field using gravitational decoupling and the complete
Gravitational Decoupling (CGD) technique. By employing the Tolman ansatz and
the MIT bag model equation of state (EOS), we explore bounded star
configurations derived ... | [
{
"created": "Sat, 16 Sep 2023 14:23:48 GMT",
"version": "v1"
}
] | 2024-03-21 | [
[
"Lohakare",
"Santosh V.",
""
],
[
"Maurya",
"S. K.",
""
],
[
"Singh",
"Ksh. Newton",
""
],
[
"Mishra",
"B.",
""
],
[
"Errehymy",
"Abdelghani",
""
]
] | This study simulates strange stars in $f(Q)$ gravity with an additional source under an electric field using gravitational decoupling and the complete Gravitational Decoupling (CGD) technique. By employing the Tolman ansatz and the MIT bag model equation of state (EOS), we explore bounded star configurations derived fr... |
1811.00762 | Chul-Moon Yoo | Chul-Moon Yoo and Taishi Ikeda and Hirotada Okawa | Gravitational Collapse of a Massless Scalar Field in a Periodic Box | 17 pages, 18 figures | null | 10.1088/1361-6382/ab06e2 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Gravitational collapse of a massless scalar field with the periodic boundary
condition in a cubic box is reported. This system can be regarded as a lattice
universe model. We construct the initial data for a Gaussian like profile of
the scalar field taking the integrability condition associated with the
periodic boun... | [
{
"created": "Fri, 2 Nov 2018 07:33:06 GMT",
"version": "v1"
},
{
"created": "Wed, 16 Jan 2019 04:32:20 GMT",
"version": "v2"
}
] | 2019-05-22 | [
[
"Yoo",
"Chul-Moon",
""
],
[
"Ikeda",
"Taishi",
""
],
[
"Okawa",
"Hirotada",
""
]
] | Gravitational collapse of a massless scalar field with the periodic boundary condition in a cubic box is reported. This system can be regarded as a lattice universe model. We construct the initial data for a Gaussian like profile of the scalar field taking the integrability condition associated with the periodic bounda... |
1210.8138 | Martin Bojowald | Martin Bojowald, Alexander L. Chinchilli, Christine C. Dantas, Matthew
Jaffe and David Simpson | Non-linear (loop) quantum cosmology | 20 pages | Phys. Rev. D 86 (2012) 124027 | 10.1103/PhysRevD.86.124027 | null | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Inhomogeneous quantum cosmology is modeled as a dynamical system of discrete
patches, whose interacting many-body equations can be mapped to a non-linear
minisuperspace equation by methods analogous to Bose-Einstein condensation.
Complicated gravitational dynamics can therefore be described by
more-manageable equatio... | [
{
"created": "Tue, 30 Oct 2012 19:50:35 GMT",
"version": "v1"
}
] | 2012-12-18 | [
[
"Bojowald",
"Martin",
""
],
[
"Chinchilli",
"Alexander L.",
""
],
[
"Dantas",
"Christine C.",
""
],
[
"Jaffe",
"Matthew",
""
],
[
"Simpson",
"David",
""
]
] | Inhomogeneous quantum cosmology is modeled as a dynamical system of discrete patches, whose interacting many-body equations can be mapped to a non-linear minisuperspace equation by methods analogous to Bose-Einstein condensation. Complicated gravitational dynamics can therefore be described by more-manageable equations... |
gr-qc/9605029 | Neil Cornish | Neil J. Cornish (Cambridge Uni.), Janna J. Levin (UC, Berkeley) | The mixmaster universe is chaotic | 4 pages, RevTeX, 3 figures included. New presentation, same results | Phys.Rev.Lett. 78 (1997) 998-1001 | 10.1103/PhysRevLett.78.998 | UM-P-96/33, CfPA-96-TH-10 | gr-qc astro-ph chao-dyn nlin.CD | null | For the past decade there has been a considerable debate about the existence
of chaos in the mixmaster cosmological model. The debate has been hampered by
the coordinate, or observer dependence of standard chaotic indicators such as
Lyapanov exponents. Here we use coordinate independent, fractal methods to show
the m... | [
{
"created": "Thu, 16 May 1996 11:15:51 GMT",
"version": "v1"
},
{
"created": "Fri, 17 May 1996 07:52:36 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Nov 1996 18:10:39 GMT",
"version": "v3"
}
] | 2009-10-28 | [
[
"Cornish",
"Neil J.",
"",
"Cambridge Uni."
],
[
"Levin",
"Janna J.",
"",
"UC, Berkeley"
]
] | For the past decade there has been a considerable debate about the existence of chaos in the mixmaster cosmological model. The debate has been hampered by the coordinate, or observer dependence of standard chaotic indicators such as Lyapanov exponents. Here we use coordinate independent, fractal methods to show the mix... |
1811.06947 | Yu Shi | Yue Dai, Yu Shi | Kinetic Spin Decoherence in a Gravitational Field | 10 pages | null | 10.1142/S0218271819501049 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a wave packet of a spin-1/2 particle in a gravitational field,
the effect of which can be described in terms of a succession of local inertial
frames. It is shown that integrating out of the momentum yields a spin mixed
state, with the entropy dependent on the deviation of metric from the flat
spacetime. ... | [
{
"created": "Fri, 16 Nov 2018 18:00:16 GMT",
"version": "v1"
}
] | 2019-06-26 | [
[
"Dai",
"Yue",
""
],
[
"Shi",
"Yu",
""
]
] | We consider a wave packet of a spin-1/2 particle in a gravitational field, the effect of which can be described in terms of a succession of local inertial frames. It is shown that integrating out of the momentum yields a spin mixed state, with the entropy dependent on the deviation of metric from the flat spacetime. Th... |
2112.04393 | Vincenzo Pierro prof. | Vincenzo Pierro, Vincenzo Fiumara, and Francesco Chiadini | Optimal Design of Coatings for Mirrors of Gravitational Wave Detectors:
Analytic Turbo Solution via Herpin Equivalent Layers | accepted for publication in "Gravitational Wave Observatory: The
Realm of Applied Science" special issue of Applied Science | null | 10.3390/app112411669 | null | gr-qc astro-ph.IM math.OC physics.optics | http://creativecommons.org/licenses/by-nc-nd/4.0/ | In this paper, an analytical solution to the problem of optimal dielectric
coating design of mirrors for gravitational wave detectors is found. The
technique used to solve this problem is based on Herpin's equivalent layers,
which provide a simple, constructive, and analytical solution. The performance
of the Herpin-... | [
{
"created": "Wed, 8 Dec 2021 16:41:09 GMT",
"version": "v1"
}
] | 2021-12-14 | [
[
"Pierro",
"Vincenzo",
""
],
[
"Fiumara",
"Vincenzo",
""
],
[
"Chiadini",
"Francesco",
""
]
] | In this paper, an analytical solution to the problem of optimal dielectric coating design of mirrors for gravitational wave detectors is found. The technique used to solve this problem is based on Herpin's equivalent layers, which provide a simple, constructive, and analytical solution. The performance of the Herpin-ty... |
1907.07961 | Yeinzon Rodriguez Garcia | L. Gabriel Gomez (1), Yeinzon Rodriguez (1,2,3) ((1) Universidad
Industrial de Santander, (2) Universidad Antonio Narino, (3) The Abdus Salam
International Centre for Theoretical Physics) | Stability Conditions in the Generalized SU(2) Proca Theory | LaTeX file in RevTex 4.1 style, 8 pages in double column, 5 figures.
v2: minor changes. Version accepted for publication in Physical Review D. v3:
proofreading corrections implemented | Phys. Rev. D 100, 084048 (2019) | 10.1103/PhysRevD.100.084048 | PI/UAN-2019-651FT | gr-qc astro-ph.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Under the same spirit of the Galileon-Horndeski theories and their more
modern extensions, the generalized SU(2) Proca theory was built by demanding
that its action may be free of the Ostrogradski's instability. Nevertheless,
the theory must also be free of other instability problems in order to ensure
its viability.... | [
{
"created": "Thu, 18 Jul 2019 10:11:56 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Oct 2019 04:11:55 GMT",
"version": "v2"
},
{
"created": "Tue, 15 Oct 2019 13:29:42 GMT",
"version": "v3"
}
] | 2019-10-30 | [
[
"Gomez",
"L. Gabriel",
""
],
[
"Rodriguez",
"Yeinzon",
""
]
] | Under the same spirit of the Galileon-Horndeski theories and their more modern extensions, the generalized SU(2) Proca theory was built by demanding that its action may be free of the Ostrogradski's instability. Nevertheless, the theory must also be free of other instability problems in order to ensure its viability. A... |
0707.2775 | Stefan Hollands | Stefan Hollands and Stoytcho Yazadjiev | Uniqueness theorem for 5-dimensional black holes with two axial Killing
fields | Latex, 21pp, no figures. v2: technical assumption added, extended
discussion of orbit space, results unchanged but sharpened | Commun.Math.Phys.283:749-768,2008 | 10.1007/s00220-008-0516-3 | null | gr-qc | null | We show that two stationary, asymptotically flat vacuum black holes in 5
dimensions with two commuting axial symmetries are identical if and only if
their masses, angular momenta, and their ``rod structures'' coincide. We also
show that the horizon must be topologically either a 3-sphere, a ring, or a
Lens-space. Our... | [
{
"created": "Wed, 18 Jul 2007 17:55:29 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Sep 2007 09:07:53 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Hollands",
"Stefan",
""
],
[
"Yazadjiev",
"Stoytcho",
""
]
] | We show that two stationary, asymptotically flat vacuum black holes in 5 dimensions with two commuting axial symmetries are identical if and only if their masses, angular momenta, and their ``rod structures'' coincide. We also show that the horizon must be topologically either a 3-sphere, a ring, or a Lens-space. Our a... |
2110.02757 | Jen-Tsung Hsiang | Jen-Tsung Hsiang and Bei-Lok Hu | Intrinsic Entropy of Squeezed Quantum Fields and Nonequilibrium Quantum
Dynamics of Cosmological Perturbations | 45 pages, 2 figures | Entropy 23, 1544 (2021) | 10.3390/e23111544 | null | gr-qc hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Density contrasts in the universe are governed by scalar cosmological
perturbations which, when expressed in terms of gauge-invariant variables,
contain a classical component from scalar metric perturbations and a quantum
component from inflaton field fluctuations. It has long been known that the
effect of cosmologic... | [
{
"created": "Wed, 6 Oct 2021 13:43:00 GMT",
"version": "v1"
}
] | 2022-01-11 | [
[
"Hsiang",
"Jen-Tsung",
""
],
[
"Hu",
"Bei-Lok",
""
]
] | Density contrasts in the universe are governed by scalar cosmological perturbations which, when expressed in terms of gauge-invariant variables, contain a classical component from scalar metric perturbations and a quantum component from inflaton field fluctuations. It has long been known that the effect of cosmological... |
2310.03555 | Anna Puecher | Anna Puecher, Anuradha Samajdar, Gregory Ashton, Chris Van Den Broeck,
Tim Dietrich | Comparing gravitational waveform models for binary black hole mergers
through a hypermodels approach | null | null | null | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The inference of source parameters from gravitational-wave signals relies on
theoretical models that describe the emitted waveform. Different model
assumptions on which the computation of these models is based could lead to
biases in the analysis of gravitational-wave data. In this work, we sample
directly on four st... | [
{
"created": "Thu, 5 Oct 2023 14:08:11 GMT",
"version": "v1"
}
] | 2023-10-06 | [
[
"Puecher",
"Anna",
""
],
[
"Samajdar",
"Anuradha",
""
],
[
"Ashton",
"Gregory",
""
],
[
"Broeck",
"Chris Van Den",
""
],
[
"Dietrich",
"Tim",
""
]
] | The inference of source parameters from gravitational-wave signals relies on theoretical models that describe the emitted waveform. Different model assumptions on which the computation of these models is based could lead to biases in the analysis of gravitational-wave data. In this work, we sample directly on four stat... |
1712.07592 | Jackson Levi Said | Jackson Levi Said | Reconstruction from scalar-tensor theory and the inhomogeneous equation
of state in f(T) Gravity | 9 pages | Said, J.L. Eur. Phys. J. C (2017) 77: 883 | 10.1140/epjc/s10052-017-5460-y | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | General relativity (GR) characterizes gravity as a geometric properly
exhibited as curvature on spacetime. Teleprallelism describes gravity through
torsional properties, and can reproduce GR at the level of equations. Similar
to f(R) gravity, on taking a generalization, f(T) gravity can produce various
modifications ... | [
{
"created": "Tue, 19 Dec 2017 14:23:42 GMT",
"version": "v1"
}
] | 2017-12-21 | [
[
"Said",
"Jackson Levi",
""
]
] | General relativity (GR) characterizes gravity as a geometric properly exhibited as curvature on spacetime. Teleprallelism describes gravity through torsional properties, and can reproduce GR at the level of equations. Similar to f(R) gravity, on taking a generalization, f(T) gravity can produce various modifications it... |
gr-qc/9902070 | Martin Goliath | B. J. Carr, A. A. Coley, M. Goliath, U. S. Nilsson and C. Uggla | The state space and physical interpretation of self-similar spherically
symmetric perfect-fluid models | 24 pages, 12 figures | Class.Quant.Grav.18:303-324,2001 | 10.1088/0264-9381/18/2/309 | null | gr-qc | null | The purpose of this paper is to further investigate the solution space of
self-similar spherically symmetric perfect-fluid models and gain deeper
understanding of the physical aspects of these solutions. We achieve this by
combining the state space description of the homothetic approach with the use
of the physically... | [
{
"created": "Tue, 23 Feb 1999 11:01:02 GMT",
"version": "v1"
},
{
"created": "Wed, 19 Jul 2000 14:16:08 GMT",
"version": "v2"
},
{
"created": "Thu, 3 Aug 2000 13:25:36 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Carr",
"B. J.",
""
],
[
"Coley",
"A. A.",
""
],
[
"Goliath",
"M.",
""
],
[
"Nilsson",
"U. S.",
""
],
[
"Uggla",
"C.",
""
]
] | The purpose of this paper is to further investigate the solution space of self-similar spherically symmetric perfect-fluid models and gain deeper understanding of the physical aspects of these solutions. We achieve this by combining the state space description of the homothetic approach with the use of the physically i... |
0802.1798 | T. Padmanabhan | T. Padmanabhan | Emergent gravity and Dark Energy | 26 pages; no figures; standard latex | null | null | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This is an invited contribution to be included in a multi-authored book on
"Dark Energy", to be edited by Pilar Ruiz-Lapuente and published by Cambridge
University Press.
| [
{
"created": "Wed, 13 Feb 2008 10:45:05 GMT",
"version": "v1"
}
] | 2008-02-14 | [
[
"Padmanabhan",
"T.",
""
]
] | This is an invited contribution to be included in a multi-authored book on "Dark Energy", to be edited by Pilar Ruiz-Lapuente and published by Cambridge University Press. |
2007.12184 | Michael Kavic | John H. Simonetti, Michael J. Kavic, Djordje Minic, Dejan Stojkovic
and De-Chang Dai | A sensitive search for wormholes | 6 pages, 1 figure | Phys. Rev. D 104, 081502 (2021) | 10.1103/PhysRevD.104.L081502 | null | gr-qc astro-ph.HE hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The realm of strong classical gravity and perhaps even quantum gravity are
waiting to be explored. In this letter we consider the recently detected triple
system composed of two stars and a non-accreting black hole. Using published
observations of this system we conduct the most sensitive test to date for
whether the... | [
{
"created": "Thu, 23 Jul 2020 18:00:01 GMT",
"version": "v1"
}
] | 2021-10-13 | [
[
"Simonetti",
"John H.",
""
],
[
"Kavic",
"Michael J.",
""
],
[
"Minic",
"Djordje",
""
],
[
"Stojkovic",
"Dejan",
""
],
[
"Dai",
"De-Chang",
""
]
] | The realm of strong classical gravity and perhaps even quantum gravity are waiting to be explored. In this letter we consider the recently detected triple system composed of two stars and a non-accreting black hole. Using published observations of this system we conduct the most sensitive test to date for whether the b... |
2012.06902 | Riccardo Falcone | Riccardo Falcone, Daniela D. Doneva, Kostas D. Kokkotas, Stoytcho S.
Yazadjiev | Non-linear stability of soliton solutions for massive
tensor-multi-scalar-theories | null | Phys. Rev. D 104, 064045 (2021) | 10.1103/PhysRevD.104.064045 | null | gr-qc astro-ph.HE | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The aim of this paper is to study the stability of soliton-like static
solutions via non-linear simulations in the context of a special class of
massive tensor-multi-scalar-theories of gravity whose target space metric
admits Killing field(s) with a periodic flow. We focused on the case with two
scalar fields and max... | [
{
"created": "Sat, 12 Dec 2020 20:12:26 GMT",
"version": "v1"
}
] | 2021-09-22 | [
[
"Falcone",
"Riccardo",
""
],
[
"Doneva",
"Daniela D.",
""
],
[
"Kokkotas",
"Kostas D.",
""
],
[
"Yazadjiev",
"Stoytcho S.",
""
]
] | The aim of this paper is to study the stability of soliton-like static solutions via non-linear simulations in the context of a special class of massive tensor-multi-scalar-theories of gravity whose target space metric admits Killing field(s) with a periodic flow. We focused on the case with two scalar fields and maxim... |
2105.04726 | Yong Tang | Yong Tang, Yue-Liang Wu | On Conformal Transformation with Multiple Scalar Fields and Geometric
Property of Field Space with Einstein-like Solutions | 1+17 pages, 1 table | Phys. Rev. D 104, 064042 (2021) | 10.1103/PhysRevD.104.064042 | null | gr-qc astro-ph.CO hep-ph | http://creativecommons.org/licenses/by/4.0/ | Multiple scalar fields appear in vast modern particle physics and gravity
models. When they couple to gravity non-minimally, conformal transformation is
utilized to bring the theory into Einstein frame. However, the kinetic terms of
scalar fields are usually not canonical, which makes analytic treatment
difficult. He... | [
{
"created": "Tue, 11 May 2021 00:45:53 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Jul 2021 09:12:57 GMT",
"version": "v2"
}
] | 2021-09-22 | [
[
"Tang",
"Yong",
""
],
[
"Wu",
"Yue-Liang",
""
]
] | Multiple scalar fields appear in vast modern particle physics and gravity models. When they couple to gravity non-minimally, conformal transformation is utilized to bring the theory into Einstein frame. However, the kinetic terms of scalar fields are usually not canonical, which makes analytic treatment difficult. Here... |
2010.09716 | Sunandan Gangopadhyay | Rituparna Mandal, Sunandan Gangopadhyay, Amitabha Lahiri | Cosmology with modified continuity equation in asymptotically safe
gravity | 25 pages Latex, some References added | The European Physical Journal Plus 137 (2022) 10, 1110 | null | null | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study FLRW cosmology, taking into account quantum gravitational
corrections in the formalism of the exact renormalization group flow of the
effective action for gravity. We calculate the quantum corrected scale factor,
energy density, and entropy production at late times, taking different cut-off
functions. Our ap... | [
{
"created": "Mon, 19 Oct 2020 06:06:25 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Dec 2020 08:27:05 GMT",
"version": "v2"
},
{
"created": "Mon, 22 Feb 2021 04:27:31 GMT",
"version": "v3"
}
] | 2022-10-26 | [
[
"Mandal",
"Rituparna",
""
],
[
"Gangopadhyay",
"Sunandan",
""
],
[
"Lahiri",
"Amitabha",
""
]
] | We study FLRW cosmology, taking into account quantum gravitational corrections in the formalism of the exact renormalization group flow of the effective action for gravity. We calculate the quantum corrected scale factor, energy density, and entropy production at late times, taking different cut-off functions. Our appr... |
gr-qc/0308074 | Johan Noldus | Johan Noldus | A Lorentzian Gromov-Hausdoff notion of distance | 20 pages, 0 figures, submitted to Classical and quantum gravity,
seriously improved presentation | Class.Quant.Grav. 21 (2004) 839-850 | 10.1088/0264-9381/21/4/007 | null | gr-qc math.MG | null | This paper is the first of three in which I study the moduli space of
isometry classes of (compact) globally hyperbolic spacetimes (with boundary). I
introduce a notion of Gromov-Hausdorff distance which makes this moduli space
into a metric space. Further properties of this metric space are studied in the
next paper... | [
{
"created": "Fri, 22 Aug 2003 19:19:52 GMT",
"version": "v1"
},
{
"created": "Thu, 28 Aug 2003 00:57:24 GMT",
"version": "v2"
},
{
"created": "Tue, 18 Nov 2003 09:44:28 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Noldus",
"Johan",
""
]
] | This paper is the first of three in which I study the moduli space of isometry classes of (compact) globally hyperbolic spacetimes (with boundary). I introduce a notion of Gromov-Hausdorff distance which makes this moduli space into a metric space. Further properties of this metric space are studied in the next papers.... |
1108.4578 | Diana Kaminski | Diana Kaminski | AQV II. A new formulation of the Weyl C*-algebra | 71 pages, 10 figures | null | null | null | gr-qc math-ph math.MP quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this article a new formulation of the Weyl C*-algebra, which has been
invented by Fleischhack, in terms of C*-dynamical systems is presented. The
quantum configuration variables are given by the holonomies along paths in a
graph. Functions depending on these quantum variables form the analytic
holonomy C*-algebra.... | [
{
"created": "Fri, 19 Aug 2011 16:52:40 GMT",
"version": "v1"
}
] | 2011-08-24 | [
[
"Kaminski",
"Diana",
""
]
] | In this article a new formulation of the Weyl C*-algebra, which has been invented by Fleischhack, in terms of C*-dynamical systems is presented. The quantum configuration variables are given by the holonomies along paths in a graph. Functions depending on these quantum variables form the analytic holonomy C*-algebra. E... |
gr-qc/0105114 | Christophe Grojean | C. Csaki, J. Erlich, C. Grojean | The Cosmological Constant Problem in Brane--Worlds and Gravitational
Lorentz Violations | First Award in the 2001 Annual Essay Competition of the Gravity
Research Foundation | Gen.Rel.Grav.33:1921-1928,2001 | 10.1023/A:1013094709013 | null | gr-qc astro-ph hep-ph hep-th | null | Brane worlds are theories with extra spatial dimensions in which ordinary
matter is localized on a (3+1) dimensional submanifold. Such theories could
have interesting consequences for particle physics and gravitational physics.
In this essay we concentrate on the cosmological constant (CC) problem in the
context of b... | [
{
"created": "Wed, 30 May 2001 02:01:52 GMT",
"version": "v1"
}
] | 2009-09-17 | [
[
"Csaki",
"C.",
""
],
[
"Erlich",
"J.",
""
],
[
"Grojean",
"C.",
""
]
] | Brane worlds are theories with extra spatial dimensions in which ordinary matter is localized on a (3+1) dimensional submanifold. Such theories could have interesting consequences for particle physics and gravitational physics. In this essay we concentrate on the cosmological constant (CC) problem in the context of bra... |
1605.08901 | Carlos A. R. Herdeiro | Yves Brihaye, Carlos Herdeiro, Eugen Radu | Inside black holes with synchronized hair | 15 pages, 4 figures | null | 10.1016/j.physletb.2016.06.078 | null | gr-qc astro-ph.HE hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recently, various examples of asymptotically flat, rotating black holes (BHs)
with synchronized hair have been explicitly constructed, including Kerr BHs
with scalar or Proca hair, and Myers-Perry BHs with scalar hair and a mass gap,
showing there is a general mechanism at work. All these solutions have been
found nu... | [
{
"created": "Sat, 28 May 2016 15:02:33 GMT",
"version": "v1"
}
] | 2016-08-03 | [
[
"Brihaye",
"Yves",
""
],
[
"Herdeiro",
"Carlos",
""
],
[
"Radu",
"Eugen",
""
]
] | Recently, various examples of asymptotically flat, rotating black holes (BHs) with synchronized hair have been explicitly constructed, including Kerr BHs with scalar or Proca hair, and Myers-Perry BHs with scalar hair and a mass gap, showing there is a general mechanism at work. All these solutions have been found nume... |
gr-qc/0012011 | Sawa Manoff | S. Manoff, B. Dimitrov | On the existence of a gyroscope in spaces with affine connections and
metrics | 12 pages, RevTex | Gen.Rel.Grav. 35 (2003) 25-33 | 10.1023/A:1021346626475 | null | gr-qc | null | Conditions for the existence of a gyroscope in spaces with affine connections
and metrics are found. They appear as special types of Fermi-Walker transports
for vector fields, lying in a subspace, orthogonal to the velocity vector field
of an observer.
PACS numbers: 04.20Cv, 04.90.+e, 04.50.+h, 02.40.Ky
| [
{
"created": "Mon, 4 Dec 2000 12:19:18 GMT",
"version": "v1"
}
] | 2015-06-25 | [
[
"Manoff",
"S.",
""
],
[
"Dimitrov",
"B.",
""
]
] | Conditions for the existence of a gyroscope in spaces with affine connections and metrics are found. They appear as special types of Fermi-Walker transports for vector fields, lying in a subspace, orthogonal to the velocity vector field of an observer. PACS numbers: 04.20Cv, 04.90.+e, 04.50.+h, 02.40.Ky |
2104.07686 | Marco Astorino | Marco Astorino, Adriano Vigan\`o | Binary black hole system at equilibrium | 8 pages, 2 figures, Mathematica worksheet included in the arXiv
files, v2: typos corrected, references added | Phys.Lett.B 820 (2021) 136506 | 10.1016/j.physletb.2021.136506 | IFUM-1090-FT | gr-qc astro-ph.HE hep-th | http://creativecommons.org/licenses/by/4.0/ | An exact and analytical solution of four dimensional vacuum General
Relativity representing a system of two static black holes at equilibrium is
presented. The metric is completely regular outside the event horizons, both
from curvature and conical singularities. The balance between the two
Schwarzschild sources is g... | [
{
"created": "Thu, 15 Apr 2021 18:00:06 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Jun 2021 17:01:08 GMT",
"version": "v2"
}
] | 2023-08-22 | [
[
"Astorino",
"Marco",
""
],
[
"Viganò",
"Adriano",
""
]
] | An exact and analytical solution of four dimensional vacuum General Relativity representing a system of two static black holes at equilibrium is presented. The metric is completely regular outside the event horizons, both from curvature and conical singularities. The balance between the two Schwarzschild sources is gra... |
gr-qc/0211064 | Nicolas Arnaud | Nicolas Arnaud, Matteo Barsuglia, Marie-Anne Bizouard, Violette
Brisson, Fabien Cavalier, Michel Davier, Patrice Hello, Stephane Kreckelbergh
and Edward K. Porter | An elliptical tiling method to generate a 2-dimensional set of templates
for gravitational wave search | Accepted in PRD | Phys.Rev. D67 (2003) 102003 | 10.1103/PhysRevD.67.102003 | null | gr-qc | null | Searching for a signal depending on unknown parameters in a noisy background
with matched filtering techniques always requires an analysis of the data with
several templates in parallel in order to ensure a proper match between the
filter and the real waveform. The key feature of such an implementation is the
design ... | [
{
"created": "Mon, 18 Nov 2002 19:22:04 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Jan 2003 07:59:10 GMT",
"version": "v2"
}
] | 2009-11-07 | [
[
"Arnaud",
"Nicolas",
""
],
[
"Barsuglia",
"Matteo",
""
],
[
"Bizouard",
"Marie-Anne",
""
],
[
"Brisson",
"Violette",
""
],
[
"Cavalier",
"Fabien",
""
],
[
"Davier",
"Michel",
""
],
[
"Hello",
"Patrice",
""
... | Searching for a signal depending on unknown parameters in a noisy background with matched filtering techniques always requires an analysis of the data with several templates in parallel in order to ensure a proper match between the filter and the real waveform. The key feature of such an implementation is the design of... |
2108.00896 | Paul Lageyre | Paul Lageyre, Xavier Ribeyre, Emmanuel D'Humieres | Gravitational influence of high power laser pulses | null | null | 10.1103/PhysRevD.105.104052 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The study of the generation of metric perturbation in the laboratory presents
an opportunity to observe and understand more easily the mechanisms at work in
gravitation. The present study will focus on the metric perturbation generated
by a light pulse, as it could be generated by a current ultra-high power laser.
Al... | [
{
"created": "Fri, 30 Jul 2021 12:40:21 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Mar 2022 20:06:46 GMT",
"version": "v2"
},
{
"created": "Thu, 31 Mar 2022 18:49:22 GMT",
"version": "v3"
}
] | 2022-06-08 | [
[
"Lageyre",
"Paul",
""
],
[
"Ribeyre",
"Xavier",
""
],
[
"D'Humieres",
"Emmanuel",
""
]
] | The study of the generation of metric perturbation in the laboratory presents an opportunity to observe and understand more easily the mechanisms at work in gravitation. The present study will focus on the metric perturbation generated by a light pulse, as it could be generated by a current ultra-high power laser. Alth... |
1906.11572 | D. Ghilencea | D. M. Ghilencea | Weyl $R^2$ inflation with an emergent Planck scale | v3: 14 pages; Section 4 and references added | JHEP10(2019)209 | 10.1007/JHEP10(2019)209 | null | gr-qc astro-ph.CO hep-ph hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study inflation in Weyl gravity. The original Weyl quadratic gravity,
based on Weyl conformal geometry, is a theory invariant under Weyl symmetry of
(gauged) local scale transformations. In this theory Planck scale ($M$) emerges
as the scale where this symmetry is broken spontaneously by a geometric
Stueckelberg m... | [
{
"created": "Thu, 27 Jun 2019 11:58:21 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Jul 2019 08:51:06 GMT",
"version": "v2"
},
{
"created": "Mon, 30 Sep 2019 13:24:17 GMT",
"version": "v3"
}
] | 2020-01-08 | [
[
"Ghilencea",
"D. M.",
""
]
] | We study inflation in Weyl gravity. The original Weyl quadratic gravity, based on Weyl conformal geometry, is a theory invariant under Weyl symmetry of (gauged) local scale transformations. In this theory Planck scale ($M$) emerges as the scale where this symmetry is broken spontaneously by a geometric Stueckelberg mec... |
1901.00869 | Wei Wei | Wei Wei and E. A. Huerta | Gravitational Wave Denoising of Binary Black Hole Mergers with Deep
Learning | 26 pages, 10 figures. v2: new results for denoising and deglitching
included, as well as denoising of spin-precessing binary black hole signals
embedded in real advanced LIGO data. Accepted to Physics Letters B | Physics Letters B 800 (2020) 135081 | 10.1016/j.physletb.2019.135081 | null | gr-qc astro-ph.IM physics.data-an | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Gravitational wave detection requires an in-depth understanding of the
physical properties of gravitational wave signals, and the noise from which
they are extracted. Understanding the statistical properties of noise is a
complex endeavor, particularly in realistic detection scenarios. In this
article we demonstrate ... | [
{
"created": "Thu, 3 Jan 2019 19:00:05 GMT",
"version": "v1"
},
{
"created": "Tue, 3 Dec 2019 20:00:48 GMT",
"version": "v2"
}
] | 2019-12-05 | [
[
"Wei",
"Wei",
""
],
[
"Huerta",
"E. A.",
""
]
] | Gravitational wave detection requires an in-depth understanding of the physical properties of gravitational wave signals, and the noise from which they are extracted. Understanding the statistical properties of noise is a complex endeavor, particularly in realistic detection scenarios. In this article we demonstrate th... |
1609.08580 | Sabir Ramazanov Dr. | Eugeny Babichev and Sabir Ramazanov | Gravitational focusing of Imperfect Dark Matter | 34 pages, 1 figure. Clarifications and references added. Matches
published version | Phys. Rev. D 95, 024025 (2017) | 10.1103/PhysRevD.95.024025 | LPT-Orsay-17-02 | gr-qc astro-ph.CO hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by the projectable Horava--Lifshitz model/mimetic matter scenario,
we consider a particular modification of standard gravity, which manifests as
an imperfect low pressure fluid. While practically indistinguishable from a
collection of non-relativistic weakly interacting particles on cosmological
scales, it ... | [
{
"created": "Tue, 27 Sep 2016 19:01:22 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Oct 2016 15:13:10 GMT",
"version": "v2"
},
{
"created": "Tue, 24 Jan 2017 15:17:24 GMT",
"version": "v3"
}
] | 2017-01-25 | [
[
"Babichev",
"Eugeny",
""
],
[
"Ramazanov",
"Sabir",
""
]
] | Motivated by the projectable Horava--Lifshitz model/mimetic matter scenario, we consider a particular modification of standard gravity, which manifests as an imperfect low pressure fluid. While practically indistinguishable from a collection of non-relativistic weakly interacting particles on cosmological scales, it le... |
0804.4067 | Mattias N. R. Wohlfarth | Raffaele Punzi, Frederic P. Schuller, Mattias N.R. Wohlfarth | Brans-Dicke geometry | 8 pages, v2 with additional comment and references | Phys.Lett.B670:161-164,2008 | 10.1016/j.physletb.2008.10.046 | null | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We reveal the non-metric geometry underlying omega-->0 Brans-Dicke theory by
unifying the metric and scalar field into a single geometric structure. Taking
this structure seriously as the geometry to which matter universally couples,
we show that the theory is fully consistent with solar system tests. This is in
stri... | [
{
"created": "Fri, 25 Apr 2008 09:12:37 GMT",
"version": "v1"
},
{
"created": "Fri, 9 May 2008 08:52:07 GMT",
"version": "v2"
}
] | 2008-12-18 | [
[
"Punzi",
"Raffaele",
""
],
[
"Schuller",
"Frederic P.",
""
],
[
"Wohlfarth",
"Mattias N. R.",
""
]
] | We reveal the non-metric geometry underlying omega-->0 Brans-Dicke theory by unifying the metric and scalar field into a single geometric structure. Taking this structure seriously as the geometry to which matter universally couples, we show that the theory is fully consistent with solar system tests. This is in striki... |
1612.06718 | Vladimir Kassandrov | Vladimir V. Kassandrov, Joseph A. Rizcallah | Maxwell, Yang-Mills, Weyl and eikonal fields defined by any null
shear-free congruence | 18 pages, 2 figures. Partly reproduces the old (unpublished) preprint
arXiv:gr-qc/0012109 | International Journal of Geometrical Methods in Modern Physics,
Vol.14 (2017), 1750031 (22 pp.) | 10.1142/S0219887817500311 | null | gr-qc hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that (specifically scaled) equations of shear-free null geodesic
congruences on the Minkowski space-time possess intrinsic self-dual, restricted
gauge and algebraic structures. The complex eikonal, Weyl 2-spinor,
$SL(2,\mathbb C)$ Yang-Mills and complex Maxwell fields, the latter produced by
integer-valued el... | [
{
"created": "Mon, 19 Dec 2016 19:32:53 GMT",
"version": "v1"
}
] | 2017-01-01 | [
[
"Kassandrov",
"Vladimir V.",
""
],
[
"Rizcallah",
"Joseph A.",
""
]
] | We show that (specifically scaled) equations of shear-free null geodesic congruences on the Minkowski space-time possess intrinsic self-dual, restricted gauge and algebraic structures. The complex eikonal, Weyl 2-spinor, $SL(2,\mathbb C)$ Yang-Mills and complex Maxwell fields, the latter produced by integer-valued elec... |
1502.07245 | Piotr Jaranowski | Thibault Damour, Piotr Jaranowski, Gerhard Sch\"afer | Fourth post-Newtonian effective one-body dynamics | Minor amendments added; misprints removed; identical with published
version; 18 pages, 1 figure | Phys. Rev. D 91, 084024 (2015) | 10.1103/PhysRevD.91.084024 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The conservative dynamics of gravitationally interacting two-point-mass
systems has been recently determined at the fourth post-Newtonian (4PN)
approximation [T.Damour, P.Jaranowski, and G.Sch\"afer, Phys. Rev. D 89, 064058
(2014)], and found to be nonlocal in time. We show how to transcribe this
dynamics within the ... | [
{
"created": "Wed, 25 Feb 2015 17:06:00 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Apr 2015 13:01:56 GMT",
"version": "v2"
}
] | 2015-05-01 | [
[
"Damour",
"Thibault",
""
],
[
"Jaranowski",
"Piotr",
""
],
[
"Schäfer",
"Gerhard",
""
]
] | The conservative dynamics of gravitationally interacting two-point-mass systems has been recently determined at the fourth post-Newtonian (4PN) approximation [T.Damour, P.Jaranowski, and G.Sch\"afer, Phys. Rev. D 89, 064058 (2014)], and found to be nonlocal in time. We show how to transcribe this dynamics within the ef... |
1609.07225 | Vishal Baibhav | Vishal Baibhav and Debaprasad Maity | Boson Stars in Higher Derivative Gravity | null | Phys. Rev. D 95, 024027 (2017) | 10.1103/PhysRevD.95.024027 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we have constructed Boson star (BS) solutions in four
dimensional scalar-Gauss-Bonnet (sGB) theory. In order to have non-trivial
effect from Gauss-Bonnet term, we invoked non-minimal coupling between a
complex scalar field and the Gauss-Bonnet term with a coupling parameter,
$\alpha$. We show that the ... | [
{
"created": "Fri, 23 Sep 2016 04:07:39 GMT",
"version": "v1"
},
{
"created": "Sun, 16 Oct 2016 00:17:00 GMT",
"version": "v2"
}
] | 2017-01-25 | [
[
"Baibhav",
"Vishal",
""
],
[
"Maity",
"Debaprasad",
""
]
] | In this paper, we have constructed Boson star (BS) solutions in four dimensional scalar-Gauss-Bonnet (sGB) theory. In order to have non-trivial effect from Gauss-Bonnet term, we invoked non-minimal coupling between a complex scalar field and the Gauss-Bonnet term with a coupling parameter, $\alpha$. We show that the sc... |
0901.3971 | David Kofro\v{n} | Jiri Bicak, David Kofron | The Newtonian limit of spacetimes for accelerated particles and black
holes | null | Gen. Relat. Gravit. 41(1), 153-172 (2009) | 10.1007/s10714-008-0662-0 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Solutions of vacuum Einstein's field equations describing uniformly
accelerated particles or black holes belong to the class of boost-rotation
symmetric spacetimes. They are the only explicit solutions known which
represent moving finite objects. Their Newtonian limit is analyzed using the
Ehlers frame theory. Generi... | [
{
"created": "Mon, 26 Jan 2009 11:05:26 GMT",
"version": "v1"
}
] | 2009-01-27 | [
[
"Bicak",
"Jiri",
""
],
[
"Kofron",
"David",
""
]
] | Solutions of vacuum Einstein's field equations describing uniformly accelerated particles or black holes belong to the class of boost-rotation symmetric spacetimes. They are the only explicit solutions known which represent moving finite objects. Their Newtonian limit is analyzed using the Ehlers frame theory. Generic ... |
0806.4102 | Valerio Bozza | V. Bozza | Optical caustics of Kerr spacetime: the full structure | 20 pages, 21 figures | Phys.Rev.D78:063014,2008 | 10.1103/PhysRevD.78.063014 | null | gr-qc astro-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present an exhaustive numerical investigation of the optical caustics in
gravitational lensing by a spinning black hole for an observer at infinity.
Besides the primary caustic, we examine higher order caustics, formed by
photons performing one or several loops around the black hole. Our
investigation covers the w... | [
{
"created": "Wed, 25 Jun 2008 14:07:10 GMT",
"version": "v1"
},
{
"created": "Wed, 8 Oct 2008 16:48:01 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Bozza",
"V.",
""
]
] | We present an exhaustive numerical investigation of the optical caustics in gravitational lensing by a spinning black hole for an observer at infinity. Besides the primary caustic, we examine higher order caustics, formed by photons performing one or several loops around the black hole. Our investigation covers the who... |
gr-qc/0009022 | Pavel Klepac | P. Klepac, J. Horsky | Cylindrically symmetric perfect-fluid universes | LaTeX, 9 pages | Class.Quant.Grav. 17 (2000) 2547 | 10.1088/0264-9381/17/13/308 | null | gr-qc | null | The aim of this paper is to examine some obtained exact solutions of the
Einstein-Maxwell equations, especially their properties from a chronological
point of view. Each our spacetime is stationary cylindrically symmetric and it
is filled up with an perfect fluid that is electrically charged. There are two
classes of... | [
{
"created": "Thu, 7 Sep 2000 16:45:11 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Klepac",
"P.",
""
],
[
"Horsky",
"J.",
""
]
] | The aim of this paper is to examine some obtained exact solutions of the Einstein-Maxwell equations, especially their properties from a chronological point of view. Each our spacetime is stationary cylindrically symmetric and it is filled up with an perfect fluid that is electrically charged. There are two classes of s... |
gr-qc/9710033 | Herbert Liebl | W. Kummer, H. Liebl (Vienna, Tech. U.), D.V. Vassilevich (St.
Petersburg University) | Exact Path Integral Quantization of 2-D Dilaton Gravity | 3 pages, LaTeX, requires mprocl.sty available at
http://shemesh.fiz.huji.ac.il/MG8/submission.html , talk presented at the 8th
Marcel Grossmann conference (MG8) | null | null | null | gr-qc | null | We demonstrate that in the absence of `matter' fields to all orders of
perturbation theory and for all 2D dilaton theories the quantum effective
action coincides with the classical one. This resolves the apparent
contradiction between the well established results of Dirac quantization and
perturbative (path-integral)... | [
{
"created": "Mon, 6 Oct 1997 14:55:07 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kummer",
"W.",
"",
"Vienna, Tech. U."
],
[
"Liebl",
"H.",
"",
"Vienna, Tech. U."
],
[
"Vassilevich",
"D. V.",
"",
"St.\n Petersburg University"
]
] | We demonstrate that in the absence of `matter' fields to all orders of perturbation theory and for all 2D dilaton theories the quantum effective action coincides with the classical one. This resolves the apparent contradiction between the well established results of Dirac quantization and perturbative (path-integral) a... |
1604.08332 | Jie-Xiong Mo | Jie-Xiong Mo, Gu-Qiang Li, Ze-Tao Lin and Xiao-Xiong Zeng | Revisiting van der Waals like behavior of f(R) AdS black holes via the
two point correlation function | Revised version. Match the published version. 14pages,5figures | Nuclear Physics B 918 (2017)11-22 | 10.1016/j.nuclphysb.2017.02.015 | null | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Van der Waals like behavior of $f(R)$ AdS black holes is revisited via two
point correlation function, which is dual to the geodesic length in the bulk.
The equation of motion constrained by the boundary condition is solved
numerically and both the effect of boundary region size and $f(R)$ gravity are
probed. Moreove... | [
{
"created": "Thu, 28 Apr 2016 07:38:23 GMT",
"version": "v1"
},
{
"created": "Wed, 4 May 2016 02:41:24 GMT",
"version": "v2"
},
{
"created": "Thu, 9 Mar 2017 06:16:56 GMT",
"version": "v3"
}
] | 2017-03-10 | [
[
"Mo",
"Jie-Xiong",
""
],
[
"Li",
"Gu-Qiang",
""
],
[
"Lin",
"Ze-Tao",
""
],
[
"Zeng",
"Xiao-Xiong",
""
]
] | Van der Waals like behavior of $f(R)$ AdS black holes is revisited via two point correlation function, which is dual to the geodesic length in the bulk. The equation of motion constrained by the boundary condition is solved numerically and both the effect of boundary region size and $f(R)$ gravity are probed. Moreover,... |
2312.02492 | Gaurav Gadbail | Gaurav N. Gadbail, Avik De, P.K. Sahoo | Cosmological reconstruction and $\Lambda$CDM universe in $f(Q,C)$
gravity | EPJC published version | Eur. Phys. J. C 83,1099 (2023) | 10.1140/epjc/s10052-023-12288-y | null | gr-qc hep-th | http://creativecommons.org/licenses/by/4.0/ | Symmetric Teleparallel Gravity allows for the reformulation of gravity in the
form of nonmetricity by vanishing the contorsion term in the generic affine
connection. Our focus is on investigating a recently proposed extension of this
theory in which the Lagrangian has the form $f(Q,C)$ by incorporating the
boundary t... | [
{
"created": "Tue, 5 Dec 2023 04:49:01 GMT",
"version": "v1"
}
] | 2023-12-06 | [
[
"Gadbail",
"Gaurav N.",
""
],
[
"De",
"Avik",
""
],
[
"Sahoo",
"P. K.",
""
]
] | Symmetric Teleparallel Gravity allows for the reformulation of gravity in the form of nonmetricity by vanishing the contorsion term in the generic affine connection. Our focus is on investigating a recently proposed extension of this theory in which the Lagrangian has the form $f(Q,C)$ by incorporating the boundary ter... |
1503.06768 | Stephen Appleby | Stephen Appleby | Self Tuning Scalar Fields in Spherically Symmetric Spacetimes | null | null | 10.1088/1475-7516/2015/05/009 | null | gr-qc astro-ph.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We search for self tuning solutions to the Einstein-scalar field equations
for the simplest class of `Fab-Four' models with constant potentials. We first
review the conditions under which self tuning occurs in a cosmological
spacetime, and by introducing a small modification to the original theory -
introducing the s... | [
{
"created": "Thu, 19 Mar 2015 03:10:36 GMT",
"version": "v1"
}
] | 2015-05-20 | [
[
"Appleby",
"Stephen",
""
]
] | We search for self tuning solutions to the Einstein-scalar field equations for the simplest class of `Fab-Four' models with constant potentials. We first review the conditions under which self tuning occurs in a cosmological spacetime, and by introducing a small modification to the original theory - introducing the sec... |
gr-qc/9301022 | Marco | M. Cavaglia' V. de Alfaro and F. de Felice | An Anisotropic Wormhole:TUNNELLING in Time and Space | PLAIN-TEX, 16 pages (4 figures not included), Report DFTT 2/93 | Phys.Rev. D49 (1994) 6493-6499 | 10.1103/PhysRevD.49.6493 | null | gr-qc | null | We discuss the structure of a gravitational euclidean instanton obtained
through coupling of gravity to electromagnetism. Its topology at fixed $t$ is
$S^1\times S^2$. This euclidean solution can be interpreted as a tunnelling to
a hyperbolic space (baby universe) at $t=0$ or alternatively as a static
wormhole that j... | [
{
"created": "Wed, 27 Jan 1993 17:12:57 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"de Alfaro",
"M. Cavaglia' V.",
""
],
[
"de Felice",
"F.",
""
]
] | We discuss the structure of a gravitational euclidean instanton obtained through coupling of gravity to electromagnetism. Its topology at fixed $t$ is $S^1\times S^2$. This euclidean solution can be interpreted as a tunnelling to a hyperbolic space (baby universe) at $t=0$ or alternatively as a static wormhole that joi... |
1502.03957 | Vee-Liem Saw | Vee-Liem Saw | Constructing vacuum spacetimes by generating manifolds of revolution
around a curve | 27 pages, 3 figures. v4: The vacuum solutions containing closed
timelike curves are discussed. Accepted by Classical and Quantum Gravity | Classical and Quantum Gravity, 33, 065006, 2016 | 10.1088/0264-9381/33/6/065006 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop a general perturbative analysis on vacuum spacetimes which can be
constructed by generating manifolds of revolution around a curve, and apply it
to the Schwarzschild metric. The following different perturbations are carried
out separately: 1) Non-rotating 2-spheres are added along a plane curve
slightly de... | [
{
"created": "Fri, 13 Feb 2015 12:11:16 GMT",
"version": "v1"
},
{
"created": "Sat, 4 Apr 2015 09:23:47 GMT",
"version": "v2"
},
{
"created": "Tue, 23 Jun 2015 08:16:38 GMT",
"version": "v3"
},
{
"created": "Wed, 25 Nov 2015 11:31:01 GMT",
"version": "v4"
}
] | 2016-02-25 | [
[
"Saw",
"Vee-Liem",
""
]
] | We develop a general perturbative analysis on vacuum spacetimes which can be constructed by generating manifolds of revolution around a curve, and apply it to the Schwarzschild metric. The following different perturbations are carried out separately: 1) Non-rotating 2-spheres are added along a plane curve slightly devi... |
1902.01504 | Omar Gallegos | Omar Gallegos and Tonatiuh Matos | Weak gravitational quantum effects in boson particles | 19 pages | General Relativity and Gravitation 53, 50 (2021) | 10.1007/s10714-021-02810-6 | null | gr-qc | http://creativecommons.org/publicdomain/zero/1.0/ | We rewrite the Klein-Gordon (KG) equation in an arbitrary space-time
transforming it into a generalized Schr\"odinger equation. Then we take the
weak field limit and show that this equation has some differences with the
traditional Schr\"odinger equation plus a gravitational field. Thus, this
procedure shows that the... | [
{
"created": "Tue, 5 Feb 2019 00:48:30 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Jun 2019 05:32:54 GMT",
"version": "v2"
},
{
"created": "Thu, 7 May 2020 06:32:08 GMT",
"version": "v3"
},
{
"created": "Wed, 28 Apr 2021 00:43:12 GMT",
"version": "v4"
}
] | 2021-04-30 | [
[
"Gallegos",
"Omar",
""
],
[
"Matos",
"Tonatiuh",
""
]
] | We rewrite the Klein-Gordon (KG) equation in an arbitrary space-time transforming it into a generalized Schr\"odinger equation. Then we take the weak field limit and show that this equation has some differences with the traditional Schr\"odinger equation plus a gravitational field. Thus, this procedure shows that the S... |
gr-qc/0306004 | W. F. Kao | W.F. Kao and Chopin Soo | A note on 4-dimensional traversable wormholes and energy conditions in
higher dimensions | 4 pages | null | null | null | gr-qc | null | We show explicitly that traversable wormholes requiring exotic matter in
4-dimensions nevertheless have acceptable stress-tensors obeying reasonable
energy conditions in higher dimensions if the wormholes are regarded as being
embedded in higher dimensional space-times satisfying Einstein's field
equations. From the ... | [
{
"created": "Mon, 2 Jun 2003 11:12:07 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Kao",
"W. F.",
""
],
[
"Soo",
"Chopin",
""
]
] | We show explicitly that traversable wormholes requiring exotic matter in 4-dimensions nevertheless have acceptable stress-tensors obeying reasonable energy conditions in higher dimensions if the wormholes are regarded as being embedded in higher dimensional space-times satisfying Einstein's field equations. From the 4-... |
1901.11268 | Arkadiusz B{\l}aut | Arkadiusz B{\l}aut | Angular and frequency response of the gravitational wave interferometers
in the metric theories of gravity | 18 pages, 10 figures | Physical Review D 85, 043005 (2012) | 10.1103/PhysRevD.85.043005 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze detector responses of gravitational wave detectors for
gravitational waves with arbitrary polarizations predicted in the metric
theories of gravity. We present the general formulas for the frequency
responses valid in various interferometric arrangements including Michelson,
Delay-Line and Fabry-Perot dete... | [
{
"created": "Thu, 31 Jan 2019 08:42:47 GMT",
"version": "v1"
}
] | 2019-02-06 | [
[
"Błaut",
"Arkadiusz",
""
]
] | We analyze detector responses of gravitational wave detectors for gravitational waves with arbitrary polarizations predicted in the metric theories of gravity. We present the general formulas for the frequency responses valid in various interferometric arrangements including Michelson, Delay-Line and Fabry-Perot detect... |
gr-qc/0109025 | Sergio M. C. V. Goncalves | Sergio M. C. V. Goncalves (Caltech) | Strong curvature singularities in quasispherical asymptotically de
Sitter dust collapse | 16 pages, LaTeX, uses IOP package, 2 eps figures; accepted for
publication in Class. Quantum Grav | Class.Quant.Grav. 18 (2001) 4517-4530 | 10.1088/0264-9381/18/21/309 | null | gr-qc | null | We study the occurrence, visibility, and curvature strength of singularities
in dust-containing Szekeres spacetimes (which possess no Killing vectors) with
a positive cosmological constant. We find that such singularities can be
locally naked, Tipler strong, and develop from a non-zero-measure set of
regular initial ... | [
{
"created": "Thu, 6 Sep 2001 16:04:50 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Goncalves",
"Sergio M. C. V.",
"",
"Caltech"
]
] | We study the occurrence, visibility, and curvature strength of singularities in dust-containing Szekeres spacetimes (which possess no Killing vectors) with a positive cosmological constant. We find that such singularities can be locally naked, Tipler strong, and develop from a non-zero-measure set of regular initial da... |
2403.02373 | Beyhan Pulice | Beyhan Puli\c{c}e, Reggie C. Pantig, Ali \"Ovg\"un, Durmu\c{s} Demir | Asymptotically-Flat Black Hole Solutions in Symmergent Gravity | 20 pages, 10 figures. Accepted for publication in Fortschritte der
Physik. Dedicated to Durmu\c{s} Demir (1967-2024), our supervisor, candid
friend, and guiding light. His unwavering supports always led our way | Fortsch.Phys.(2024) | 10.1002/prop.202300138 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Symmergent gravity is an emergent gravity model with an $R+R^2$ curvature
sector and an extended particle sector having new particles beyond the known
ones. With constant scalar curvature, asymptotically flat black hole solutions
are known to have no sensitivity to the quadratic curvature term (coefficient
of $R^2$).... | [
{
"created": "Mon, 4 Mar 2024 18:52:27 GMT",
"version": "v1"
}
] | 2024-03-06 | [
[
"Puliçe",
"Beyhan",
""
],
[
"Pantig",
"Reggie C.",
""
],
[
"Övgün",
"Ali",
""
],
[
"Demir",
"Durmuş",
""
]
] | Symmergent gravity is an emergent gravity model with an $R+R^2$ curvature sector and an extended particle sector having new particles beyond the known ones. With constant scalar curvature, asymptotically flat black hole solutions are known to have no sensitivity to the quadratic curvature term (coefficient of $R^2$). W... |
1605.00123 | Caio Macedo | Caio F. B. Macedo, Lu\'is C. B. Crispino, Ednilton S. de Oliveira | Scalar waves in regular Bardeen black holes: Scattering, absorption and
quasinormal modes | To appear in a Special Issue of the IJMPD on Selected Papers of the
III Amazonian Symposium on Physics (Eds. C. Herdeiro, E. Berti, V. Cardoso,
L. C. Crispino, L. Gualtieri and U. Sperhake). 10 pages, 4 figures | null | 10.1142/S021827181641008X | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the phenomenology of massless scalar fields around a regular
Bardeen black hole, namely absorption cross section, scattering cross section
and quasinormal modes. We compare the Bardeen and Reissner-Nordstr\"om black
holes, showing limiting cases for which their properties are similar.
| [
{
"created": "Sat, 30 Apr 2016 15:22:09 GMT",
"version": "v1"
}
] | 2016-08-17 | [
[
"Macedo",
"Caio F. B.",
""
],
[
"Crispino",
"Luís C. B.",
""
],
[
"de Oliveira",
"Ednilton S.",
""
]
] | We discuss the phenomenology of massless scalar fields around a regular Bardeen black hole, namely absorption cross section, scattering cross section and quasinormal modes. We compare the Bardeen and Reissner-Nordstr\"om black holes, showing limiting cases for which their properties are similar. |
1501.00486 | Ujjal Debnath | Ujjal Debnath and Mubasher Jamil | Spherical Top-Hat Collapse of Viscous Modified Chaplygin Gas in
Einstein's Gravity and Loop Quantum Cosmology | 7 pages, 14 figures. arXiv admin note: text overlap with
arXiv:1401.1270, arXiv:1110.6205 by other authors | null | null | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we focus on the collapse of a spherically symmetric
perturbation, with a classical top-hat profile, to study the nonlinear
evolution of only viscous modified Chaplygin gas (VMCG) perturbations in
Einstein's gravity as well as in loop quantum Cosmology (LQC). In the perturbed
region, we have investigated... | [
{
"created": "Sat, 3 Jan 2015 06:29:29 GMT",
"version": "v1"
}
] | 2015-01-06 | [
[
"Debnath",
"Ujjal",
""
],
[
"Jamil",
"Mubasher",
""
]
] | In this work, we focus on the collapse of a spherically symmetric perturbation, with a classical top-hat profile, to study the nonlinear evolution of only viscous modified Chaplygin gas (VMCG) perturbations in Einstein's gravity as well as in loop quantum Cosmology (LQC). In the perturbed region, we have investigated t... |
1509.03267 | Manuel Rodrigues | Ednaldo L. B. Junior and Manuel E. Rodrigues | Generalized Teleparallel Theory | 15 pages. arXiv admin note: text overlap with arXiv:1503.07427,
arXiv:1503.07857 | Eur. Phys. J. C (2016) 76:376 | 10.1140/epjc/s10052-016-4220-8 | null | gr-qc astro-ph.CO hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a theory in which the gravitational interaction is described
only by torsion, but that generalizes the Teleparallel Theory still keeping the
invariance of local Lorentz transformations in one particular case. We show
that our theory falls, to a certain limit of a real parameter, in the
$f(\bar{R})$ Gravi... | [
{
"created": "Fri, 4 Sep 2015 00:50:40 GMT",
"version": "v1"
},
{
"created": "Wed, 6 Jul 2016 16:28:40 GMT",
"version": "v2"
}
] | 2016-07-07 | [
[
"Junior",
"Ednaldo L. B.",
""
],
[
"Rodrigues",
"Manuel E.",
""
]
] | We construct a theory in which the gravitational interaction is described only by torsion, but that generalizes the Teleparallel Theory still keeping the invariance of local Lorentz transformations in one particular case. We show that our theory falls, to a certain limit of a real parameter, in the $f(\bar{R})$ Gravity... |
1708.06255 | Jorge Noronha | Fabio S. Bemfica (Rio Grande do Norte U.), Marcelo M. Disconzi
(Vanderbilt U.), Jorge Noronha (Sao Paulo U.) | Causality and existence of solutions of relativistic viscous fluid
dynamics with gravity | 33 pages, 5 figures. Substantial improvements were made: the new
conformal tensor is now derived from kinetic theory; the causality and
well-posedness theorems now hold under more general conditions on the
transport coefficients; further discussion and applications have also been
included; new references were a... | Phys. Rev. D 98, 104064 (2018) | 10.1103/PhysRevD.98.104064 | null | gr-qc hep-ph hep-th math-ph math.MP nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A new approach is described to help improve the foundations of relativistic
viscous fluid dynamics and its coupling to general relativity. Focusing on
neutral conformal fluids constructed solely in terms of hydrodynamic variables,
we derive the most general viscous energy-momentum tensor yielding equations of
motion ... | [
{
"created": "Fri, 18 Aug 2017 16:54:29 GMT",
"version": "v1"
},
{
"created": "Fri, 10 Aug 2018 07:43:26 GMT",
"version": "v2"
}
] | 2018-12-05 | [
[
"Bemfica",
"Fabio S.",
"",
"Rio Grande do Norte U."
],
[
"Disconzi",
"Marcelo M.",
"",
"Vanderbilt U."
],
[
"Noronha",
"Jorge",
"",
"Sao Paulo U."
]
] | A new approach is described to help improve the foundations of relativistic viscous fluid dynamics and its coupling to general relativity. Focusing on neutral conformal fluids constructed solely in terms of hydrodynamic variables, we derive the most general viscous energy-momentum tensor yielding equations of motion of... |
gr-qc/0508051 | Eugen Radu | Eugen Radu | On a Petrov-type D homogeneous solution | 20 pages, TeX file | Int.J.Mod.Phys. A21 (2006) 4355-4372 | 10.1142/S0217751X06032484 | null | gr-qc | null | We present a new two-parameter family of solutions of Einstein gravity with
negative cosmological constant in 2+1 dimensions. These solutions are obtained
by squashing the anti-de Sitter geometry along one direction and posses four
Killing vectors. Global properties as well as the four dimensional
generalization are ... | [
{
"created": "Fri, 12 Aug 2005 09:05:37 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Aug 2005 15:30:54 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Radu",
"Eugen",
""
]
] | We present a new two-parameter family of solutions of Einstein gravity with negative cosmological constant in 2+1 dimensions. These solutions are obtained by squashing the anti-de Sitter geometry along one direction and posses four Killing vectors. Global properties as well as the four dimensional generalization are di... |
1011.2595 | Zou De Cheng | Decheng Zou, Ruihong Yue and Zhanying Yang | Thermodynamics of third order Lovelock anti-de Sitter black holes
revisited | 15 pages, 22 figures | Commun.Theor.Phys.55:449-456,2011 | 10.1088/0253-6102/55/3/16 | null | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the mass and the temperature of third order Lovelock black holes
with negative Gauss-Bonnet coefficient $\alpha_2<0$ in anti-de Sitter space and
perform the stability analysis of topological black holes. When $k=-1$, the
third order Lovelock black holes are thermodynamically stable for the whole
range $r_+... | [
{
"created": "Thu, 11 Nov 2010 08:56:16 GMT",
"version": "v1"
}
] | 2011-05-18 | [
[
"Zou",
"Decheng",
""
],
[
"Yue",
"Ruihong",
""
],
[
"Yang",
"Zhanying",
""
]
] | We compute the mass and the temperature of third order Lovelock black holes with negative Gauss-Bonnet coefficient $\alpha_2<0$ in anti-de Sitter space and perform the stability analysis of topological black holes. When $k=-1$, the third order Lovelock black holes are thermodynamically stable for the whole range $r_+$.... |
1407.2350 | Leo Stein | Leo C. Stein | Rapidly rotating black holes in dynamical Chern-Simons gravity:
Decoupling limit solutions and breakdown | 8 pages, 4 figures; matches version appearing in PRD | Phys. Rev. D 90, 044061 (2014) | 10.1103/PhysRevD.90.044061 | null | gr-qc astro-ph.HE hep-ph hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Rapidly rotating black holes are a prime arena for understanding corrections
to Einstein's theory of general relativity (GR). We construct solutions for
rapidly rotating black holes in dynamical Chern-Simons (dCS) gravity, a useful
and motivated example of a post-GR correction. We treat dCS as an effective
theory and... | [
{
"created": "Wed, 9 Jul 2014 04:41:53 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Aug 2014 14:54:28 GMT",
"version": "v2"
}
] | 2014-08-25 | [
[
"Stein",
"Leo C.",
""
]
] | Rapidly rotating black holes are a prime arena for understanding corrections to Einstein's theory of general relativity (GR). We construct solutions for rapidly rotating black holes in dynamical Chern-Simons (dCS) gravity, a useful and motivated example of a post-GR correction. We treat dCS as an effective theory and t... |
2111.12858 | Xi-Long Fan | Xi-Long Fan | Tests of interaction of gravitational waves with detectors | 5 pages, 2 figure | null | null | null | gr-qc astro-ph.HE | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The various materials of test masses, and the difference of arm lengths of
global ground-based gravitational-wave interferometer detectors offer a unique
approach to test Newton's second law, weak equivalence principle, and Einstein
equivalence principle with dynamical space-time effects in terms of the
interaction o... | [
{
"created": "Thu, 25 Nov 2021 00:53:44 GMT",
"version": "v1"
}
] | 2021-11-29 | [
[
"Fan",
"Xi-Long",
""
]
] | The various materials of test masses, and the difference of arm lengths of global ground-based gravitational-wave interferometer detectors offer a unique approach to test Newton's second law, weak equivalence principle, and Einstein equivalence principle with dynamical space-time effects in terms of the interaction of ... |
gr-qc/0201086 | Ulrich Sperhake | Ulrich Sperhake | Non-linear numerical Schemes in General Relativity | 217 pages, 65 figures, PhD thesis, University of Southampton | null | null | null | gr-qc | null | This thesis describes the application of numerical techniques to solve
Einstein's field equations in three distinct cases. First we present the first
long-term stable second order convergent Cauchy characteristic matching code in
cylindrical symmetry including both gravitational degrees of freedom. Compared
with prev... | [
{
"created": "Fri, 25 Jan 2002 20:16:18 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Sperhake",
"Ulrich",
""
]
] | This thesis describes the application of numerical techniques to solve Einstein's field equations in three distinct cases. First we present the first long-term stable second order convergent Cauchy characteristic matching code in cylindrical symmetry including both gravitational degrees of freedom. Compared with previo... |
1008.3261 | Vladimir Dzhunushaliev | Vladimir Dzhunushaliev | Stochastic Einstein equations | 5 pages | IJGMMP, Vol. 8, No. 6 (2011) 1189-1195 | 10.1142/S0219887811005671 | null | gr-qc hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Stochastic Einstein equations are considered when 3D space metric
$\gamma_{ij}$ are stochastic functions. The probability density for the
stochastic quantities is connected with the Perelman's entropy functional. As
an example, the Friedman Universe is considered. It is shown that for the
Friedman Universe the dynami... | [
{
"created": "Thu, 19 Aug 2010 10:18:27 GMT",
"version": "v1"
}
] | 2015-05-19 | [
[
"Dzhunushaliev",
"Vladimir",
""
]
] | Stochastic Einstein equations are considered when 3D space metric $\gamma_{ij}$ are stochastic functions. The probability density for the stochastic quantities is connected with the Perelman's entropy functional. As an example, the Friedman Universe is considered. It is shown that for the Friedman Universe the dynamica... |
2010.06645 | Jungjoon Leo Kim | J. Leo Kim, Ghazal Geshnizjani | Spectrum of Cuscuton Bounce | Version matches JCAP publication | JCAP03(2021)104 | 10.1088/1475-7516/2021/03/104 | null | gr-qc astro-ph.CO hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It has been recently shown that a cosmological bounce model based on Cuscuton
gravity does not have any ghosts or curvature instabilities. We explore whether
Cuscuton bounce can provide an alternative to inflation for generating near
scale-invariant scalar perturbations. While a single field Cuscuton bounce
generical... | [
{
"created": "Tue, 13 Oct 2020 19:27:14 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Apr 2021 18:15:00 GMT",
"version": "v2"
}
] | 2021-04-19 | [
[
"Kim",
"J. Leo",
""
],
[
"Geshnizjani",
"Ghazal",
""
]
] | It has been recently shown that a cosmological bounce model based on Cuscuton gravity does not have any ghosts or curvature instabilities. We explore whether Cuscuton bounce can provide an alternative to inflation for generating near scale-invariant scalar perturbations. While a single field Cuscuton bounce generically... |
2305.07444 | Kajol Paithankar | Kajol Paithankar and Sanved Kolekar | Black hole shadow and acceleration bounds for spherically symmetric
spacetimes | 27 pages, no figures, new section added, Accepted for publication in
PRD | null | null | null | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore an interesting connection between black hole shadow parameters and
the acceleration bounds for radial linear uniformly accelerated (LUA)
trajectories in static spherically symmetric black hole spacetime geometries of
the Schwarzschild type. For an incoming radial LUA trajectory to escape back to
infinity, ... | [
{
"created": "Fri, 12 May 2023 13:03:59 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Nov 2023 10:04:58 GMT",
"version": "v2"
}
] | 2023-11-06 | [
[
"Paithankar",
"Kajol",
""
],
[
"Kolekar",
"Sanved",
""
]
] | We explore an interesting connection between black hole shadow parameters and the acceleration bounds for radial linear uniformly accelerated (LUA) trajectories in static spherically symmetric black hole spacetime geometries of the Schwarzschild type. For an incoming radial LUA trajectory to escape back to infinity, th... |
gr-qc/0006097 | Sayan Kar | Sayan Kar, Parthasarathi Majumdar, Soumitra Sengupta, Aninda Sinha | Does a Kalb-Ramond field make spacetime optically active | Revised version with several additions and deletions | Eur.Phys.J.C23:357-361,2002 | 10.1007/s100520100872 | null | gr-qc hep-th | null | A spacetime with torsion produced by a Kalb-Ramond field coupled
gravitationally to the Maxwell field, in accordance with a recent proposal by
two of us (PM and SS), is argued to lead to an optical activity in synchrotron
radiation from cosmologically distant radio sources. We suggest that this could
qualitatively ex... | [
{
"created": "Wed, 28 Jun 2000 10:16:08 GMT",
"version": "v1"
},
{
"created": "Sun, 24 Sep 2000 09:57:01 GMT",
"version": "v2"
}
] | 2011-09-13 | [
[
"Kar",
"Sayan",
""
],
[
"Majumdar",
"Parthasarathi",
""
],
[
"Sengupta",
"Soumitra",
""
],
[
"Sinha",
"Aninda",
""
]
] | A spacetime with torsion produced by a Kalb-Ramond field coupled gravitationally to the Maxwell field, in accordance with a recent proposal by two of us (PM and SS), is argued to lead to an optical activity in synchrotron radiation from cosmologically distant radio sources. We suggest that this could qualitatively expl... |
1508.06755 | Gary Gibbons | G. W. Gibbons | The Jacobi-metric for timelike geodesics in static spacetimes | one reference added | null | 10.1088/0264-9381/33/2/025004 | null | gr-qc hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is shown that the free motion of massive particles moving in static
spacetimes are given by the geodesics of an energy-dependent Riemannian metric
on the spatial sections analogous to Jacobi's metric in classical dynamics. In
the massless limit Jacobi's metric coincides with the energy independent Fermat
or optica... | [
{
"created": "Thu, 27 Aug 2015 08:55:56 GMT",
"version": "v1"
},
{
"created": "Wed, 9 Sep 2015 07:35:51 GMT",
"version": "v2"
}
] | 2016-01-13 | [
[
"Gibbons",
"G. W.",
""
]
] | It is shown that the free motion of massive particles moving in static spacetimes are given by the geodesics of an energy-dependent Riemannian metric on the spatial sections analogous to Jacobi's metric in classical dynamics. In the massless limit Jacobi's metric coincides with the energy independent Fermat or optical ... |
1905.08043 | Sumanta Chakraborty | Indrani Banerjee, Sumanta Chakraborty and Soumitra SenGupta | Decoding signatures of extra dimensions and estimating spin of quasars
from the continuum spectrum | References Updated, Published Version, 32 pages, 4 figures, 1 Table | Phys. Rev. D 100, 044045 (2019) | 10.1103/PhysRevD.100.044045 | null | gr-qc astro-ph.HE hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Continuum spectrum emitted by the accretion disk around quasars hold a wealth
of information regarding the strong gravitational field produced by the massive
central object. Such strong gravity regime is often expected to exhibit
deviations from general relativity (GR) which may manifest through the presence
of extra... | [
{
"created": "Mon, 20 May 2019 12:35:24 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Aug 2019 04:51:54 GMT",
"version": "v2"
}
] | 2019-08-30 | [
[
"Banerjee",
"Indrani",
""
],
[
"Chakraborty",
"Sumanta",
""
],
[
"SenGupta",
"Soumitra",
""
]
] | Continuum spectrum emitted by the accretion disk around quasars hold a wealth of information regarding the strong gravitational field produced by the massive central object. Such strong gravity regime is often expected to exhibit deviations from general relativity (GR) which may manifest through the presence of extra d... |
2111.09457 | Vasilis Oikonomou | S. Nojiri, S.D. Odintsov, V.K. Oikonomou, Arkady A. Popov | Ghost-free $F\left( R,\mathcal{G} \right)$ Gravity | NPB Accepted | null | null | null | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we shall address the ghost issue of $F\left( R,\mathcal{G}
\right)$ gravity, which is known to be plagued with ghost degrees of freedom.
These ghosts occur due to the presence of higher than two derivatives in the
field equations, and can arise even when considering cosmological
perturbations, where supe... | [
{
"created": "Thu, 18 Nov 2021 00:22:08 GMT",
"version": "v1"
}
] | 2021-11-19 | [
[
"Nojiri",
"S.",
""
],
[
"Odintsov",
"S. D.",
""
],
[
"Oikonomou",
"V. K.",
""
],
[
"Popov",
"Arkady A.",
""
]
] | In this work we shall address the ghost issue of $F\left( R,\mathcal{G} \right)$ gravity, which is known to be plagued with ghost degrees of freedom. These ghosts occur due to the presence of higher than two derivatives in the field equations, and can arise even when considering cosmological perturbations, where superl... |
1303.1705 | Alikram Aliev | Alikram N. Aliev and Goksel Daylan Esmer | Hidden Symmetries and Geodesics of Kerr spacetime in Kaluza-Klein Theory | 25 pages, 5 figures; REVTeX | null | 10.1103/PhysRevD.87.084022 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Kerr spacetime in Kaluza-Klein theory describes a rotating black hole in
four dimensions from the Kaluza-Klein point of view and involves the signature
of an extra dimension that shows up through the appearance of the electric and
dilaton charges. In this paper, we study the separability properties of the
Hamilto... | [
{
"created": "Thu, 7 Mar 2013 14:48:14 GMT",
"version": "v1"
}
] | 2015-06-15 | [
[
"Aliev",
"Alikram N.",
""
],
[
"Esmer",
"Goksel Daylan",
""
]
] | The Kerr spacetime in Kaluza-Klein theory describes a rotating black hole in four dimensions from the Kaluza-Klein point of view and involves the signature of an extra dimension that shows up through the appearance of the electric and dilaton charges. In this paper, we study the separability properties of the Hamilton-... |
gr-qc/0605006 | Joseph Henson | Luca Bombelli, Joe Henson and Rafael D. Sorkin | Discreteness without symmetry breaking: a theorem | 7 pages, laTeX | Mod.Phys.Lett.A24:2579-2587,2009 | 10.1142/S0217732309031958 | null | gr-qc | null | This paper concerns sprinklings into Minkowski space (Poisson processes). It
proves that there exists no equivariant measurable map from sprinklings to
spacetime directions (even locally). Therefore, if a discrete structure is
associated to a sprinkling in an intrinsic manner, then the structure will not
pick out a p... | [
{
"created": "Mon, 1 May 2006 09:48:36 GMT",
"version": "v1"
}
] | 2009-11-09 | [
[
"Bombelli",
"Luca",
""
],
[
"Henson",
"Joe",
""
],
[
"Sorkin",
"Rafael D.",
""
]
] | This paper concerns sprinklings into Minkowski space (Poisson processes). It proves that there exists no equivariant measurable map from sprinklings to spacetime directions (even locally). Therefore, if a discrete structure is associated to a sprinkling in an intrinsic manner, then the structure will not pick out a pre... |
1806.10526 | Marcus Khuri | Edward T. Bryden, Marcus A. Khuri, Benjamin D. Sokolowsky | The Positive Mass Theorem with Angular Momentum and Charge for Manifolds
with Boundary | null | J. Math. Phys., 60 (2019), no. 5, 052501, 10 pp | 10.1063/1.5070080 | null | gr-qc math-ph math.DG math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by the cosmic censorship conjecture in mathematical relativity, we
establish the precise mass lower bound for an asymptotically flat Riemannian
3-manifold with nonnegative scalar curvature and minimal surface boundary, in
terms of angular momentum and charge. In particular this result does not
require the r... | [
{
"created": "Wed, 27 Jun 2018 15:15:15 GMT",
"version": "v1"
},
{
"created": "Mon, 25 Jan 2021 04:35:36 GMT",
"version": "v2"
}
] | 2021-01-26 | [
[
"Bryden",
"Edward T.",
""
],
[
"Khuri",
"Marcus A.",
""
],
[
"Sokolowsky",
"Benjamin D.",
""
]
] | Motivated by the cosmic censorship conjecture in mathematical relativity, we establish the precise mass lower bound for an asymptotically flat Riemannian 3-manifold with nonnegative scalar curvature and minimal surface boundary, in terms of angular momentum and charge. In particular this result does not require the res... |
2104.04442 | Nan Jiang | Nan Jiang and Kent Yagi | Probing modified gravitational-wave propagation through tidal
measurements of binary neutron star mergers | 14 pages, 12 figures | Phys. Rev. D 103, 124047 (2021) | 10.1103/PhysRevD.103.124047 | null | gr-qc | http://creativecommons.org/licenses/by/4.0/ | Gravitational-wave sources can serve as standard sirens to probe cosmology by
measuring their luminosity distance and redshift. Such standard sirens are also
useful to probe theories beyond general relativity with a modified
gravitational-wave propagation. Many of previous studies on the latter assume
multi-messenger... | [
{
"created": "Fri, 9 Apr 2021 15:43:22 GMT",
"version": "v1"
}
] | 2021-06-30 | [
[
"Jiang",
"Nan",
""
],
[
"Yagi",
"Kent",
""
]
] | Gravitational-wave sources can serve as standard sirens to probe cosmology by measuring their luminosity distance and redshift. Such standard sirens are also useful to probe theories beyond general relativity with a modified gravitational-wave propagation. Many of previous studies on the latter assume multi-messenger o... |
0706.0260 | Gamal Nashed G.L. | Gamal Gergess Lamee Nashed | Charged Axially Symmetric Solution and Energy in Teleparallel Theory
Equivalent to General Relativity | 15 pages, Latex | Eur.Phys.J.C49:851-857,2007 | 10.1140/epjc/s10052-006-0154-x | null | gr-qc | null | An exact charged solution with axial symmetry is obtained in the teleparallel
equivalent of general relativity (TEGR). The associated metric has the
structure function $G(\xi)=1-{\xi}^2-2mA{\xi}^3-q^2A^2{\xi}^4$. The fourth
order nature of the structure function can make calculations cumbersome. Using
a coordinate tr... | [
{
"created": "Sat, 2 Jun 2007 09:57:08 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Nashed",
"Gamal Gergess Lamee",
""
]
] | An exact charged solution with axial symmetry is obtained in the teleparallel equivalent of general relativity (TEGR). The associated metric has the structure function $G(\xi)=1-{\xi}^2-2mA{\xi}^3-q^2A^2{\xi}^4$. The fourth order nature of the structure function can make calculations cumbersome. Using a coordinate tran... |
gr-qc/0006074 | Hagen Kleinert | Hagen Kleinert, Hans-J\"urgen Schmidt | Cosmology with Curvature-Saturated Gravitational Lagrangian R/\sqrt{1 +
l^4 R^2} | Author Information under
http://www.physik.fu-berlin.de/~kleinert/institution.html . Latest update of
paper (including all PS fonts) at
http://www.physik.fu-berlin.de/~kleinert/kleiner_re311/preprint.html | Gen.Rel.Grav. 34 (2002) 1295-1318 | null | null | gr-qc | null | We argue that the Lagrangian for gravity should remain bounded at large
curvature, and interpolate between the weak-field tested Einstein-Hilbert
Lagrangian L_EH = R /16 pi G and a pure cosmological constant for large R with
the curvature-saturated ansatz L_cs=L_EH/ \sqrt{1+l^4 R^2}, where l is a length
parameter exp... | [
{
"created": "Wed, 21 Jun 2000 06:25:18 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Sep 2000 06:57:16 GMT",
"version": "v2"
}
] | 2007-05-23 | [
[
"Kleinert",
"Hagen",
""
],
[
"Schmidt",
"Hans-Jürgen",
""
]
] | We argue that the Lagrangian for gravity should remain bounded at large curvature, and interpolate between the weak-field tested Einstein-Hilbert Lagrangian L_EH = R /16 pi G and a pure cosmological constant for large R with the curvature-saturated ansatz L_cs=L_EH/ \sqrt{1+l^4 R^2}, where l is a length parameter expec... |
gr-qc/0406003 | Olivier Sarbach | Horst Beyer and Olivier Sarbach | On the well posedness of the Baumgarte-Shapiro-Shibata-Nakamura
formulation of Einstein's field equations | null | Phys.Rev.D70:104004,2004 | 10.1103/PhysRevD.70.104004 | null | gr-qc | null | We give a well posed initial value formulation of the
Baumgarte-Shapiro-Shibata-Nakamura form of Einstein's equations with gauge
conditions given by a Bona-Masso like slicing condition for the lapse and a
frozen shift. This is achieved by introducing extra variables and recasting the
evolution equations into a first ... | [
{
"created": "Tue, 1 Jun 2004 19:39:45 GMT",
"version": "v1"
}
] | 2009-01-09 | [
[
"Beyer",
"Horst",
""
],
[
"Sarbach",
"Olivier",
""
]
] | We give a well posed initial value formulation of the Baumgarte-Shapiro-Shibata-Nakamura form of Einstein's equations with gauge conditions given by a Bona-Masso like slicing condition for the lapse and a frozen shift. This is achieved by introducing extra variables and recasting the evolution equations into a first or... |
gr-qc/9410038 | Bronnikov Kirill Alexandrovich | K.A.Bronnikov and V.N.Melnikov | Vacuum Weyl Cosmologies in D Dimensions | 6 pages, LaTeX | null | null | RGS-CSVR-013/94 | gr-qc | null | Vacuum cosmological models are considered in the context of a
multidimensional theory of gravity with integrable Weyl geometry. A family of
exact solutions with a chain of internal spaces is obtained. Models with one
internal space are considered in more detail; nonsingular models are selected.
| [
{
"created": "Tue, 25 Oct 1994 12:51:03 GMT",
"version": "v1"
}
] | 2016-08-31 | [
[
"Bronnikov",
"K. A.",
""
],
[
"Melnikov",
"V. N.",
""
]
] | Vacuum cosmological models are considered in the context of a multidimensional theory of gravity with integrable Weyl geometry. A family of exact solutions with a chain of internal spaces is obtained. Models with one internal space are considered in more detail; nonsingular models are selected. |
2306.17296 | Hossein Ghaffarnejad | Hossein Ghaffarnejad and Elham Ghasemi | Thermodynamic phase transition of modified Anti-de Sitter
Reissner-Nordstr\"{o}m black holes with generalized gauge invariant
Einstein-Maxwell gravity | 44 pages, 1 table and 4 figure | null | null | null | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We generalize the Einstein Maxwell gravity by an additional term which is
made by contraction of the Ricci tensor and the electromagnetic antisymmetric
Maxwell tensor field, to study thermodynamic of a modified
Reissner-Nordstr\"{o}m (RN) black hole. Our motivation in use of this exotic
form of the gravity theory ins... | [
{
"created": "Thu, 22 Jun 2023 13:02:35 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Jan 2024 12:50:35 GMT",
"version": "v2"
}
] | 2024-01-24 | [
[
"Ghaffarnejad",
"Hossein",
""
],
[
"Ghasemi",
"Elham",
""
]
] | We generalize the Einstein Maxwell gravity by an additional term which is made by contraction of the Ricci tensor and the electromagnetic antisymmetric Maxwell tensor field, to study thermodynamic of a modified Reissner-Nordstr\"{o}m (RN) black hole. Our motivation in use of this exotic form of the gravity theory inste... |
2106.10291 | Antoine Klein | Antoine Klein | EFPE: Efficient fully precessing eccentric gravitational waveforms for
binaries with long inspirals | 18 pages, 3 tables, 4 figures | null | null | null | gr-qc astro-ph.HE | http://creativecommons.org/licenses/by/4.0/ | In this paper, we derive a set of equations of motions for binaries on
eccentric orbits undergoing spin-induced precession that can efficiently be
integrated on the radiation-reaction timescale. We find a family of solutions
with a computation cost improved by a factor $10$ - $50$ down to $\sim 10$ ms
per waveform ev... | [
{
"created": "Fri, 18 Jun 2021 18:00:04 GMT",
"version": "v1"
}
] | 2021-06-22 | [
[
"Klein",
"Antoine",
""
]
] | In this paper, we derive a set of equations of motions for binaries on eccentric orbits undergoing spin-induced precession that can efficiently be integrated on the radiation-reaction timescale. We find a family of solutions with a computation cost improved by a factor $10$ - $50$ down to $\sim 10$ ms per waveform eval... |
1708.00166 | Zhoujian Cao Dr | Zhoujian Cao and Wen-Biao Han | A waveform model for eccentric binary black hole based on
effective-one-body-numerical-relativity (EOBNR) formalism | null | PRD 96, 044028 (2017) | 10.1103/PhysRevD.96.044028 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Binary black hole systems are among the most important sources for
gravitational wave detection. And also they are good objects for theoretical
research for general relativity. Gravitational waveform template is important
to data analysis. Effective-one-body-numerical-relativity (EOBNR) model has
played an essential ... | [
{
"created": "Tue, 1 Aug 2017 05:23:50 GMT",
"version": "v1"
}
] | 2017-08-30 | [
[
"Cao",
"Zhoujian",
""
],
[
"Han",
"Wen-Biao",
""
]
] | Binary black hole systems are among the most important sources for gravitational wave detection. And also they are good objects for theoretical research for general relativity. Gravitational waveform template is important to data analysis. Effective-one-body-numerical-relativity (EOBNR) model has played an essential ro... |
1306.2549 | Eva Hackmann | Alberto Garc\'ia, Eva Hackmann, Jutta Kunz, Claus L\"ammerzahl,
Alfredo Mac\'ias | Motion of test particles in a regular black hole space--time | 23 pages, 10 Figures; revised to match published version | J.Math.Phys. 56, 032501 (2015) | 10.1063/1.4913882 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the motion of test particles in the regular black hole space-time
given by Ay\'{o}n-Beato and Garc\'{\i}a in Phys. Rev. Lett. 80:5056 (1998). The
complete set of orbits for neutral and weakly charged test particles is
discussed, including for neutral particles the extreme and over-extreme metric.
We also ... | [
{
"created": "Tue, 11 Jun 2013 15:16:12 GMT",
"version": "v1"
},
{
"created": "Fri, 5 Jul 2013 08:32:27 GMT",
"version": "v2"
},
{
"created": "Fri, 8 Nov 2013 16:50:53 GMT",
"version": "v3"
},
{
"created": "Wed, 27 May 2015 09:39:51 GMT",
"version": "v4"
}
] | 2015-05-28 | [
[
"García",
"Alberto",
""
],
[
"Hackmann",
"Eva",
""
],
[
"Kunz",
"Jutta",
""
],
[
"Lämmerzahl",
"Claus",
""
],
[
"Macías",
"Alfredo",
""
]
] | We consider the motion of test particles in the regular black hole space-time given by Ay\'{o}n-Beato and Garc\'{\i}a in Phys. Rev. Lett. 80:5056 (1998). The complete set of orbits for neutral and weakly charged test particles is discussed, including for neutral particles the extreme and over-extreme metric. We also de... |
1201.2588 | Francesco Cianfrani dr | Francesco Cianfrani, Andrea Marchini and Giovanni Montani | The picture of the Bianchi I model via gauge fixing in Loop Quantum
Gravity | 6 pages | Europhys. Lett., 99, 10003(2012) | 10.1209/0295-5075/99/10003 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The implications of the SU(2) gauge fixing associated with the choice of
invariant triads in Loop Quantum Cosmology are discussed for a Bianchi I model.
In particular, via the analysis of Dirac brackets, it is outlined how the
holonomy-flux algebra coincides with the one of Loop Quantum Gravity if paths
are parallel ... | [
{
"created": "Thu, 12 Jan 2012 15:22:23 GMT",
"version": "v1"
}
] | 2015-06-03 | [
[
"Cianfrani",
"Francesco",
""
],
[
"Marchini",
"Andrea",
""
],
[
"Montani",
"Giovanni",
""
]
] | The implications of the SU(2) gauge fixing associated with the choice of invariant triads in Loop Quantum Cosmology are discussed for a Bianchi I model. In particular, via the analysis of Dirac brackets, it is outlined how the holonomy-flux algebra coincides with the one of Loop Quantum Gravity if paths are parallel to... |
1509.02740 | Valentin Kuzmichev | V. E. Kuzmichev, V. V. Kuzmichev (Bogolyubov Institute for Theoretical
Physics) | Comparative description of the evolving universe in classical and
quantum geometrodynamics | 17 pages, v.2: Sect. 2 and 6 are revised, v.3: Sect. 2 is
supplemented, new references are added | null | null | null | gr-qc astro-ph.CO quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The description of the universe evolving in time according to general
relativity is given in comparison with the quantum description of the same
universe in terms of semiclassical wave functions. The spacetime geometry is
determined by the Robertson-Walker metric. It is shown that the main equation
of the quantum geo... | [
{
"created": "Wed, 9 Sep 2015 12:05:49 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Oct 2015 09:48:14 GMT",
"version": "v2"
},
{
"created": "Tue, 8 Dec 2015 15:29:38 GMT",
"version": "v3"
}
] | 2015-12-09 | [
[
"Kuzmichev",
"V. E.",
"",
"Bogolyubov Institute for Theoretical\n Physics"
],
[
"Kuzmichev",
"V. V.",
"",
"Bogolyubov Institute for Theoretical\n Physics"
]
] | The description of the universe evolving in time according to general relativity is given in comparison with the quantum description of the same universe in terms of semiclassical wave functions. The spacetime geometry is determined by the Robertson-Walker metric. It is shown that the main equation of the quantum geome... |
gr-qc/0304069 | Bahram Mashhoon | John C. Hauck and Bahram Mashhoon | Electromagnetic Waves in a Rotating Frame of Reference | LaTeX file, 2 PS figures, 18 pages, a few minor corrections, accepted
for publication in Annalen der Physik, in press | Annalen Phys. 12 (2003) 275-288 | 10.1002/andp.200310011 | null | gr-qc astro-ph | null | We discuss the electromagnetic measurements of rotating observers and study
the propagation of electromagnetic waves in a uniformly rotating frame of
reference. The phenomenon of helicity-rotation coupling is elucidated and some
of the observational consequences of the coupling of the spin of a particle
with the rota... | [
{
"created": "Sun, 20 Apr 2003 00:19:49 GMT",
"version": "v1"
},
{
"created": "Wed, 18 Jun 2003 00:20:31 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Hauck",
"John C.",
""
],
[
"Mashhoon",
"Bahram",
""
]
] | We discuss the electromagnetic measurements of rotating observers and study the propagation of electromagnetic waves in a uniformly rotating frame of reference. The phenomenon of helicity-rotation coupling is elucidated and some of the observational consequences of the coupling of the spin of a particle with the rotati... |
1806.07246 | Mohsen Khodadi | Mohsen Khodadi and Kourosh Nozari | Non-singular model universe from a perfect fluid scalar-metric cosmology | 19 pages, 7 figures, 2 tables, To be published in GERG | Gen.Rel.Grav. (2018) 50:88 | 10.1007/s10714-018-2405-1 | null | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | To seek for a singularity free model universe from a perfect fluid
scalar-metric cosmology, we work in the "\emph{Emergent Cosmology}" (EC)
paradigm which is a non-singular alternative for cosmological inflation. By
using two methods including Linear Stability Theory and Effective Potential
Formalism, we perform a cl... | [
{
"created": "Sat, 16 Jun 2018 07:23:41 GMT",
"version": "v1"
}
] | 2018-06-26 | [
[
"Khodadi",
"Mohsen",
""
],
[
"Nozari",
"Kourosh",
""
]
] | To seek for a singularity free model universe from a perfect fluid scalar-metric cosmology, we work in the "\emph{Emergent Cosmology}" (EC) paradigm which is a non-singular alternative for cosmological inflation. By using two methods including Linear Stability Theory and Effective Potential Formalism, we perform a clas... |
gr-qc/0610045 | Daniel Pollack | Yvonne Choquet-Bruhat, James Isenberg and Daniel Pollack | The constraint equations for the Einstein-scalar field system on compact
manifolds | Minor changes, final version. To appear: Classical and Quantum
Gravity | Class.Quant.Grav.24:809-828,2007 | 10.1088/0264-9381/24/4/004 | null | gr-qc math.AP math.DG | null | We study the constraint equations for the Einstein-scalar field system on
compact manifolds. Using the conformal method we reformulate these equations as
a determined system of nonlinear partial differential equations. By introducing
a new conformal invariant, which is sensitive to the presence of the initial
data fo... | [
{
"created": "Tue, 10 Oct 2006 14:40:37 GMT",
"version": "v1"
},
{
"created": "Mon, 11 Dec 2006 19:20:13 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Choquet-Bruhat",
"Yvonne",
""
],
[
"Isenberg",
"James",
""
],
[
"Pollack",
"Daniel",
""
]
] | We study the constraint equations for the Einstein-scalar field system on compact manifolds. Using the conformal method we reformulate these equations as a determined system of nonlinear partial differential equations. By introducing a new conformal invariant, which is sensitive to the presence of the initial data for ... |
gr-qc/0501103 | Patricio S. Letelier | D. Vogt and P.S. Letelier | New Models of General Relativistic Static Thick Disks | 27 pages, 14 figures | Phys.Rev. D71 (2005) 084030 | 10.1103/PhysRevD.71.084030 | null | gr-qc astro-ph | null | New families of exact general relativistic thick disks are constructed using
the ``displace, cut, fill and reflect'' method. A class of functions used to
``fill'' the disks is derived imposing conditions on the first and second
derivatives to generate physically acceptable disks. The analysis of the
function's curvat... | [
{
"created": "Mon, 31 Jan 2005 14:14:38 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Vogt",
"D.",
""
],
[
"Letelier",
"P. S.",
""
]
] | New families of exact general relativistic thick disks are constructed using the ``displace, cut, fill and reflect'' method. A class of functions used to ``fill'' the disks is derived imposing conditions on the first and second derivatives to generate physically acceptable disks. The analysis of the function's curvatur... |
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