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gr-qc/0104081 | Konstantina Savvidou | Ntina Savvidou | General relativity histories theory: Spacetime diffeomorphisms and the
Dirac algebra of constraints | Latex, 27 pages, added material on the `covariant' version of Poisson
brackets. We explicitly define the extended history space in which both the
Dirac algebra and the diffeomorphisms group are represented | Class.Quant.Grav.18:3611-3628,2001 | 10.1088/0264-9381/18/17/314 | Imperial/TP/0-01/15 | gr-qc hep-th math-ph math.MP quant-ph | null | We show that representations of the group of spacetime diffeomorphism and the
Dirac algebra both arise in a phase-space histories version of canonical
general relativity. This is the general-relativistic analogue of the novel time
structure introduced previously in history theory: namely, the existence in
non-relativ... | [
{
"created": "Wed, 25 Apr 2001 14:46:49 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Jun 2001 01:15:56 GMT",
"version": "v2"
}
] | 2014-11-17 | [
[
"Savvidou",
"Ntina",
""
]
] | We show that representations of the group of spacetime diffeomorphism and the Dirac algebra both arise in a phase-space histories version of canonical general relativity. This is the general-relativistic analogue of the novel time structure introduced previously in history theory: namely, the existence in non-relativis... |
1209.3308 | Claude Warnick | Gustav H. Holzegel and Claude M. Warnick | Boundedness and growth for the massive wave equation on asymptotically
anti-de Sitter black holes | 46 pages, 3 figures; V2 significant update | Journal of Functional Analysis, Volume 266, Issue 4, 15 February
2014, Pages 2436-2485 | 10.1016/j.jfa.2013.10.019 | ALBERTA THY 13-12 | gr-qc math.AP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the global dynamics of free massive scalar fields on general,
globally stationary, asymptotically AdS black hole backgrounds with Dirichlet-,
Neumann- or Robin- boundary conditions imposed on $\psi$ at infinity. This
class includes the regular Kerr-AdS black holes satisfying the Hawking Reall
bound $r_+^2 > ... | [
{
"created": "Fri, 14 Sep 2012 20:00:06 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Jul 2014 13:26:09 GMT",
"version": "v2"
}
] | 2014-07-29 | [
[
"Holzegel",
"Gustav H.",
""
],
[
"Warnick",
"Claude M.",
""
]
] | We study the global dynamics of free massive scalar fields on general, globally stationary, asymptotically AdS black hole backgrounds with Dirichlet-, Neumann- or Robin- boundary conditions imposed on $\psi$ at infinity. This class includes the regular Kerr-AdS black holes satisfying the Hawking Reall bound $r_+^2 > |a... |
1704.06784 | Abhirup Ghosh | Abhirup Ghosh, Nathan K. Johnson-McDaniel, Archisman Ghosh, Chandra
Kant Mishra, Parameswaran Ajith, Walter Del Pozzo, Christopher P. L. Berry,
Alex B. Nielsen, Lionel London | Testing general relativity using gravitational wave signals from the
inspiral, merger and ringdown of binary black holes | 23 pages, 10 figures | Classical and Quantum Gravity 35 (1), 014002, 2017 | 10.1088/1361-6382/aa972e | LIGO-P1700006, ICTS/2017/3 | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Advanced LIGO's recent observations of gravitational waves (GWs) from merging
binary black holes have opened up a unique laboratory to test general
relativity (GR) in the highly relativistic regime. One of the tests used to
establish the consistency of the first LIGO event with a binary black hole
merger predicted by... | [
{
"created": "Sat, 22 Apr 2017 11:45:25 GMT",
"version": "v1"
},
{
"created": "Fri, 13 Apr 2018 08:05:11 GMT",
"version": "v2"
}
] | 2018-04-16 | [
[
"Ghosh",
"Abhirup",
""
],
[
"Johnson-McDaniel",
"Nathan K.",
""
],
[
"Ghosh",
"Archisman",
""
],
[
"Mishra",
"Chandra Kant",
""
],
[
"Ajith",
"Parameswaran",
""
],
[
"Del Pozzo",
"Walter",
""
],
[
"Berry",
"Chr... | Advanced LIGO's recent observations of gravitational waves (GWs) from merging binary black holes have opened up a unique laboratory to test general relativity (GR) in the highly relativistic regime. One of the tests used to establish the consistency of the first LIGO event with a binary black hole merger predicted by G... |
1205.5677 | Valentin Bonzom | Valentin Bonzom and Etera R. Livine | Generating Functions for Coherent Intertwiners | 31 pages | null | 10.1088/0264-9381/30/5/055018 | pi-qg-279 | gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study generating functions for the scalar products of SU(2) coherent
intertwiners, which can be interpreted as coherent spin network evaluations on
a 2-vertex graph. We show that these generating functions are exactly summable
for different choices of combinatorial weights. Moreover, we identify one
choice of weig... | [
{
"created": "Fri, 25 May 2012 12:20:45 GMT",
"version": "v1"
}
] | 2015-06-05 | [
[
"Bonzom",
"Valentin",
""
],
[
"Livine",
"Etera R.",
""
]
] | We study generating functions for the scalar products of SU(2) coherent intertwiners, which can be interpreted as coherent spin network evaluations on a 2-vertex graph. We show that these generating functions are exactly summable for different choices of combinatorial weights. Moreover, we identify one choice of weight... |
1110.2662 | Alfonso Garc\'ia-Parrado G\'omez-Lobo Dr. | Alfonso Garc\'ia-Parrado G\'omez-Lobo and Jos\'e M. Mart\'in-Garc\'ia | Spinors: a Mathematica package for doing spinor calculus in General
Relativity | 12 pages, one figure. Typos corrected and references added. To appear
in Computer Physics Communications | null | 10.1016/j.cpc.2012.04.024 | null | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The "Spinors" software is a "Mathematica" package which implements
2-component spinor calculus as devised by Penrose for General Relativity in
dimension 3+1. The "Spinors" software is part of the "xAct" system, which is a
collection of "Mathematica" packages to do tensor analysis by computer. In this
paper we give a ... | [
{
"created": "Wed, 12 Oct 2011 13:53:13 GMT",
"version": "v1"
},
{
"created": "Mon, 7 May 2012 22:00:54 GMT",
"version": "v2"
}
] | 2015-05-30 | [
[
"Gómez-Lobo",
"Alfonso García-Parrado",
""
],
[
"Martín-García",
"José M.",
""
]
] | The "Spinors" software is a "Mathematica" package which implements 2-component spinor calculus as devised by Penrose for General Relativity in dimension 3+1. The "Spinors" software is part of the "xAct" system, which is a collection of "Mathematica" packages to do tensor analysis by computer. In this paper we give a th... |
gr-qc/0311059 | Fotini Markopoulou Kalamara | Fotini Markopoulou and Lee Smolin | Quantum Theory from Quantum Gravity | 17 pages, 2 eps figures | Phys.Rev. D70 (2004) 124029 | 10.1103/PhysRevD.70.124029 | null | gr-qc hep-th quant-ph | null | We provide a mechanism by which, from a background independent model with no
quantum mechanics, quantum theory arises in the same limit in which spatial
properties appear. Starting with an arbitrary abstract graph as the microscopic
model of spacetime, our ansatz is that the microscopic dynamics can be chosen
so that... | [
{
"created": "Tue, 18 Nov 2003 19:11:40 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Jun 2004 17:06:28 GMT",
"version": "v2"
}
] | 2009-11-10 | [
[
"Markopoulou",
"Fotini",
""
],
[
"Smolin",
"Lee",
""
]
] | We provide a mechanism by which, from a background independent model with no quantum mechanics, quantum theory arises in the same limit in which spatial properties appear. Starting with an arbitrary abstract graph as the microscopic model of spacetime, our ansatz is that the microscopic dynamics can be chosen so that 1... |
1601.03032 | Erik Curiel | Erik Curiel | A Simple Proof of the Uniqueness of the Einstein Field Equation in All
Dimensions | 7 pages. arXiv admin note: substantial text overlap with
arXiv:0908.3322 | null | null | null | gr-qc physics.hist-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The standard argument for the uniqueness of the Einstein field equation is
based on Lovelock's Theorem, the relevant statement of which is restricted to
four dimensions. I prove a theorem similar to Lovelock's, with a physically
modified assumption: that the geometric object representing curvature in the
Einstein fie... | [
{
"created": "Tue, 12 Jan 2016 20:52:45 GMT",
"version": "v1"
}
] | 2016-01-13 | [
[
"Curiel",
"Erik",
""
]
] | The standard argument for the uniqueness of the Einstein field equation is based on Lovelock's Theorem, the relevant statement of which is restricted to four dimensions. I prove a theorem similar to Lovelock's, with a physically modified assumption: that the geometric object representing curvature in the Einstein field... |
0705.2465 | Molin Liu | Molin Liu, Hongya Liu, Feng luo and Lixin Xu | The Real Solution to Scalar Field Equation in 5D Black String Space | 10 pages, 6 figures. To appear in Gen. Rel. Grav | Gen.Rel.Grav.39:1389-1402,2007 | 10.1007/s10714-007-0442-2 | null | gr-qc astro-ph hep-ph | null | After the nontrivial quantum parameters $\Omega_{n}$ and quantum potentials
$V_{n}$ obtained in our previous research, the circumstance of a real scalar
wave in the bulk is studied with the similar method of Brevik (2001). The
equation of a massless scalar field is solved numerically under the boundary
conditions nea... | [
{
"created": "Thu, 17 May 2007 01:26:50 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Liu",
"Molin",
""
],
[
"Liu",
"Hongya",
""
],
[
"luo",
"Feng",
""
],
[
"Xu",
"Lixin",
""
]
] | After the nontrivial quantum parameters $\Omega_{n}$ and quantum potentials $V_{n}$ obtained in our previous research, the circumstance of a real scalar wave in the bulk is studied with the similar method of Brevik (2001). The equation of a massless scalar field is solved numerically under the boundary conditions near ... |
2111.08033 | Adrian Hamers | Adrian S. Hamers | An improved numerical fit to the peak harmonic gravitational wave
frequency emitted by an eccentric binary | Research Notes of the American Astronomical Society (RNAAS). 3 pages,
1 figure | 2021, Research Notes of the American Astronomical Society (RNAAS),
Volume 5, Number 11 275 | 10.3847/2515-5172/ac3d98 | null | gr-qc astro-ph.HE | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | I present a numerical fit to the peak harmonic gravitational wave frequency
emitted by an eccentric binary system in the post-Newtonian approximation. This
fit significantly improves upon a previous commonly-used fit in population
synthesis studies, in particular for eccentricities $\lesssim 0.8$.
| [
{
"created": "Mon, 15 Nov 2021 19:00:15 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Nov 2021 21:35:16 GMT",
"version": "v2"
}
] | 2021-12-02 | [
[
"Hamers",
"Adrian S.",
""
]
] | I present a numerical fit to the peak harmonic gravitational wave frequency emitted by an eccentric binary system in the post-Newtonian approximation. This fit significantly improves upon a previous commonly-used fit in population synthesis studies, in particular for eccentricities $\lesssim 0.8$. |
2206.12439 | Alexandre Toubiana | Alexandre Toubiana, Stanislav Babak, Sylvain Marsat, Sergei Ossokine | Detectability and parameter estimation of GWTC-3 events with LISA | 10 pages, 11 figures | null | 10.1103/PhysRevD.106.104034 | null | gr-qc astro-ph.HE | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Multiband observations of coalescing stellar-mass black holes binaries could
deliver valuable information on the formation of those sources and potential
deviations from General Relativity. Some of these binaries might be first
detected by the space-based detector LISA and, then, several years later,
observed with gr... | [
{
"created": "Fri, 24 Jun 2022 18:02:01 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Nov 2022 16:58:44 GMT",
"version": "v2"
}
] | 2022-11-30 | [
[
"Toubiana",
"Alexandre",
""
],
[
"Babak",
"Stanislav",
""
],
[
"Marsat",
"Sylvain",
""
],
[
"Ossokine",
"Sergei",
""
]
] | Multiband observations of coalescing stellar-mass black holes binaries could deliver valuable information on the formation of those sources and potential deviations from General Relativity. Some of these binaries might be first detected by the space-based detector LISA and, then, several years later, observed with grou... |
0912.4836 | Matej Pavsic | Matej Pavsic | Towards the Unification of Gravity and other Interactions: What has been
Missed? | 11 pages; Talk presented at "First Mediterranean Conference on
Classical and Quantum Gravity", Kolymbari, Crete, Greece, 14-18 September
2009 | J.Phys.Conf.Ser.222:012017,2010 | 10.1088/1742-6596/222/1/012017 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Faced with the persisting problem of the unification of gravity with other
fundamental interactions we investigate the possibility of a new paradigm,
according to which the basic space of physics is a multidimensional space
${\cal C}$ associated with matter configurations. We consider general
relativity in ${\cal C}$... | [
{
"created": "Thu, 24 Dec 2009 11:31:10 GMT",
"version": "v1"
}
] | 2014-11-20 | [
[
"Pavsic",
"Matej",
""
]
] | Faced with the persisting problem of the unification of gravity with other fundamental interactions we investigate the possibility of a new paradigm, according to which the basic space of physics is a multidimensional space ${\cal C}$ associated with matter configurations. We consider general relativity in ${\cal C}$. ... |
1404.1207 | Qing-Yu Cai | Dongshan He, Dongfeng Gao and Qing-yu Cai | Spontaneous creation of the universe from nothing | The problem of singularity can be avoided naturally as the universe
can be spontaneously created from nothing | Phys. Rev. D 89, 083510 (2014) | 10.1103/PhysRevD.89.083510 | null | gr-qc astro-ph.CO hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An interesting idea is that the universe could be spontaneously created from
nothing, but no rigorous proof has been given. In this paper, we present such a
proof based on the analytic solutions of the Wheeler-DeWitt equation (WDWE).
Explicit solutions of the WDWE for the special operator ordering factor p=-2
(or 4) ... | [
{
"created": "Fri, 4 Apr 2014 10:09:09 GMT",
"version": "v1"
}
] | 2014-04-07 | [
[
"He",
"Dongshan",
""
],
[
"Gao",
"Dongfeng",
""
],
[
"Cai",
"Qing-yu",
""
]
] | An interesting idea is that the universe could be spontaneously created from nothing, but no rigorous proof has been given. In this paper, we present such a proof based on the analytic solutions of the Wheeler-DeWitt equation (WDWE). Explicit solutions of the WDWE for the special operator ordering factor p=-2 (or 4) sh... |
1711.09361 | Yu-Xiao Liu | Yu-Peng Zhang, Shao-Wen Wei, Wen-Di Guo, Tao-Tao Sui, Yu-Xiao Liu | Innermost stable circular orbit of spinning particle in charged spinning
black hole background | 9 pages, 9 figures | Phys. Rev. D 97, 084056 (2018) | 10.1103/PhysRevD.97.084056 | null | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we investigate the innermost stable circular orbit (ISCO) for a
classical spinning test particle in the background of Kerr-Newman black hole.
It is shown that the orbit of the spinning particle is related to the spin of
the test particle. The motion of the spinning test particle will be
superluminal if ... | [
{
"created": "Sun, 26 Nov 2017 10:07:56 GMT",
"version": "v1"
}
] | 2018-05-02 | [
[
"Zhang",
"Yu-Peng",
""
],
[
"Wei",
"Shao-Wen",
""
],
[
"Guo",
"Wen-Di",
""
],
[
"Sui",
"Tao-Tao",
""
],
[
"Liu",
"Yu-Xiao",
""
]
] | In this paper we investigate the innermost stable circular orbit (ISCO) for a classical spinning test particle in the background of Kerr-Newman black hole. It is shown that the orbit of the spinning particle is related to the spin of the test particle. The motion of the spinning test particle will be superluminal if it... |
gr-qc/0002064 | Alena Pravdova | U. von der Goenna, A. Pravdova | Symmetries of asymptotically flat axisymmetric spacetimes with null dust | 8 pages, RevTeX, accepted for publication in J. Math. Phys | J.Math.Phys. 41 (2000) 3035-3044 | null | null | gr-qc | null | Symmetries of spacetimes with null dust field as a source compatible with
asymptotic flatness are studied by using the Bondi-Sachs-van der Burg
formalism. It is shown that in an axially symmetric spacetime with null dust
field in which at least locally a smooth null infinity in the sense of Penrose
exists, the only a... | [
{
"created": "Fri, 18 Feb 2000 11:17:02 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"von der Goenna",
"U.",
""
],
[
"Pravdova",
"A.",
""
]
] | Symmetries of spacetimes with null dust field as a source compatible with asymptotic flatness are studied by using the Bondi-Sachs-van der Burg formalism. It is shown that in an axially symmetric spacetime with null dust field in which at least locally a smooth null infinity in the sense of Penrose exists, the only all... |
1802.09561 | Jeffrey Hazboun | Jeffrey S Hazboun | Constructing an Explicit AdS/CFT Correspondence with Cartan Geometry | 13 pages, 1 Table | Published in Nuclear Physics B, Volume 929, April 2018, Pages
254-265 | 10.1016/j.nuclphysb.2018.02.006 | null | gr-qc hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An explicit AdS/CFT correspondence is shown for the Lie group $SO(4,2)$. The
Lie symmetry structures allow for the construction of two physical theories
through the tools of Cartan geometry. One is a gravitational theory that has
anti-de Sitter symmetry. The other is also a gravitational theory but is
conformally sym... | [
{
"created": "Mon, 26 Feb 2018 19:10:18 GMT",
"version": "v1"
}
] | 2018-02-28 | [
[
"Hazboun",
"Jeffrey S",
""
]
] | An explicit AdS/CFT correspondence is shown for the Lie group $SO(4,2)$. The Lie symmetry structures allow for the construction of two physical theories through the tools of Cartan geometry. One is a gravitational theory that has anti-de Sitter symmetry. The other is also a gravitational theory but is conformally symme... |
2305.02095 | Bayram Tekin | Metin Gurses, Tahsin Cagri Sisman, Bayram Tekin | Israel-Wilson-Perjes Metrics in a Theory with a Dilaton Field | 10 pages, 1 figure, slightly improved version to appear in Phys. Rev.
D | null | 10.1103/PhysRevD.108.024060 | null | gr-qc hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We are interested in the charged dust solutions of the Einstein field
equations in stationary and axially symmetric spacetimes; and inquire if the
naked singularities of the Israel-Wilson-Perjes (IWP) metrics can be removed.
The answer is negative in four dimensions. We examine whether this negative
result can be avo... | [
{
"created": "Wed, 3 May 2023 13:01:20 GMT",
"version": "v1"
},
{
"created": "Thu, 13 Jul 2023 06:38:47 GMT",
"version": "v2"
}
] | 2023-08-09 | [
[
"Gurses",
"Metin",
""
],
[
"Sisman",
"Tahsin Cagri",
""
],
[
"Tekin",
"Bayram",
""
]
] | We are interested in the charged dust solutions of the Einstein field equations in stationary and axially symmetric spacetimes; and inquire if the naked singularities of the Israel-Wilson-Perjes (IWP) metrics can be removed. The answer is negative in four dimensions. We examine whether this negative result can be avoid... |
gr-qc/0309051 | Sawa Manoff | Sawa Manoff | Centrifugal (centripetal) and Coriolis velocities and accelerations in
spaces with affine connections and metrics as models of space-time | 26 pages, LaTeX, to appear in Central European Journal of Physics | Central Europear Journal of Physics (CEJP) 4 (2003) 669-694 | 10.2478/BF02475910 | null | gr-qc | null | The notions of centrifugal (centripetal) and Coriolis velocities and
accelerations are introduced and considered in spaces with affine connections
and metrics used as models of space or of space-time. It is shown that these
types of velocities and accelerations are generated by the relative motions
between mass eleme... | [
{
"created": "Tue, 9 Sep 2003 12:26:46 GMT",
"version": "v1"
}
] | 2018-02-14 | [
[
"Manoff",
"Sawa",
""
]
] | The notions of centrifugal (centripetal) and Coriolis velocities and accelerations are introduced and considered in spaces with affine connections and metrics used as models of space or of space-time. It is shown that these types of velocities and accelerations are generated by the relative motions between mass element... |
0901.2405 | Michael Maziashvili | Michael Maziashvili | Light incoherence due to quantum-gravitational fluctuations of the
background space | 5 pages; Version to appear in Astroparticle Physics | Astropart.Phys.31:344-347,2009 | 10.1016/j.astropartphys.2009.03.005 | null | gr-qc astro-ph.CO hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Based on the theory of mutual coherence of light from an extended incoherent
quasi-monochromatic source (providing a basis of stellar interferometry) we
estimate the degree of light incoherence due to quantum-gravitational
fluctuations of the background metric. It is shown that the stellar
interferometry observationa... | [
{
"created": "Fri, 16 Jan 2009 06:39:26 GMT",
"version": "v1"
},
{
"created": "Wed, 6 May 2009 11:52:58 GMT",
"version": "v2"
}
] | 2010-04-14 | [
[
"Maziashvili",
"Michael",
""
]
] | Based on the theory of mutual coherence of light from an extended incoherent quasi-monochromatic source (providing a basis of stellar interferometry) we estimate the degree of light incoherence due to quantum-gravitational fluctuations of the background metric. It is shown that the stellar interferometry observational ... |
1409.1000 | Julija Bagdonaite | Julija Bagdonaite (1), Edcel J. Salumbides (1,2), Simon P. Preval (3),
Martin A. Barstow (3), John D. Barrow (4), Michael T. Murphy (5), Wim Ubachs
(1) ((1) VU University Amsterdam, Netherlands (2) University of San Carlos,
Philippines (3) University of Leicester, UK (4) DAMTP, UK (5) Swinburne
University of Te... | Limits on a Gravitational Field Dependence of the Proton--Electron Mass
Ratio from H$_2$ in White Dwarf Stars | 5 pages, 3 figures. Accepted by PRL | Phys. Rev. Lett. 113, 123002 (2014) | 10.1103/PhysRevLett.113.123002 | null | gr-qc astro-ph.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Spectra of molecular hydrogen (H$_2$) are employed to search for a possible
proton-to-electron mass ratio ($\mu$) dependence on gravity. The Lyman
transitions of H$_2$, observed with the Hubble Space Telescope towards white
dwarf stars that underwent a gravitational collapse, are compared to accurate
laboratory spect... | [
{
"created": "Wed, 3 Sep 2014 09:06:02 GMT",
"version": "v1"
}
] | 2014-10-02 | [
[
"Bagdonaite",
"Julija",
""
],
[
"Salumbides",
"Edcel J.",
""
],
[
"Preval",
"Simon P.",
""
],
[
"Barstow",
"Martin A.",
""
],
[
"Barrow",
"John D.",
""
],
[
"Murphy",
"Michael T.",
""
],
[
"Ubachs",
"Wim",
... | Spectra of molecular hydrogen (H$_2$) are employed to search for a possible proton-to-electron mass ratio ($\mu$) dependence on gravity. The Lyman transitions of H$_2$, observed with the Hubble Space Telescope towards white dwarf stars that underwent a gravitational collapse, are compared to accurate laboratory spectra... |
gr-qc/0102060 | Klaus Buchner | K. Buchner | 1/r - Potential Without Charge | 14 pages, 1 figure | J.Math.Phys. 43 (2002) 4839-4848 | 10.1063/1.1362285 | null | gr-qc | null | In order to get geodesically complete Reissner - Nordstroem space - times, it
is necessary to identify pairs of singular points. This can be done in such a
way that "wormholes" are created which generate electric field lines without
any charge. Finally, it is shown that it is possible to glue these space -
times not ... | [
{
"created": "Tue, 13 Feb 2001 13:35:14 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Buchner",
"K.",
""
]
] | In order to get geodesically complete Reissner - Nordstroem space - times, it is necessary to identify pairs of singular points. This can be done in such a way that "wormholes" are created which generate electric field lines without any charge. Finally, it is shown that it is possible to glue these space - times not in... |
gr-qc/9812023 | Filipe de Moraes Paiva | L. Herrera, Filipe M. Paiva, N. O. Santos | Geodesics in the Gamma spacetime | LaTeX, 19 pages, 3 eps figures | Int.J.Mod.Phys. D9 (2000) 649-660 | 10.1142/S021827180000061X | null | gr-qc | null | Circular and radial geodesics are studied in the spacetime described by the
$\gamma$ metric. Their behaviour is compared with the spherically symmetric
situation, bringing out the sensitivity of the trajectories to deviations from
spherical symmetry.
| [
{
"created": "Mon, 7 Dec 1998 10:54:50 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Herrera",
"L.",
""
],
[
"Paiva",
"Filipe M.",
""
],
[
"Santos",
"N. O.",
""
]
] | Circular and radial geodesics are studied in the spacetime described by the $\gamma$ metric. Their behaviour is compared with the spherically symmetric situation, bringing out the sensitivity of the trajectories to deviations from spherical symmetry. |
gr-qc/0504122 | Thomas Sotiriou | Thomas P. Sotiriou and Giorgos Pappas | Extending Sibgatullin's ansatz for the Ernst potential to generate a
richer family of axially symmetric solutions of Einstein's equations | Talk given in the 11th Conference on Recent Developments in Gravity,
2-5 June 2004, Lesbos, Greece | J.Phys.Conf.Ser. 8 (2005) 23-27 | 10.1088/1742-6596/8/1/003 | null | gr-qc | null | The scope of this talk is to present some preliminary results on an effort,
currently in progress, to generate an exact solution of Einstein's equation,
suitable for describing spacetime around a rotating compact object.
Specifically, the form of the Ernst potential on the symmetry axis and its
connection with the mu... | [
{
"created": "Mon, 25 Apr 2005 12:51:51 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Sotiriou",
"Thomas P.",
""
],
[
"Pappas",
"Giorgos",
""
]
] | The scope of this talk is to present some preliminary results on an effort, currently in progress, to generate an exact solution of Einstein's equation, suitable for describing spacetime around a rotating compact object. Specifically, the form of the Ernst potential on the symmetry axis and its connection with the mult... |
0803.0226 | Jan Harms | Jan Harms, Christoph Mahrdt, Markus Otto, Malte Priess | Subtraction-noise projection in gravitational-wave detector networks | 54 pages, 15 figures | Phys.Rev.D77:123010,2008 | 10.1103/PhysRevD.77.123010 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we present a successful implementation of a subtraction-noise
projection method into a simple, simulated data analysis pipeline of a
gravitational-wave search. We investigate the problem to reveal a weak
stochastic background signal which is covered by a strong foreground of
compact-binary coalescences... | [
{
"created": "Mon, 3 Mar 2008 12:47:43 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Jul 2008 15:12:38 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Harms",
"Jan",
""
],
[
"Mahrdt",
"Christoph",
""
],
[
"Otto",
"Markus",
""
],
[
"Priess",
"Malte",
""
]
] | In this paper, we present a successful implementation of a subtraction-noise projection method into a simple, simulated data analysis pipeline of a gravitational-wave search. We investigate the problem to reveal a weak stochastic background signal which is covered by a strong foreground of compact-binary coalescences. ... |
gr-qc/9704030 | Hyeong-Chan Kim | Hyeong-Chan Kim and Jae-Kwan Kim | Radiation from a uniformly accelerating harmonic oscillator | 26 pages, 1 eps figure, RevTeX, minor correction in grammar, add a
discussion | Phys.Rev. D56 (1997) 3537-3547 | 10.1103/PhysRevD.56.3537 | null | gr-qc | null | We consider a radiation from a uniformly accelerating harmonic oscillator
whose minimal coupling to the scalar field changes suddenly. The exact time
evolutions of the quantum operators are given in terms of a classical solution
of a forced harmonic oscillator. After the jumping of the coupling constant
there occurs ... | [
{
"created": "Fri, 11 Apr 1997 06:13:14 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Apr 1997 09:21:01 GMT",
"version": "v2"
}
] | 2009-10-30 | [
[
"Kim",
"Hyeong-Chan",
""
],
[
"Kim",
"Jae-Kwan",
""
]
] | We consider a radiation from a uniformly accelerating harmonic oscillator whose minimal coupling to the scalar field changes suddenly. The exact time evolutions of the quantum operators are given in terms of a classical solution of a forced harmonic oscillator. After the jumping of the coupling constant there occurs a ... |
gr-qc/0404057 | Leonardo Fernandez-Jambrina | L. Fernandez-Jambrina, C.A. Hoenselaers | High Order Relativistic Corrections To Keplerian Motion | 23 pages, LaTeX2e | J.Math.Phys. 42 (2001) 839-855 | 10.1063/1.1335556 | null | gr-qc | null | The first terms of the general solution for an asymptotically flat stationary
axisymmetric vacuum spacetime endowed with an equatorial symmetry plane are
calculated from the corresponding Ernst potential up to seventh order in the
radial pseudospherical coordinate. The metric is used to determine the
influence of hig... | [
{
"created": "Tue, 13 Apr 2004 08:54:07 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Fernandez-Jambrina",
"L.",
""
],
[
"Hoenselaers",
"C. A.",
""
]
] | The first terms of the general solution for an asymptotically flat stationary axisymmetric vacuum spacetime endowed with an equatorial symmetry plane are calculated from the corresponding Ernst potential up to seventh order in the radial pseudospherical coordinate. The metric is used to determine the influence of high ... |
1306.0932 | Shao-Jun Zhang | Shao-Jun Zhang, Bin Wang, Elcio Abdalla | Superradiant instability of extremal brane-world Reissner-Nordstr\"{o}m
black holes to charged scalar perturbations | 10 pages, no figure | null | null | null | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine the stability of extremal braneworld Reissner-Nordstr\"{o}m black
holes under massive charged scalar perturbations. We show that similar to the
four-dimensional case, the superradiant amplification can occur in braneworld
charged holes. More interestingly we find that when the spacetime dimension is
higher... | [
{
"created": "Tue, 4 Jun 2013 21:58:35 GMT",
"version": "v1"
}
] | 2013-06-06 | [
[
"Zhang",
"Shao-Jun",
""
],
[
"Wang",
"Bin",
""
],
[
"Abdalla",
"Elcio",
""
]
] | We examine the stability of extremal braneworld Reissner-Nordstr\"{o}m black holes under massive charged scalar perturbations. We show that similar to the four-dimensional case, the superradiant amplification can occur in braneworld charged holes. More interestingly we find that when the spacetime dimension is higher t... |
1803.03134 | Omar Nemoul | Omar Nemoul and Noureddine Mebarki | A Curvature Operator for a Regular Tetrahedron Shape in LQG | 16 pages, 8 figures, 1 table | IJGMMP, Vol. 16, No. 06, 1950095 (2019) | 10.1142/S0219887819500956 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An alternative approach introducing a 3 dimensional Ricci scalar curvature
quantum operator given in terms of volume and area as well as new edge length
operators is proposed. An example of monochromatic 4-valent node intertwiner
state (equilateral tetrahedra) is studied and the scalar curvature measure for
a regular... | [
{
"created": "Wed, 7 Mar 2018 14:29:57 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Mar 2018 03:40:12 GMT",
"version": "v2"
},
{
"created": "Sat, 31 Mar 2018 17:05:46 GMT",
"version": "v3"
},
{
"created": "Sun, 8 Apr 2018 21:44:11 GMT",
"version": "v4"
},
{
"crea... | 2019-07-03 | [
[
"Nemoul",
"Omar",
""
],
[
"Mebarki",
"Noureddine",
""
]
] | An alternative approach introducing a 3 dimensional Ricci scalar curvature quantum operator given in terms of volume and area as well as new edge length operators is proposed. An example of monochromatic 4-valent node intertwiner state (equilateral tetrahedra) is studied and the scalar curvature measure for a regular t... |
2007.13658 | Hamed Masaood | Hamed Masaood | A Scattering Theory for Linearised Gravity on the Exterior of the
Schwarzschild Black Hole I: The Teukolsky Equations | 83 pages, 4 figures | null | 10.1007/s00220-022-04372-3 | null | gr-qc math-ph math.AP math.DG math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a scattering theory for the spin $\pm2$ Teukolsky equations on
the exterior of the Schwarzschild spacetime, as a first step towards developing
a scattering theory for the linearised Einstein equations in double null gauge.
This is done by exploiting a physical-space version of the Chandrasekhar
transform... | [
{
"created": "Mon, 27 Jul 2020 16:13:15 GMT",
"version": "v1"
}
] | 2022-11-28 | [
[
"Masaood",
"Hamed",
""
]
] | We construct a scattering theory for the spin $\pm2$ Teukolsky equations on the exterior of the Schwarzschild spacetime, as a first step towards developing a scattering theory for the linearised Einstein equations in double null gauge. This is done by exploiting a physical-space version of the Chandrasekhar transformat... |
2112.02098 | Gabriele Gionti S.J. | Matteo Galaverni and Gabriele Gionti, S.J. | Jordan and Einstein frames Hamiltonian analysis for FLRW Brans-Dicke
theory | "The Quantum & The Gravity" conference proceedings, minors changes
added, matches published version in Universe | null | null | null | gr-qc astro-ph.CO hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze Hamiltonian equivalence between Jordan and Einstein frames
considering a mini-superspace model of flat Friedmann-Lemaitre-Robertson-Walker
(FLRW) Universe in Brans-Dicke theory. Hamiltonian equations of motion are
derived in the Jordan, Einstein, and in the anti-gravity (or anti-Newtonian)
frames. We show ... | [
{
"created": "Thu, 2 Dec 2021 21:23:45 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Feb 2022 10:17:39 GMT",
"version": "v2"
}
] | 2023-06-02 | [
[
"Galaverni",
"Matteo",
""
],
[
"Gionti",
"Gabriele",
""
],
[
"J.",
"S.",
""
]
] | We analyze Hamiltonian equivalence between Jordan and Einstein frames considering a mini-superspace model of flat Friedmann-Lemaitre-Robertson-Walker (FLRW) Universe in Brans-Dicke theory. Hamiltonian equations of motion are derived in the Jordan, Einstein, and in the anti-gravity (or anti-Newtonian) frames. We show th... |
1011.5196 | Rafael Ferraro | Rafael Ferraro, Franco Fiorini | The regular cosmic string in Born-Infeld gravity | 4 pages, submitted to Proceedings of Spanish Relativity Meeting 2010
(ERE2010, Granada, Spain) | J.Phys.Conf.Ser.314:012114,2011 | 10.1088/1742-6596/314/1/012114 | null | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is shown that Born-Infeld gravity --a high energy deformation of Einstein
gravity-- removes the singularities of a cosmic string. The respective vacuum
solution results to be free of conical singularity and closed timelike curves.
The space ends at a minimal circle where the curvature invariants vanish; but
this c... | [
{
"created": "Tue, 23 Nov 2010 19:08:26 GMT",
"version": "v1"
}
] | 2011-09-30 | [
[
"Ferraro",
"Rafael",
""
],
[
"Fiorini",
"Franco",
""
]
] | It is shown that Born-Infeld gravity --a high energy deformation of Einstein gravity-- removes the singularities of a cosmic string. The respective vacuum solution results to be free of conical singularity and closed timelike curves. The space ends at a minimal circle where the curvature invariants vanish; but this cir... |
gr-qc/9411038 | null | Roumen Borissov | Regularization of the Hamiltonian constraint and the closure of the
constraint algebra | 23 pages, epsfig.sty | Phys.Rev. D55 (1997) 2059-2068 | 10.1103/PhysRevD.55.2059 | TU-94-11 | gr-qc | null | In the paper we discuss the process of regularization of the Hamiltonian
constraint in the Ashtekar approach to quantizing gravity. We show in detail
the calculation of the action of the regulated Hamiltonian constraint on Wilson
loops. An important issue considered in the paper is the closure of the
constraint algeb... | [
{
"created": "Tue, 15 Nov 1994 03:27:41 GMT",
"version": "v1"
}
] | 2009-10-22 | [
[
"Borissov",
"Roumen",
""
]
] | In the paper we discuss the process of regularization of the Hamiltonian constraint in the Ashtekar approach to quantizing gravity. We show in detail the calculation of the action of the regulated Hamiltonian constraint on Wilson loops. An important issue considered in the paper is the closure of the constraint algebra... |
1607.06049 | Mahmood Roshan | Mahmood Roshan and Fatimah Shojai | Energy-Momentum Squared Gravity | null | Physical Review D 94, 044002 (2016) | 10.1103/PhysRevD.94.044002 | null | gr-qc astro-ph.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A new covariant generalization of Einstein's general relativity is developed
which allows the existence of a term proportional to
$T_{\alpha\beta}T^{\alpha\beta}$ in the action functional of the theory
($T_{\alpha\beta}$ is the energy-momentum tensor). Consequently the relevant
field equations are different from gene... | [
{
"created": "Wed, 20 Jul 2016 18:14:25 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Aug 2016 12:07:15 GMT",
"version": "v2"
}
] | 2016-08-04 | [
[
"Roshan",
"Mahmood",
""
],
[
"Shojai",
"Fatimah",
""
]
] | A new covariant generalization of Einstein's general relativity is developed which allows the existence of a term proportional to $T_{\alpha\beta}T^{\alpha\beta}$ in the action functional of the theory ($T_{\alpha\beta}$ is the energy-momentum tensor). Consequently the relevant field equations are different from genera... |
1012.0986 | Irina Radinschi | I. Radinschi, F. Rahaman, A. Banerjee | On the energy of Ho\v{r}ava-Lifshitz black holes | LaTex, 14 pages | Int. J. Theor. Phys., 50(9), 2906-2916, (2011) | 10.1007/s10773-011-0791-1 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we calculate the energy distribution of the Mu-in Park,
Kehagias-Sfetsos (KS) and L\"u, Mei and Pope (LMP) black holes in the
Ho\v{r}ava-Lifshitz theory of gravity. These black hole solutions correspond to
the standard Einstein-Hilbert action in the infrared limit. For our
calculations we use the Einste... | [
{
"created": "Sun, 5 Dec 2010 10:35:42 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Feb 2011 13:18:38 GMT",
"version": "v2"
}
] | 2015-05-20 | [
[
"Radinschi",
"I.",
""
],
[
"Rahaman",
"F.",
""
],
[
"Banerjee",
"A.",
""
]
] | In this paper we calculate the energy distribution of the Mu-in Park, Kehagias-Sfetsos (KS) and L\"u, Mei and Pope (LMP) black holes in the Ho\v{r}ava-Lifshitz theory of gravity. These black hole solutions correspond to the standard Einstein-Hilbert action in the infrared limit. For our calculations we use the Einstein... |
1812.03340 | H\'ector Ariel Ram\'irez Rodr\'iguez | Lavinia Heisenberg, H\'ector Ram\'irez, Shinji Tsujikawa | Inflation with mixed helicities and its observational imprint on CMB | 13 pages, 2 figures. Version to be published in Physical Review D | Phys. Rev. D 99, 023505 (2019) | 10.1103/PhysRevD.99.023505 | null | gr-qc astro-ph.CO hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the framework of effective field theories with prominent helicity-0 and
helicity-1 fields coupled to each other via a dimension-3 operator, we study
the dynamics of inflation driven by the helicity-0 mode, with a given potential
energy, as well as the evolution of cosmological perturbations, influenced by
the pres... | [
{
"created": "Sat, 8 Dec 2018 15:34:22 GMT",
"version": "v1"
}
] | 2019-01-09 | [
[
"Heisenberg",
"Lavinia",
""
],
[
"Ramírez",
"Héctor",
""
],
[
"Tsujikawa",
"Shinji",
""
]
] | In the framework of effective field theories with prominent helicity-0 and helicity-1 fields coupled to each other via a dimension-3 operator, we study the dynamics of inflation driven by the helicity-0 mode, with a given potential energy, as well as the evolution of cosmological perturbations, influenced by the presen... |
1804.08670 | Ana Avilez-Lopez | F.S. Guzman and Ana Avilez-Lopez | Head-on collision of multi-state ultralight BEC dark matter
configurations | published in PRD | Phys. Rev. D 97, 116003 (2018) | 10.1103/PhysRevD.97.116003 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Density profiles of ultralight Bose-Condensate dark matter inferred from
numerical simulations of structure formation, ruled by the
Gross-Pitaevskii-Poisson (GPP) system of equations, have a core-tail structure.
Multi-state equilibrium configurations of the GPP system on the other hand,
have a similar core-tail densi... | [
{
"created": "Mon, 23 Apr 2018 18:59:27 GMT",
"version": "v1"
},
{
"created": "Mon, 10 Sep 2018 21:29:23 GMT",
"version": "v2"
}
] | 2018-09-12 | [
[
"Guzman",
"F. S.",
""
],
[
"Avilez-Lopez",
"Ana",
""
]
] | Density profiles of ultralight Bose-Condensate dark matter inferred from numerical simulations of structure formation, ruled by the Gross-Pitaevskii-Poisson (GPP) system of equations, have a core-tail structure. Multi-state equilibrium configurations of the GPP system on the other hand, have a similar core-tail density... |
1912.12206 | Murli Manohar Verma Dr. | Vipin Kumar Sharma, Bal Krishna Yadav and Murli Manohar Verma | Extended galactic rotational velocity profiles in $f(R)$ gravity
background | 7 pages, 5 figures | European Physical Journal C, 80:619 (2020) | 10.1140/epjc/s10052-020-8186-1 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An attempt has been made to explore the galactic dynamics via the rotational
velocity beyond the Einstein's geometric theory of gravity. It is inspired from
the geometric relation obtained in the power law $f(R)$ gravity model in
vacuum. We analyse the action with a small positive deviation from the
Einstein-Hilbert ... | [
{
"created": "Tue, 24 Dec 2019 08:03:41 GMT",
"version": "v1"
}
] | 2020-07-20 | [
[
"Sharma",
"Vipin Kumar",
""
],
[
"Yadav",
"Bal Krishna",
""
],
[
"Verma",
"Murli Manohar",
""
]
] | An attempt has been made to explore the galactic dynamics via the rotational velocity beyond the Einstein's geometric theory of gravity. It is inspired from the geometric relation obtained in the power law $f(R)$ gravity model in vacuum. We analyse the action with a small positive deviation from the Einstein-Hilbert ac... |
2304.06614 | Ekrem Aydiner Dr | E. Aydiner | Chaotic interactions between dark matter and dark energy | The manuscript was revised | null | null | null | gr-qc nlin.CD | http://creativecommons.org/licenses/by/4.0/ | In this study, we consider dark matter and dark energy as grand-canonical
systems which are open, non-equilibrium coupled, and interacting systems. For
the first time, we propose a new more realistic interaction scheme to explain
dynamics between coupled interacting thermodynamic systems. Based on this new
interactio... | [
{
"created": "Thu, 13 Apr 2023 15:28:42 GMT",
"version": "v1"
},
{
"created": "Sun, 14 May 2023 15:44:07 GMT",
"version": "v2"
},
{
"created": "Thu, 23 Nov 2023 17:43:59 GMT",
"version": "v3"
},
{
"created": "Thu, 28 Mar 2024 18:20:09 GMT",
"version": "v4"
},
{
"c... | 2024-06-27 | [
[
"Aydiner",
"E.",
""
]
] | In this study, we consider dark matter and dark energy as grand-canonical systems which are open, non-equilibrium coupled, and interacting systems. For the first time, we propose a new more realistic interaction scheme to explain dynamics between coupled interacting thermodynamic systems. Based on this new interaction ... |
1901.05819 | Alessio Belenchia | Alessio Belenchia, Dionigi M.T. Benincasa, Francesco Marin, Francesco
Marino, Antonello Ortolan, Mauro Paternostro and Stefano Liberati | Tests of Quantum Gravity-Induced Non-Locality: Hamiltonian formulation
of a non-local harmonic oscillator | 7+3 pages, 2 figures. This version matches the published one | Class. Quantum Grav.36 155006 (2019) | 10.1088/1361-6382/ab2c0a | null | gr-qc hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Motivated by the development of on-going optomechanical experiments aimed at
constraining non-local effects inspired by some quantum gravity scenarios, the
Hamiltonian formulation of a non-local harmonic oscillator, and its coupling to
a cavity field mode(s), is investigated. In particular, we consider the
previously... | [
{
"created": "Thu, 17 Jan 2019 14:46:43 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Jul 2019 15:28:37 GMT",
"version": "v2"
}
] | 2019-07-18 | [
[
"Belenchia",
"Alessio",
""
],
[
"Benincasa",
"Dionigi M. T.",
""
],
[
"Marin",
"Francesco",
""
],
[
"Marino",
"Francesco",
""
],
[
"Ortolan",
"Antonello",
""
],
[
"Paternostro",
"Mauro",
""
],
[
"Liberati",
"St... | Motivated by the development of on-going optomechanical experiments aimed at constraining non-local effects inspired by some quantum gravity scenarios, the Hamiltonian formulation of a non-local harmonic oscillator, and its coupling to a cavity field mode(s), is investigated. In particular, we consider the previously s... |
1910.12152 | Miko{\l}aj Korzy\'nski | Lars Andersson, Miko{\l}aj Korzy\'nski | Variational principle for the Einstein-Vlasov equations | 24 pages, 1 figure | null | null | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Einstein-Vlasov equations govern Einstein spacetimes filled with matter
which interacts only via gravitation. The matter, described by a distribution
function on phase space, evolves under the collisionless Boltzmann equation,
corresponding to the free geodesic motion of the particles, while the source of
the gra... | [
{
"created": "Sat, 26 Oct 2019 22:27:25 GMT",
"version": "v1"
}
] | 2019-10-29 | [
[
"Andersson",
"Lars",
""
],
[
"Korzyński",
"Mikołaj",
""
]
] | The Einstein-Vlasov equations govern Einstein spacetimes filled with matter which interacts only via gravitation. The matter, described by a distribution function on phase space, evolves under the collisionless Boltzmann equation, corresponding to the free geodesic motion of the particles, while the source of the gravi... |
2106.01530 | Francesco Di Filippo | Ra\'ul Carballo-Rubio, Francesco Di Filippo, Stefano Liberati | Hearts of Darkness: the inside out probing of black holes | 7 pages, 2 figure,Awarded an Honorable Mention in the 2021 Gravity
Research Foundation Essays Competition | null | 10.1142/S0218271821420244 | YITP-21-46 | gr-qc | http://creativecommons.org/licenses/by/4.0/ | Classical black holes shield us from the singularities that inevitably appear
in general relativity. Being singularity regularization one of the main
landmarks for a successful theory of quantum gravity, quantum black holes are
not obliged to hide their inner core from the outside world. Notwithstanding
the aforesaid... | [
{
"created": "Thu, 3 Jun 2021 01:23:15 GMT",
"version": "v1"
}
] | 2022-01-26 | [
[
"Carballo-Rubio",
"Raúl",
""
],
[
"Di Filippo",
"Francesco",
""
],
[
"Liberati",
"Stefano",
""
]
] | Classical black holes shield us from the singularities that inevitably appear in general relativity. Being singularity regularization one of the main landmarks for a successful theory of quantum gravity, quantum black holes are not obliged to hide their inner core from the outside world. Notwithstanding the aforesaid, ... |
1410.1706 | Euro Spallucci | Euro Spallucci and Anais Smailagic | Semi-classical approach to quantum black holes | 27 pages, 9 figures. This is the draft of an invited contribution to
the book "Advances in black hole researches", Nova Science Publisher, (2015) | "Advances in black holes research'' p.1-26, Ed.: A. Barton, Nova
Science Publisher, Inc. (2015), ISBN: 978-1-63463-168-6 | null | null | gr-qc hep-ph hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this Chapter we would like to review a "~phenomenological~" approach
taking into account the most fundamental feature of string theory or, more in
general, of quantum gravity, whatever its origin, which is the existence of a
minimal length in the space-time fabric. This length is generally identified
with the Plan... | [
{
"created": "Tue, 7 Oct 2014 12:48:50 GMT",
"version": "v1"
}
] | 2017-05-26 | [
[
"Spallucci",
"Euro",
""
],
[
"Smailagic",
"Anais",
""
]
] | In this Chapter we would like to review a "~phenomenological~" approach taking into account the most fundamental feature of string theory or, more in general, of quantum gravity, whatever its origin, which is the existence of a minimal length in the space-time fabric. This length is generally identified with the Planck... |
gr-qc/9805013 | Soh Kwang Sup | Dongsu Bak, Sang Pyo Kim, Sung Ku Kim, Kwang-Sup Soh, Jae Hyung Yee | Quantum Inflaton Dynamics | 8 pages, revTeX, no figures | Phys.Rev. D59 (1999) 027301 | 10.1103/PhysRevD.59.027301 | null | gr-qc hep-th | null | We show that the quantum dynamics of a real scalar field for a large class of
potentials in the symmetric Gaussian state, where the nonperturbative quantum
contributions are taken into account, can be described equivalently by a
two-dimensional nonlinear dynamical system with a definite angular momentum
(U(1) charge ... | [
{
"created": "Wed, 6 May 1998 06:21:35 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Bak",
"Dongsu",
""
],
[
"Kim",
"Sang Pyo",
""
],
[
"Kim",
"Sung Ku",
""
],
[
"Soh",
"Kwang-Sup",
""
],
[
"Yee",
"Jae Hyung",
""
]
] | We show that the quantum dynamics of a real scalar field for a large class of potentials in the symmetric Gaussian state, where the nonperturbative quantum contributions are taken into account, can be described equivalently by a two-dimensional nonlinear dynamical system with a definite angular momentum (U(1) charge of... |
gr-qc/9503049 | Juan Bellido | Juan Garcia-Bellido and David Wands | General Relativity as an Attractor in Scalar-Tensor Stochastic Inflation | LaTeX (with RevTex) 11 pages, 2 uuencoded figures appended, also
available on WWW via http://star.maps.susx.ac.uk/index.html | Phys.Rev.D52:5636-5642,1995 | 10.1103/PhysRevD.52.5636 | SUSSEX-AST-95/3-1, IEM-FT-104/95 | gr-qc astro-ph hep-th | null | Quantum fluctuations of scalar fields during inflation could determine the
very large-scale structure of the universe. In the case of general
scalar-tensor gravity theories these fluctuations lead to the diffusion of
fundamental constants like the Planck mass and the effective Brans--Dicke
parameter, $\omega$. In the... | [
{
"created": "Mon, 27 Mar 1995 09:43:34 GMT",
"version": "v1"
}
] | 2010-11-01 | [
[
"Garcia-Bellido",
"Juan",
""
],
[
"Wands",
"David",
""
]
] | Quantum fluctuations of scalar fields during inflation could determine the very large-scale structure of the universe. In the case of general scalar-tensor gravity theories these fluctuations lead to the diffusion of fundamental constants like the Planck mass and the effective Brans--Dicke parameter, $\omega$. In the p... |
0903.0501 | Ibrar Hussain | Ibrar Hussain, F. M. Mahomed and Asghar Qadir | A Proposal for Determining the Energy Content of Gravitational Waves by
Using Approximate Symmetries of Differential Equations | 26 pages, 6 figures | Phys.Rev.D79:125014,2009 | 10.1103/PhysRevD.79.125014 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Since gravitational wave spacetimes are time-varying vacuum solutions of
Einstein's field equations, there is no unambiguous means to define their
energy content. However, Weber and Wheeler had demonstrated that they do impart
energy to test particles. There have been various proposals to define the
energy content bu... | [
{
"created": "Tue, 3 Mar 2009 11:41:41 GMT",
"version": "v1"
},
{
"created": "Mon, 9 Mar 2009 17:58:17 GMT",
"version": "v2"
},
{
"created": "Wed, 11 Mar 2009 14:39:44 GMT",
"version": "v3"
}
] | 2010-03-12 | [
[
"Hussain",
"Ibrar",
""
],
[
"Mahomed",
"F. M.",
""
],
[
"Qadir",
"Asghar",
""
]
] | Since gravitational wave spacetimes are time-varying vacuum solutions of Einstein's field equations, there is no unambiguous means to define their energy content. However, Weber and Wheeler had demonstrated that they do impart energy to test particles. There have been various proposals to define the energy content but ... |
1108.5120 | Ettore Minguzzi | J. J. Benavides Navarro and E. Minguzzi | Global hyperbolicity is stable in the interval topology | 14 pages, 2 figures. v2: shortened introduction; v3: added a note and
a reference | Journal of Mathematical Physics 52, (2011) 112504 | 10.1063/1.3660684 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We prove that global hyperbolicity is stable in the interval topology on the
spacetime metrics. We also prove that every globally hyperbolic spacetime
admits a Cauchy hypersurface which remains Cauchy under small perturbations of
the spacetime metric. Moreover, we prove that if the spacetime admits a
complete timelik... | [
{
"created": "Thu, 25 Aug 2011 15:41:07 GMT",
"version": "v1"
},
{
"created": "Mon, 31 Oct 2011 09:23:37 GMT",
"version": "v2"
},
{
"created": "Sun, 4 Dec 2011 16:16:11 GMT",
"version": "v3"
}
] | 2011-12-06 | [
[
"Navarro",
"J. J. Benavides",
""
],
[
"Minguzzi",
"E.",
""
]
] | We prove that global hyperbolicity is stable in the interval topology on the spacetime metrics. We also prove that every globally hyperbolic spacetime admits a Cauchy hypersurface which remains Cauchy under small perturbations of the spacetime metric. Moreover, we prove that if the spacetime admits a complete timelike ... |
0708.4141 | Ivan Stefanov | Ivan Zh. Stefanov, Stoytcho S. Yazadjiev, Michail D. Todorov | Phases of 4D Scalar-tensor black holes coupled to Born-Infeld nonlinear
electrodynamics | 18 pages, 8 figures, new phases, figures, clarifying remarks and
acknowledgements added | Mod.Phys.Lett.A23:2915-2931,2008 | 10.1142/S0217732308028351 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent results show that when non-linear electrodynamics is considered the
no-scalar-hair theorems in the scalar-tensor theories (STT) of gravity, which
are valid for the cases of neutral black holes and charged black holes in the
Maxwell electrodynamics, can be circumvented. What is even more, in the present
work, w... | [
{
"created": "Thu, 30 Aug 2007 12:39:14 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Oct 2007 18:22:36 GMT",
"version": "v2"
},
{
"created": "Wed, 20 Aug 2008 12:27:09 GMT",
"version": "v3"
}
] | 2008-12-25 | [
[
"Stefanov",
"Ivan Zh.",
""
],
[
"Yazadjiev",
"Stoytcho S.",
""
],
[
"Todorov",
"Michail D.",
""
]
] | Recent results show that when non-linear electrodynamics is considered the no-scalar-hair theorems in the scalar-tensor theories (STT) of gravity, which are valid for the cases of neutral black holes and charged black holes in the Maxwell electrodynamics, can be circumvented. What is even more, in the present work, we ... |
gr-qc/0405074 | Reinhard Meinel | Reinhard Meinel | Quasistationary collapse to the extreme Kerr black hole | 6 pages, submitted to Annalen der Physik (Leipzig) | Annalen Phys.13:600-603,2004 | 10.1002/andp.200410098 | null | gr-qc astro-ph hep-th | null | It is shown that the extreme Kerr black hole is the only candidate for a
black hole limit of rotating fluid bodies in equilibrium.
| [
{
"created": "Fri, 14 May 2004 08:56:54 GMT",
"version": "v1"
}
] | 2010-12-23 | [
[
"Meinel",
"Reinhard",
""
]
] | It is shown that the extreme Kerr black hole is the only candidate for a black hole limit of rotating fluid bodies in equilibrium. |
1603.04063 | Arunava Bhadra Dr. | Tamal Sarkar, Shubhrangshu Ghosh and Arunava Bhadra | Effects of dark energy and flat rotation curve on the gravitational time
delay of particle with non-zero mass | 10 pages | null | 10.1140/epjc/s10052-016-4252-0 | null | gr-qc astro-ph.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The effects of several dark energy models on gravitational time delay of
particles with non-zero mass are investigated and analytical expressions for
the same are obtained at the first order accuracy. Also the expression for
gravitational time delay under the influence of conformal gravity potential
that well describ... | [
{
"created": "Sun, 13 Mar 2016 18:44:18 GMT",
"version": "v1"
}
] | 2016-08-24 | [
[
"Sarkar",
"Tamal",
""
],
[
"Ghosh",
"Shubhrangshu",
""
],
[
"Bhadra",
"Arunava",
""
]
] | The effects of several dark energy models on gravitational time delay of particles with non-zero mass are investigated and analytical expressions for the same are obtained at the first order accuracy. Also the expression for gravitational time delay under the influence of conformal gravity potential that well describes... |
1211.3154 | Cristian Stelea | Cristian Stelea, Ciprian Dariescu, Marina Aura Dariescu | Charged black holes on the Taub-Bolt instanton | 18 pages, no figures | null | 10.1103/PhysRevD.87.024039 | null | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct a new exact solution of the Einstein-Maxwell-Dilaton field
equations in five dimensions, which describes a system of two general charged
and static black holes sitting at the two turning points of the Taub-bolt
instanton. We show that in this case the conical singularities can be
completely eliminated an... | [
{
"created": "Tue, 13 Nov 2012 22:19:30 GMT",
"version": "v1"
}
] | 2013-05-30 | [
[
"Stelea",
"Cristian",
""
],
[
"Dariescu",
"Ciprian",
""
],
[
"Dariescu",
"Marina Aura",
""
]
] | We construct a new exact solution of the Einstein-Maxwell-Dilaton field equations in five dimensions, which describes a system of two general charged and static black holes sitting at the two turning points of the Taub-bolt instanton. We show that in this case the conical singularities can be completely eliminated and ... |
gr-qc/0404083 | I. B. Khriplovich | I.B. Khriplovich | Spectrum of quantized black hole, correspondence principle, and
holographic bound | 9 pages; a minor remark, due to misunderstanding, is deleted | Zh.Eksp.Teor.Fiz.126:527,2004 | 10.1134/1.1809672 | null | gr-qc hep-th | null | An equidistant spectrum of the horizon area of a quantized black hole does
not follow from the correspondence principle or from general statistical
arguments. On the other hand, such a spectrum obtained in loop quantum gravity
(LQG) either does not comply with the holographic bound, or demands a special
choice of the... | [
{
"created": "Tue, 20 Apr 2004 06:54:23 GMT",
"version": "v1"
},
{
"created": "Tue, 11 May 2004 09:31:09 GMT",
"version": "v2"
}
] | 2014-11-17 | [
[
"Khriplovich",
"I. B.",
""
]
] | An equidistant spectrum of the horizon area of a quantized black hole does not follow from the correspondence principle or from general statistical arguments. On the other hand, such a spectrum obtained in loop quantum gravity (LQG) either does not comply with the holographic bound, or demands a special choice of the B... |
1606.09361 | Hernando Quevedo | Hernando Quevedo | Quadrupolar metrics | null | null | null | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review the problem of describing the gravitational field of compact stars
in general relativity. We focus on the deviations from spherical symmetry which
are expected to be due to rotation and to the natural deformations of mass
distributions. We assume that the relativistic quadrupole moment takes into
account th... | [
{
"created": "Thu, 30 Jun 2016 06:27:35 GMT",
"version": "v1"
}
] | 2016-07-01 | [
[
"Quevedo",
"Hernando",
""
]
] | We review the problem of describing the gravitational field of compact stars in general relativity. We focus on the deviations from spherical symmetry which are expected to be due to rotation and to the natural deformations of mass distributions. We assume that the relativistic quadrupole moment takes into account thes... |
2103.03241 | D. Divyajyoti | Divyajyoti, Preet Baxi, Chandra Kant Mishra, K. G. Arun | Detectability of gravitational higher order modes in the
third-generation era | null | Phys. Rev. D 104, 084080 (2021) | 10.1103/PhysRevD.104.084080 | null | gr-qc astro-ph.HE | http://creativecommons.org/licenses/by/4.0/ | Detection of higher order modes of gravitational waves in third-generation
(3G) ground-based detectors such as Cosmic Explorer and Einstein Telescope is
explored. Using the astrophysical population of binary black holes based on
events reported in the second gravitational wave catalog by Laser
Interferometer Gravitat... | [
{
"created": "Thu, 4 Mar 2021 18:58:51 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Oct 2021 17:22:29 GMT",
"version": "v2"
}
] | 2021-10-25 | [
[
"Divyajyoti",
"",
""
],
[
"Baxi",
"Preet",
""
],
[
"Mishra",
"Chandra Kant",
""
],
[
"Arun",
"K. G.",
""
]
] | Detection of higher order modes of gravitational waves in third-generation (3G) ground-based detectors such as Cosmic Explorer and Einstein Telescope is explored. Using the astrophysical population of binary black holes based on events reported in the second gravitational wave catalog by Laser Interferometer Gravitatio... |
1010.5599 | Hernando Quevedo | H. Quevedo, A. Sanchez, S. Taj and A. Vazquez | Phase transitions in geometrothermodynamics | null | Gen.Rel.Grav.43:1153-1165,2011 | 10.1007/s10714-010-0996-2 | null | gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using the formalism of geometrothermodynamics, we investigate the geometric
properties of the equilibrium manifold for diverse thermodynamic systems.
Starting from Legendre invariant metrics of the phase manifold, we derive
thermodynamic metrics for the equilibrium manifold whose curvature becomes
singular at those p... | [
{
"created": "Wed, 27 Oct 2010 08:12:38 GMT",
"version": "v1"
}
] | 2011-03-28 | [
[
"Quevedo",
"H.",
""
],
[
"Sanchez",
"A.",
""
],
[
"Taj",
"S.",
""
],
[
"Vazquez",
"A.",
""
]
] | Using the formalism of geometrothermodynamics, we investigate the geometric properties of the equilibrium manifold for diverse thermodynamic systems. Starting from Legendre invariant metrics of the phase manifold, we derive thermodynamic metrics for the equilibrium manifold whose curvature becomes singular at those poi... |
2104.00840 | Luis L\'opez | L. A. L\'opez and Nora Bret\'on | Redshift of light emitted by particles orbiting a black hole immersed in
a strong magnetic field | null | null | 10.1007/s10509-021-03961-3 | null | gr-qc | http://creativecommons.org/licenses/by-nc-sa/4.0/ | In this paper we analyze the frequency shifts of the light emitted by
particles describing stable circular geodesics around a static black hole
immersed in an external magnetic field of arbitrary strength. This system is
represented by the Ernst solution of the Einstein-Maxwell equations. The
presence of the magnetic... | [
{
"created": "Fri, 2 Apr 2021 01:23:32 GMT",
"version": "v1"
},
{
"created": "Wed, 26 May 2021 01:25:53 GMT",
"version": "v2"
}
] | 2021-07-21 | [
[
"López",
"L. A.",
""
],
[
"Bretón",
"Nora",
""
]
] | In this paper we analyze the frequency shifts of the light emitted by particles describing stable circular geodesics around a static black hole immersed in an external magnetic field of arbitrary strength. This system is represented by the Ernst solution of the Einstein-Maxwell equations. The presence of the magnetic f... |
gr-qc/9904077 | Steven L. Liebling | Steven L. Liebling | Critical Phenomena Inside Global Monopoles | 5 pages, 5 figures | Phys.Rev.D60:061502,1999 | 10.1103/PhysRevD.60.061502 | null | gr-qc hep-ph | null | The gravitational collapse of a triplet scalar field is examined assuming a
hedgehog ansatz for the scalar field. Whereas the seminal work by Choptuik with
a single, strictly spherically symmetric scalar field found a discretely
self-similar (DSS) solution at criticality with echoing period $\Delta=3.44$,
here a new ... | [
{
"created": "Thu, 29 Apr 1999 13:48:03 GMT",
"version": "v1"
}
] | 2009-12-30 | [
[
"Liebling",
"Steven L.",
""
]
] | The gravitational collapse of a triplet scalar field is examined assuming a hedgehog ansatz for the scalar field. Whereas the seminal work by Choptuik with a single, strictly spherically symmetric scalar field found a discretely self-similar (DSS) solution at criticality with echoing period $\Delta=3.44$, here a new DS... |
1801.07692 | Christian Pfeifer | Christian Pfeifer and Mattias N. R. Wohlfarth | Finlser geometric extension of Einstein gravity | 3 pages, 3 figures | The Thirteenth Marcel Grossmann Meeting, pp. 1116-1118 (2015) | 10.1142/9789814623995_0094 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present our Finsler spacetime formalism which extends the standard
formulation of Finsler geometry to be applicable in physics. Finsler spacetimes
are viable non-metric geometric backgrounds for physics; they guarantee well
defined causality, the propagation of light on a non-trivial null structure, a
clear notion... | [
{
"created": "Tue, 23 Jan 2018 18:27:26 GMT",
"version": "v1"
}
] | 2019-01-21 | [
[
"Pfeifer",
"Christian",
""
],
[
"Wohlfarth",
"Mattias N. R.",
""
]
] | We present our Finsler spacetime formalism which extends the standard formulation of Finsler geometry to be applicable in physics. Finsler spacetimes are viable non-metric geometric backgrounds for physics; they guarantee well defined causality, the propagation of light on a non-trivial null structure, a clear notion o... |
1605.07664 | Jorge Gigante Valcarcel | Jose A. R. Cembranos and Jorge Gigante Valcarcel | Correspondence between Einstein-Yang-Mills-Lorentz systems and dynamical
torsion models | 10 pages, 0 figures, minor changes, references added. It matches the
version published in Phys. Rev. D | Phys. Rev. D 96, 024025 (2017) | 10.1103/PhysRevD.96.024025 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the framework of Einstein-Yang-Mills theories, we study the gauge Lorentz
group and establish a particular correspondence between this case and a certain
class of theories with torsion within Riemann-Cartan space-times. This relation
is specially useful in order to simplify the problem of finding exact solutions
t... | [
{
"created": "Tue, 24 May 2016 21:25:31 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Mar 2018 01:19:24 GMT",
"version": "v2"
}
] | 2018-03-07 | [
[
"Cembranos",
"Jose A. R.",
""
],
[
"Valcarcel",
"Jorge Gigante",
""
]
] | In the framework of Einstein-Yang-Mills theories, we study the gauge Lorentz group and establish a particular correspondence between this case and a certain class of theories with torsion within Riemann-Cartan space-times. This relation is specially useful in order to simplify the problem of finding exact solutions to ... |
1907.04137 | Diego Rubiera-Garcia | Cecilia Bejarano, Adria Delhom, Alejandro Jim\'enez-Cano, Gonzalo J.
Olmo, Diego Rubiera-Garcia | Geometric inequivalence of metric and Palatini formulations of General
Relativity | 8 pages; v2: modifications to some conceptual points; v3: further
additions - version accepted for publication on Physics Letters B | null | 10.1016/j.physletb.2020.135275 | null | gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Projective invariance is a symmetry of the Palatini version of General
Relativity which is not present in the metric formulation. The fact that the
Riemann tensor changes nontrivially under projective transformations implies
that, unlike in the usual metric approach, in the Palatini formulation this
tensor is subject... | [
{
"created": "Tue, 9 Jul 2019 13:17:37 GMT",
"version": "v1"
},
{
"created": "Thu, 21 Nov 2019 22:17:07 GMT",
"version": "v2"
},
{
"created": "Thu, 6 Feb 2020 13:26:06 GMT",
"version": "v3"
}
] | 2020-02-19 | [
[
"Bejarano",
"Cecilia",
""
],
[
"Delhom",
"Adria",
""
],
[
"Jiménez-Cano",
"Alejandro",
""
],
[
"Olmo",
"Gonzalo J.",
""
],
[
"Rubiera-Garcia",
"Diego",
""
]
] | Projective invariance is a symmetry of the Palatini version of General Relativity which is not present in the metric formulation. The fact that the Riemann tensor changes nontrivially under projective transformations implies that, unlike in the usual metric approach, in the Palatini formulation this tensor is subject t... |
1002.0163 | Lorenzo Iorio | Lorenzo Iorio | Gravitomagnetism and the Earth-Mercury range | LaTex2e, 19 pages, 2 tables, 6 figures. Small typo in pag. 1406 of
the published version fixed | Adv.Sp.Res.48:1403-1410,2011 | 10.1016/j.asr.2011.06.023 | null | gr-qc astro-ph.EP physics.geo-ph physics.space-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We numerically work out the impact of the general relativistic Lense-Thirring
effect on the Earth-Mercury range caused by the gravitomagnetic field of the
rotating Sun. The peak-to peak nominal amplitude of the resulting time-varying
signal amounts to 1.75 10^1 m over a temporal interval 2 yr. Future
interplanetary l... | [
{
"created": "Mon, 1 Feb 2010 12:15:50 GMT",
"version": "v1"
},
{
"created": "Sun, 29 Aug 2010 09:19:33 GMT",
"version": "v2"
},
{
"created": "Thu, 2 Sep 2010 08:03:40 GMT",
"version": "v3"
},
{
"created": "Thu, 18 Nov 2010 19:39:26 GMT",
"version": "v4"
},
{
"cre... | 2015-03-13 | [
[
"Iorio",
"Lorenzo",
""
]
] | We numerically work out the impact of the general relativistic Lense-Thirring effect on the Earth-Mercury range caused by the gravitomagnetic field of the rotating Sun. The peak-to peak nominal amplitude of the resulting time-varying signal amounts to 1.75 10^1 m over a temporal interval 2 yr. Future interplanetary las... |
0909.2597 | Jonathan Halliwell | J.J.Halliwell | Probabilities in Quantum Cosmological Models: A Decoherent Histories
Analysis Using a Complex Potential | 49 pages, Latex, 8 figures | Phys.Rev.D80:124032,2009 | 10.1103/PhysRevD.80.124032 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the quantization of simple cosmological models (minisuperspace models)
described by the Wheeler-DeWitt equation, an important step is the
construction, from the wave function, of a probability distribution answering
various questions of physical interest, such as the probability of the system
entering a given regi... | [
{
"created": "Mon, 14 Sep 2009 17:02:33 GMT",
"version": "v1"
}
] | 2010-04-30 | [
[
"Halliwell",
"J. J.",
""
]
] | In the quantization of simple cosmological models (minisuperspace models) described by the Wheeler-DeWitt equation, an important step is the construction, from the wave function, of a probability distribution answering various questions of physical interest, such as the probability of the system entering a given region... |
2401.04048 | Raphaela Wutte | Piotr T. Chru\'sciel, Raphaela Wutte | Gluing-at-infinity of two-dimensional asymptotically locally hyperbolic
manifolds | 53 pages, 9 figures, v2: expanded to include the analysis of global
properties of some solutions | null | null | null | gr-qc hep-th math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We review notions of mass of asymptotically locally Anti-de Sitter
three-dimensional spacetimes, and apply them to some known solutions. For
two-dimensional general relativistic initial data sets the mass is not
invariant under asymptotic symmetries, but a unique mass parameter can be
obtained either by minimisation,... | [
{
"created": "Mon, 8 Jan 2024 17:39:47 GMT",
"version": "v1"
},
{
"created": "Sun, 21 Jul 2024 09:10:11 GMT",
"version": "v2"
}
] | 2024-07-23 | [
[
"Chruściel",
"Piotr T.",
""
],
[
"Wutte",
"Raphaela",
""
]
] | We review notions of mass of asymptotically locally Anti-de Sitter three-dimensional spacetimes, and apply them to some known solutions. For two-dimensional general relativistic initial data sets the mass is not invariant under asymptotic symmetries, but a unique mass parameter can be obtained either by minimisation, o... |
1910.12443 | Masato Nozawa | Masato Nozawa and Kentaro Tomoda | All the three dimensional Lorentzian metrics admitting three Killing
vectors | 29 pages, 1 table; v2: references added, accepted version in CQG | Class. Quantum Grav. 37, 085005 (2020) | 10.1088/1361-6382/ab719e | null | gr-qc hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We obtain all the three-dimensional Lorentzian metrics which admit three
Killing vectors. The classification has been done with the aid of the formalism
which exploits the obstruction criteria for the Killing equations recently
developed by present authors. The current classification method does not rely
on the trans... | [
{
"created": "Mon, 28 Oct 2019 04:57:20 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Feb 2020 05:21:00 GMT",
"version": "v2"
}
] | 2020-06-17 | [
[
"Nozawa",
"Masato",
""
],
[
"Tomoda",
"Kentaro",
""
]
] | We obtain all the three-dimensional Lorentzian metrics which admit three Killing vectors. The classification has been done with the aid of the formalism which exploits the obstruction criteria for the Killing equations recently developed by present authors. The current classification method does not rely on the transit... |
1305.5406 | J. Fernando Barbero G. | J. Fernando Barbero G., Jorge Prieto, Eduardo J. S. Villase\~nor | Band structure in the polymer quantization of the harmonic oscillator | 17 pages, 1 figure | Class.Quant.Grav.30:165011,2013 | 10.1088/0264-9381/30/16/165011 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss the detailed structure of the spectrum of the Hamiltonian for the
polymerized harmonic oscillator and compare it with the spectrum in the
standard quantization. As we will see the non-separability of the Hilbert space
implies that the point spectrum consists of bands similar to the ones appearing
in the tr... | [
{
"created": "Thu, 23 May 2013 13:10:51 GMT",
"version": "v1"
}
] | 2013-07-23 | [
[
"G.",
"J. Fernando Barbero",
""
],
[
"Prieto",
"Jorge",
""
],
[
"Villaseñor",
"Eduardo J. S.",
""
]
] | We discuss the detailed structure of the spectrum of the Hamiltonian for the polymerized harmonic oscillator and compare it with the spectrum in the standard quantization. As we will see the non-separability of the Hilbert space implies that the point spectrum consists of bands similar to the ones appearing in the trea... |
2003.03382 | Marvin L\"uben | Marvin L\"uben, Angnis Schmidt-May, Jochen Weller | Physical parameter space of bimetric theory and SN1a constraints | null | null | 10.1088/1475-7516/2020/09/024 | MPP-2020-27 | gr-qc astro-ph.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Bimetric theory describes a massless and a massive spin-2 field with fully
non-linear (self-)interactions. It has a rich phenomenology and has been
successfully tested with several data sets. However, the observational
constraints have not been combined in a consistent framework, yet. We propose a
parametrization of ... | [
{
"created": "Fri, 6 Mar 2020 19:00:02 GMT",
"version": "v1"
},
{
"created": "Mon, 19 Oct 2020 13:08:37 GMT",
"version": "v2"
}
] | 2020-10-20 | [
[
"Lüben",
"Marvin",
""
],
[
"Schmidt-May",
"Angnis",
""
],
[
"Weller",
"Jochen",
""
]
] | Bimetric theory describes a massless and a massive spin-2 field with fully non-linear (self-)interactions. It has a rich phenomenology and has been successfully tested with several data sets. However, the observational constraints have not been combined in a consistent framework, yet. We propose a parametrization of bi... |
0806.2593 | Martin Bojowald | Martin Bojowald, Tomohiro Harada, Rakesh Tibrewala | Lemaitre-Tolman-Bondi collapse from the perspective of loop quantum
gravity | 56 pages, 42 figures | Phys.Rev.D78:064057,2008 | 10.1103/PhysRevD.78.064057 | IGC-08/6-3 | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Lemaitre-Tolman-Bondi models as specific spherically symmetric solutions of
general relativity simplify in their reduced form some of the mathematical
ingredients of black hole or cosmological applications. The conditions imposed
in addition to spherical symmetry turn out to take a simple form at the
kinematical leve... | [
{
"created": "Mon, 16 Jun 2008 14:31:25 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Bojowald",
"Martin",
""
],
[
"Harada",
"Tomohiro",
""
],
[
"Tibrewala",
"Rakesh",
""
]
] | Lemaitre-Tolman-Bondi models as specific spherically symmetric solutions of general relativity simplify in their reduced form some of the mathematical ingredients of black hole or cosmological applications. The conditions imposed in addition to spherical symmetry turn out to take a simple form at the kinematical level ... |
2112.00771 | Jose Natario | Jose Natario and Flavio Rossetti | Explicit formulas and decay rates for the solution of the wave equation
in cosmological spacetimes | 34 pages, 2 figures; v2: conjectures refined, improved introduction,
proof of Theorem 6.2 corrected | J. Math. Phys. 64, 032504 (2023) | 10.1063/5.0135092 | null | gr-qc math.AP | http://creativecommons.org/licenses/by/4.0/ | We obtain explicit formulas for the solution of the wave equation in certain
Friedmann-Lemaitre-Robertson-Walker (FLRW) spacetimes. Our method, pioneered by
Klainerman and Sarnak, consists in finding differential operators that map
solutions of the wave equation in these FLRW spacetimes to solutions of the
conformall... | [
{
"created": "Wed, 1 Dec 2021 19:00:09 GMT",
"version": "v1"
},
{
"created": "Tue, 15 Nov 2022 10:16:04 GMT",
"version": "v2"
}
] | 2023-10-12 | [
[
"Natario",
"Jose",
""
],
[
"Rossetti",
"Flavio",
""
]
] | We obtain explicit formulas for the solution of the wave equation in certain Friedmann-Lemaitre-Robertson-Walker (FLRW) spacetimes. Our method, pioneered by Klainerman and Sarnak, consists in finding differential operators that map solutions of the wave equation in these FLRW spacetimes to solutions of the conformally ... |
1108.0875 | Florian Bauer | Florian Bauer | The cosmological constant filter without big bang singularity | 11+3 pages, 6 figures, one reference added, accepted by Class. Quant.
Grav | Class. Quantum Grav. 28 (2011) 225019 | 10.1088/0264-9381/28/22/225019 | ICCUB-11-164 | gr-qc astro-ph.CO hep-ph hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the recently proposed cosmological constant (CC) filter mechanism based on
modified gravity in the Palatini formalism, gravity in the radiation, matter
and late-time de Sitter eras is insensitive to energy sources with the equation
of state -1. This implies that finite vacuum energy shifts from phase
transitions a... | [
{
"created": "Wed, 3 Aug 2011 15:54:22 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Oct 2011 08:46:37 GMT",
"version": "v2"
}
] | 2011-10-27 | [
[
"Bauer",
"Florian",
""
]
] | In the recently proposed cosmological constant (CC) filter mechanism based on modified gravity in the Palatini formalism, gravity in the radiation, matter and late-time de Sitter eras is insensitive to energy sources with the equation of state -1. This implies that finite vacuum energy shifts from phase transitions are... |
1311.6942 | Giorgio Immirzi | Giorgio Immirzi | A note on the spinor construction of Spin Foam amplitudes | 20 pages, 1 figure; in v.2 typos corrected, presentation improved,
referee comments accepted | null | 10.1088/0264-9381/31/9/095016 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | I discuss the use of spinors in the construction of spin-foam models, in
particular the form of the closure and simplicity constraints for triangles
that are space-like, i.e. with (area)$^2=\half S^{IJ}S_{IJ}>0$, regardless of
whether they belong the tetrahedra with a space-like or time-like normal,
emphasizing the r... | [
{
"created": "Wed, 27 Nov 2013 11:50:58 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Mar 2014 12:06:46 GMT",
"version": "v2"
}
] | 2015-06-18 | [
[
"Immirzi",
"Giorgio",
""
]
] | I discuss the use of spinors in the construction of spin-foam models, in particular the form of the closure and simplicity constraints for triangles that are space-like, i.e. with (area)$^2=\half S^{IJ}S_{IJ}>0$, regardless of whether they belong the tetrahedra with a space-like or time-like normal, emphasizing the rol... |
0901.2884 | Adolfo De Un\'anue | Daniel Sudarsky and Adolfo De Unanue | A window to quantum gravity phenomena in the emergence of the seeds of
cosmic structure | 13 pages, 3 figures. To appear in DICE 2008 conference proceedings | J.Phys.Conf.Ser.174:012059,2009 | 10.1088/1742-6596/174/1/012059 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Inflationary cosmology has, in the last few years,received a strong dose of
support from observations. The fact that the fluctuation spectrum can be
extracted from the inflationary scenario through an analysis that involves
quantum field theory in curved space-time, and that it coincides with the
observational data h... | [
{
"created": "Mon, 19 Jan 2009 19:36:45 GMT",
"version": "v1"
}
] | 2009-07-24 | [
[
"Sudarsky",
"Daniel",
""
],
[
"De Unanue",
"Adolfo",
""
]
] | Inflationary cosmology has, in the last few years,received a strong dose of support from observations. The fact that the fluctuation spectrum can be extracted from the inflationary scenario through an analysis that involves quantum field theory in curved space-time, and that it coincides with the observational data has... |
1707.06874 | Jose Wadih Maluf Dr. | J. W. Maluf, J. F. da Rocha-Neto, S. C. Ulhoa and F. L. Carneiro | Plane Gravitational Waves, the Kinetic Energy of Free Particles and the
Memory Effect | 14 pages, 12 figures; References added | Gravitation and Cosmology, Vol. 24, Issue 3 (2018) | 10.1134/S020228931803009X | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is shown that in the passage of a short burst of non-linear plane
gravitational wave, the kinetic energy of free particles may either decrease or
increase. The decreasing or increasing of the kinetic energy depends crucially
on the initial conditions (position and velocity) of the free particle.
Therefore a plane ... | [
{
"created": "Fri, 21 Jul 2017 12:45:57 GMT",
"version": "v1"
},
{
"created": "Mon, 16 Oct 2017 22:29:47 GMT",
"version": "v2"
},
{
"created": "Wed, 2 May 2018 16:23:28 GMT",
"version": "v3"
}
] | 2018-09-05 | [
[
"Maluf",
"J. W.",
""
],
[
"da Rocha-Neto",
"J. F.",
""
],
[
"Ulhoa",
"S. C.",
""
],
[
"Carneiro",
"F. L.",
""
]
] | It is shown that in the passage of a short burst of non-linear plane gravitational wave, the kinetic energy of free particles may either decrease or increase. The decreasing or increasing of the kinetic energy depends crucially on the initial conditions (position and velocity) of the free particle. Therefore a plane gr... |
1502.01716 | Paolo Valtancoli | P. Valtancoli | Hawking radiation for a scalar field conformally coupled to an AdS black
hole | 9 pages, no figures | null | null | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The decomposition in normal modes of a scalar field conformally coupled to an
AdS black hole leads to a Heun equation with simple coefficients thanks to
conformal invariance. By applying the Damour-Ruffini method we can relate the
critical exponent of the radial part at the horizon surface to the Hawking
radiation of... | [
{
"created": "Thu, 5 Feb 2015 20:56:33 GMT",
"version": "v1"
}
] | 2015-02-06 | [
[
"Valtancoli",
"P.",
""
]
] | The decomposition in normal modes of a scalar field conformally coupled to an AdS black hole leads to a Heun equation with simple coefficients thanks to conformal invariance. By applying the Damour-Ruffini method we can relate the critical exponent of the radial part at the horizon surface to the Hawking radiation of s... |
gr-qc/9708058 | Martin Rainer | K.A. Bronnikov, U. Kasper, and M. Rainer | Intersecting electric and magnetic p-branes: spherically symmetric
solutions | 17 pages, LaTeX | Gen.Rel.Grav.31:1681-1702,1999 | 10.1023/A:1026710132585 | P-Math-97/21 | gr-qc | null | We consider a D-dimensional self-gravitating spherically symmetric
configuration of a generalized electro-magnetic n-form F and a dilatonic scalar
field, admitting an interpretation in terms of intersecting p-branes. For
theories with multiple times, selection rules are obtained, which obstruct the
existence of p-bra... | [
{
"created": "Sun, 24 Aug 1997 14:19:41 GMT",
"version": "v1"
}
] | 2010-11-19 | [
[
"Bronnikov",
"K. A.",
""
],
[
"Kasper",
"U.",
""
],
[
"Rainer",
"M.",
""
]
] | We consider a D-dimensional self-gravitating spherically symmetric configuration of a generalized electro-magnetic n-form F and a dilatonic scalar field, admitting an interpretation in terms of intersecting p-branes. For theories with multiple times, selection rules are obtained, which obstruct the existence of p-brane... |
gr-qc/0509092 | Luis Lehner | Carles Bona, Luis Lehner and Carlos Palenzuela-Luque | Geometrically motivated hyperbolic coordinate conditions for numerical
relativity: Analysis, issues and implementations | 9 figures | Phys.Rev.D72:104009,2005 | 10.1103/PhysRevD.72.104009 | LSU-REL-092204 | gr-qc | null | We study the implications of adopting hyperbolic driver coordinate conditions
motivated by geometrical considerations. In particular, conditions that
minimize the rate of change of the metric variables. We analyze the properties
of the resulting system of equations and their effect when implementing
excision techniqu... | [
{
"created": "Thu, 22 Sep 2005 19:45:38 GMT",
"version": "v1"
}
] | 2011-04-21 | [
[
"Bona",
"Carles",
""
],
[
"Lehner",
"Luis",
""
],
[
"Palenzuela-Luque",
"Carlos",
""
]
] | We study the implications of adopting hyperbolic driver coordinate conditions motivated by geometrical considerations. In particular, conditions that minimize the rate of change of the metric variables. We analyze the properties of the resulting system of equations and their effect when implementing excision techniques... |
1102.0479 | Fabio Capela | Fabio Capela and Peter G. Tinyakov | Black Hole Thermodynamics and Massive Gravity | 15 pages, 4 figures; v2:Style changed to JHEP. Discussion added in
the conclusions. Revised version to match published version | JHEP 1104:042,2011 | 10.1007/JHEP04(2011)042 | ULB-TH/11-05 | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the generalized laws of thermodynamics in massive gravity. Making
use of explicit black hole solutions, we devise black hole merger processes in
which i) total entropy of the system decreases ii) the zero-temperature
extremal black hole is created. Thus, both second and third laws of
thermodynamics are vi... | [
{
"created": "Wed, 2 Feb 2011 16:35:27 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Apr 2011 13:12:32 GMT",
"version": "v2"
}
] | 2011-04-19 | [
[
"Capela",
"Fabio",
""
],
[
"Tinyakov",
"Peter G.",
""
]
] | We consider the generalized laws of thermodynamics in massive gravity. Making use of explicit black hole solutions, we devise black hole merger processes in which i) total entropy of the system decreases ii) the zero-temperature extremal black hole is created. Thus, both second and third laws of thermodynamics are viol... |
2307.06215 | Anthony Brady PhD | Ivan Agullo, Anthony J. Brady, Adri\`a Delhom, Dimitrios Kranas | Entanglement from rotating black holes in thermal baths | 6 + 9 pages, 3 figures. Comments are welcomed and encouraged | null | null | null | gr-qc hep-th quant-ph | http://creativecommons.org/licenses/by/4.0/ | We extend previous efforts to quantify the entanglement generated in
Hawking's evaporation process by including rotation and thermal environments
(e.g. the cosmic microwave background). Both extensions are needed to describe
real black holes in our universe. Leveraging techniques from Gaussian quantum
information, we... | [
{
"created": "Wed, 12 Jul 2023 15:04:36 GMT",
"version": "v1"
}
] | 2023-07-13 | [
[
"Agullo",
"Ivan",
""
],
[
"Brady",
"Anthony J.",
""
],
[
"Delhom",
"Adrià",
""
],
[
"Kranas",
"Dimitrios",
""
]
] | We extend previous efforts to quantify the entanglement generated in Hawking's evaporation process by including rotation and thermal environments (e.g. the cosmic microwave background). Both extensions are needed to describe real black holes in our universe. Leveraging techniques from Gaussian quantum information, we f... |
0804.2786 | Bobomurat Ahmedov | V. S. Morozova, B. J. Ahmedov | Quantum Interference Effects in Slowly Rotating NUT Space-time | 11 pages, 1 figure, accepted for publication in Int. J. Mod. Phys. D;
added references | Int.J.Mod.Phys.D18:107-118,2009 | 10.1142/S0218271809014352 | null | gr-qc astro-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | General relativistic quantum interference effects in the slowly rotating NUT
space-time as the Sagnac effect and the phase shift effect of interfering
particle in neutron interferometer are considered. It was found that in the
case of the Sagnac effect the influence of NUT parameter is becoming important
due to the f... | [
{
"created": "Thu, 17 Apr 2008 12:40:38 GMT",
"version": "v1"
},
{
"created": "Sun, 20 Apr 2008 13:06:06 GMT",
"version": "v2"
}
] | 2009-03-24 | [
[
"Morozova",
"V. S.",
""
],
[
"Ahmedov",
"B. J.",
""
]
] | General relativistic quantum interference effects in the slowly rotating NUT space-time as the Sagnac effect and the phase shift effect of interfering particle in neutron interferometer are considered. It was found that in the case of the Sagnac effect the influence of NUT parameter is becoming important due to the fac... |
gr-qc/9510024 | Paulo Rodrigues Lima Vargas Moniz | P.V. Moniz | Is there a problem with quantum wormhole states in N=1 Supergravity? | 22 pages, TeX (some font problems may occur, just press Return),
Based on a essay submitted to the 1995 ravity Research Foundation Awards,
accepted in G.R.G | null | 10.1007/BF02106857 | DAMTP R95/19 | gr-qc | null | The issue concerning the existence of wormhole states in locally
supersymmetric minisuperspace models with matter is addressed. Wormhole states
are apparently absent in models obtained from the more general theory of N=1
supergravity with supermatter. A Hartle-Hawking type solution can be found,
even though some term... | [
{
"created": "Fri, 13 Oct 1995 11:01:43 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Moniz",
"P. V.",
""
]
] | The issue concerning the existence of wormhole states in locally supersymmetric minisuperspace models with matter is addressed. Wormhole states are apparently absent in models obtained from the more general theory of N=1 supergravity with supermatter. A Hartle-Hawking type solution can be found, even though some terms ... |
0712.1434 | Branislav Cvetkovi\'c | B. Cvetkovi\'c and M. Blagojevi\'c | Stability of 3D black hole with torsion | LATEX, 9 pages | Mod.Phys.Lett.A22:3047-3055,2007 | 10.1142/S0217732307026126 | null | gr-qc | null | Using $N=1+1$ supersymmetric extension of the three-dimensional gravity with
torsion, we show that a generic black hole has no exact supersymmetries, the
extremal black hole has only one, while the zero-energy black hole has two.
Combining these results with the asymptotic supersymmetry algebra, we are
naturally led ... | [
{
"created": "Mon, 10 Dec 2007 11:09:18 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Cvetković",
"B.",
""
],
[
"Blagojević",
"M.",
""
]
] | Using $N=1+1$ supersymmetric extension of the three-dimensional gravity with torsion, we show that a generic black hole has no exact supersymmetries, the extremal black hole has only one, while the zero-energy black hole has two. Combining these results with the asymptotic supersymmetry algebra, we are naturally led to... |
1903.05119 | Farhad Darabi | H. Hadi, F. Darabi, K. Atazadeh, Y. Heydarzade | D-bound and Bekenstein Bound for the Surrounded Vaidya Black Hole | 12 pages, minor revision | Eur. Phys. J. C 80, 1126 (2020) | 10.1140/epjc/s10052-020-08699-w | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the Vaidya black hole surrounded by the exotic quintessence-like,
phantom-like and cosmological constant-like fields by means of entropic
considerations. Explicitly, we show that for this thermodynamical system, the
requirement for the identification of D-bound and Bekenstein entropy bound can
be considered ... | [
{
"created": "Tue, 12 Mar 2019 18:05:57 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Aug 2019 18:57:54 GMT",
"version": "v2"
},
{
"created": "Tue, 8 Oct 2019 16:23:16 GMT",
"version": "v3"
},
{
"created": "Tue, 22 Dec 2020 08:54:01 GMT",
"version": "v4"
}
] | 2020-12-23 | [
[
"Hadi",
"H.",
""
],
[
"Darabi",
"F.",
""
],
[
"Atazadeh",
"K.",
""
],
[
"Heydarzade",
"Y.",
""
]
] | We study the Vaidya black hole surrounded by the exotic quintessence-like, phantom-like and cosmological constant-like fields by means of entropic considerations. Explicitly, we show that for this thermodynamical system, the requirement for the identification of D-bound and Bekenstein entropy bound can be considered as... |
0805.0070 | Ujjal Debnath | Surajit Chattopadhyay and Ujjal Debnath | Density Evolution in the New Modified Chaplygin Gas Model | 6 Latex pages, 4 figures, RevTex style | Grav.Cosmol.14:341-346,2008 | 10.1134/S0202289308040099 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we have considered new modified Chaplygin gas (NMCG) model
which interpolates between radiation at early stage and $\Lambda$CDM at late
stage. This model is regarded as a unification of dark energy and dark matter
(with general form of matter). We have derived the density parameters from the
equation o... | [
{
"created": "Thu, 1 May 2008 08:28:27 GMT",
"version": "v1"
}
] | 2008-12-18 | [
[
"Chattopadhyay",
"Surajit",
""
],
[
"Debnath",
"Ujjal",
""
]
] | In this paper, we have considered new modified Chaplygin gas (NMCG) model which interpolates between radiation at early stage and $\Lambda$CDM at late stage. This model is regarded as a unification of dark energy and dark matter (with general form of matter). We have derived the density parameters from the equation of ... |
2111.00864 | Ke Yang | Ke Yang, Bao-Min Gu, Yu-Peng Zhang | Motion of Spinning Particles around Electrically Charged Black Hole in
Eddington-inspired Born-Infeld Gravity | 14 pages, 29 figures | Eur. Phys. J. C 82 (2022) 293 | 10.1140/epjc/s10052-022-10229-9 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A test particle possessing spin angular momentum moves along a non-geodesic
path due to an additional spin-curvature force. We study the spinning test
particle moving in the vicinity of the electrically charged black hole
formation in Eddington-inspired Born-Infeld (EiBI) gravity. Through the
numerical analysis of it... | [
{
"created": "Mon, 1 Nov 2021 12:07:34 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Apr 2022 09:22:00 GMT",
"version": "v2"
}
] | 2022-04-20 | [
[
"Yang",
"Ke",
""
],
[
"Gu",
"Bao-Min",
""
],
[
"Zhang",
"Yu-Peng",
""
]
] | A test particle possessing spin angular momentum moves along a non-geodesic path due to an additional spin-curvature force. We study the spinning test particle moving in the vicinity of the electrically charged black hole formation in Eddington-inspired Born-Infeld (EiBI) gravity. Through the numerical analysis of its ... |
1208.3473 | William East | William E. East, Fethi M. Ramazano\u{g}lu, Frans Pretorius | Conformal Thin-Sandwich Solver for Generic Initial Data | 12 pages, 8 figures, PRD in production | Phys. Rev. D 86, 104053 (2012) | 10.1103/PhysRevD.86.104053 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a new scheme for constructing initial data for the Einstein field
equations using the conformal thin-sandwich formulation that does not assume
conformal flatness or approximate Killing vectors. This includes a method for
determining free data based on superposition, as well as a way to handle black
hole si... | [
{
"created": "Thu, 16 Aug 2012 20:01:11 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Nov 2012 22:39:57 GMT",
"version": "v2"
}
] | 2012-11-29 | [
[
"East",
"William E.",
""
],
[
"Ramazanoğlu",
"Fethi M.",
""
],
[
"Pretorius",
"Frans",
""
]
] | We present a new scheme for constructing initial data for the Einstein field equations using the conformal thin-sandwich formulation that does not assume conformal flatness or approximate Killing vectors. This includes a method for determining free data based on superposition, as well as a way to handle black hole sing... |
0709.0616 | Vyacheslav Ivanovich Dokuchaev | S. V. Chernov and V. I. Dokuchaev | Vacuum shell in the Schwarzschild-de Sitter world | 15 pages, 8 figures | Class.Quant.Grav.25:015004,2008 | 10.1088/0264-9381/25/1/015004 | null | gr-qc hep-ph | null | We construct the classification scheme for all possible evolution scenarios
and find the corresponding global geometries for dynamics of a thin spherical
vacuum shell in the Schwarzschild-de Sitter metric. This configuration is
suitable for the modelling of vacuum bubbles arising during cosmological phase
transitions... | [
{
"created": "Wed, 5 Sep 2007 10:46:22 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Chernov",
"S. V.",
""
],
[
"Dokuchaev",
"V. I.",
""
]
] | We construct the classification scheme for all possible evolution scenarios and find the corresponding global geometries for dynamics of a thin spherical vacuum shell in the Schwarzschild-de Sitter metric. This configuration is suitable for the modelling of vacuum bubbles arising during cosmological phase transitions i... |
1211.5878 | Henrique de Andrade Gomes | H. Gomes and T. Koslowski | Frequently asked questions about Shape Dynamics | 22 pages | Found. of Phys. Volume 43, Number 12/ 2013 | 10.1007/s10701-013-9754-0 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Barbour's interpretation of Mach's principle led him to postulate that
gravity should be formulated as a dynamical theory of spatial conformal
geometry, or in his terminology, "shapes." Recently, it was shown that the
dynamics of General Relativity can indeed be formulated as the dynamics of
shapes. This new Shape Dy... | [
{
"created": "Mon, 26 Nov 2012 08:15:33 GMT",
"version": "v1"
},
{
"created": "Sat, 30 Nov 2013 00:29:55 GMT",
"version": "v2"
}
] | 2013-12-03 | [
[
"Gomes",
"H.",
""
],
[
"Koslowski",
"T.",
""
]
] | Barbour's interpretation of Mach's principle led him to postulate that gravity should be formulated as a dynamical theory of spatial conformal geometry, or in his terminology, "shapes." Recently, it was shown that the dynamics of General Relativity can indeed be formulated as the dynamics of shapes. This new Shape Dyna... |
gr-qc/0501042 | Hideki Maeda | Hideki Maeda, Takashi Torii and Tomohiro Harada | Novel Cauchy-horizon instability | 6 pages, 1 figure, final version to appear in Physical Review D | Phys.Rev. D71 (2005) 064015 | 10.1103/PhysRevD.71.064015 | WU-AP/208/05 | gr-qc | null | The evolution of weak discontinuity is investigated on horizons in the
$n$-dimensional static solutions in the Einstein-Maxwell-scalar-$\Lambda$
system, including the Reissner-Nordstr\"om-(anti) de Sitter black hole. The
analysis is essentially local and nonlinear. We find that the Cauchy horizon is
unstable, whereas... | [
{
"created": "Wed, 12 Jan 2005 18:18:07 GMT",
"version": "v1"
},
{
"created": "Thu, 10 Mar 2005 09:34:51 GMT",
"version": "v2"
}
] | 2009-11-11 | [
[
"Maeda",
"Hideki",
""
],
[
"Torii",
"Takashi",
""
],
[
"Harada",
"Tomohiro",
""
]
] | The evolution of weak discontinuity is investigated on horizons in the $n$-dimensional static solutions in the Einstein-Maxwell-scalar-$\Lambda$ system, including the Reissner-Nordstr\"om-(anti) de Sitter black hole. The analysis is essentially local and nonlinear. We find that the Cauchy horizon is unstable, whereas b... |
gr-qc/0002066 | C. M. zhang | J.G. Pereira, C. M. Zhang | Some Remarks on the Neutrino Oscillation Phase in a Gravitational Field | 4 pages, no figures | Gen.Rel.Grav. 32 (2000) 1633-1637 | 10.1023/A:1001902706237 | null | gr-qc | null | The weak gravitational field expansion method to account for the
gravitationally induced neutrino oscillation effect is critically examined. It
is shown that the splitting of the neutrino phase into a ``kinematic'' and a
``gravitational'' phase is not always possible because the relativistic factor
modifies the parti... | [
{
"created": "Fri, 18 Feb 2000 22:21:15 GMT",
"version": "v1"
},
{
"created": "Tue, 22 Feb 2000 15:31:21 GMT",
"version": "v2"
},
{
"created": "Wed, 6 Dec 2000 15:00:53 GMT",
"version": "v3"
}
] | 2015-06-25 | [
[
"Pereira",
"J. G.",
""
],
[
"Zhang",
"C. M.",
""
]
] | The weak gravitational field expansion method to account for the gravitationally induced neutrino oscillation effect is critically examined. It is shown that the splitting of the neutrino phase into a ``kinematic'' and a ``gravitational'' phase is not always possible because the relativistic factor modifies the particl... |
2103.13903 | Franco Fiorini | Franco Fiorini and Mart\'in Onetto | Matching tetrads in f(T) gravity | 6 pages, one figure. Final version published in PRD | Phys. Rev. D 103, 084051 (2021) | 10.1103/PhysRevD.103.084051 | null | gr-qc | http://creativecommons.org/licenses/by-nc-sa/4.0/ | The procedure underlying the matching of 1-form (tetrad) fields in theories
possessing absolute parallelism -- f(T) gravity being within this category --
is addressed and exemplified. We show that the remnant symmetries of the
intervening spaces play a central role in the process, because the knowledge of
the remnant... | [
{
"created": "Thu, 25 Mar 2021 15:14:21 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Apr 2021 16:26:34 GMT",
"version": "v2"
}
] | 2021-05-05 | [
[
"Fiorini",
"Franco",
""
],
[
"Onetto",
"Martín",
""
]
] | The procedure underlying the matching of 1-form (tetrad) fields in theories possessing absolute parallelism -- f(T) gravity being within this category -- is addressed and exemplified. We show that the remnant symmetries of the intervening spaces play a central role in the process, because the knowledge of the remnant g... |
2406.20068 | Wojciech Kami\'nski | Wojciech Kami\'nski and Jerzy Lewandowski | Extreme horizon equation | 30 pages | null | null | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Extremal horizons satisfy an equation induced by the Einstein vacuum
equations that determines the shape of the horizon and the manner in which it
rotates (the EEH equation). Until recently, however, the classification of
solutions required the assumption of axial symmetry. Recently, there has been a
breakthrough: Du... | [
{
"created": "Fri, 28 Jun 2024 17:27:03 GMT",
"version": "v1"
}
] | 2024-07-01 | [
[
"Kamiński",
"Wojciech",
""
],
[
"Lewandowski",
"Jerzy",
""
]
] | Extremal horizons satisfy an equation induced by the Einstein vacuum equations that determines the shape of the horizon and the manner in which it rotates (the EEH equation). Until recently, however, the classification of solutions required the assumption of axial symmetry. Recently, there has been a breakthrough: Duna... |
2111.08029 | Surajit Kalita | Lupamudra Sarmah (IIT-BHU), Surajit Kalita (IISc) and Aneta Wojnar
(University of Tartu) | Stability criterion for white dwarfs in Palatini $f(R)$ gravity | 12 pages with 4 figures; version accepted for publication in Phys.
Rev. D | Phys. Rev. D 105, 024028 (2022) | 10.1103/PhysRevD.105.024028 | null | gr-qc astro-ph.HE astro-ph.SR | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Recent observations of several peculiar over- and under-luminous type Ia
supernovae infer indirect evidence for the violation of the Chandrasekhar
mass-limit by suggesting the existence of super- and sub-Chandrasekhar limiting
mass white dwarfs. In an attempt to explain these phenomena in the context of
general relat... | [
{
"created": "Mon, 15 Nov 2021 19:00:09 GMT",
"version": "v1"
},
{
"created": "Fri, 24 Dec 2021 11:52:24 GMT",
"version": "v2"
}
] | 2022-01-11 | [
[
"Sarmah",
"Lupamudra",
"",
"IIT-BHU"
],
[
"Kalita",
"Surajit",
"",
"IISc"
],
[
"Wojnar",
"Aneta",
"",
"University of Tartu"
]
] | Recent observations of several peculiar over- and under-luminous type Ia supernovae infer indirect evidence for the violation of the Chandrasekhar mass-limit by suggesting the existence of super- and sub-Chandrasekhar limiting mass white dwarfs. In an attempt to explain these phenomena in the context of general relativ... |
gr-qc/9510054 | Serge Winitzki | Serge Winitzki, Alexander Vilenkin | Uncertainties of predictions in models of eternal inflation | 30 pages, RevTeX, figure included, added some references and Comments
on recent proposal (gr-qc/9511058) of alternative regularization schemes, to
appear in Phys. Rev. D | Phys.Rev. D53 (1996) 4298-4310 | 10.1103/PhysRevD.53.4298 | TUTP-95-03 | gr-qc | null | In a previous paper \cite{MakingPredictions}, a method of comparing the
volumes of thermalized regions in eternally inflating universe was introduced.
In this paper, we investigate the dependence of the results obtained through
that method on the choice of the time variable and factor ordering in the
diffusion equati... | [
{
"created": "Thu, 26 Oct 1995 19:32:00 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Jan 1996 22:59:12 GMT",
"version": "v2"
}
] | 2009-10-28 | [
[
"Winitzki",
"Serge",
""
],
[
"Vilenkin",
"Alexander",
""
]
] | In a previous paper \cite{MakingPredictions}, a method of comparing the volumes of thermalized regions in eternally inflating universe was introduced. In this paper, we investigate the dependence of the results obtained through that method on the choice of the time variable and factor ordering in the diffusion equation... |
2209.09324 | Michael Green | Ramin G. Daghigh, Michael D. Green, Jodin C. Morey | Calculating quasinormal modes of Schwarzschild anti-de Sitter black
holes using the continued fraction method | 21 pages, 6 figures, regular article, some typos corrected, new
references added, a claim about -2i being a QNM was corrected | null | 10.1103/PhysRevD.107.024023 | null | gr-qc | http://creativecommons.org/licenses/by/4.0/ | We investigate the scalar, gravitational, and electromagnetic quasinormal
mode spectra of Schwarzschild anti-de Sitter black holes using the numerical
continued fraction method. The spectra have similar, almost linear structures.
With a few exceptions, the low overtone quasinormal modes are consistent with
previously... | [
{
"created": "Mon, 19 Sep 2022 19:52:08 GMT",
"version": "v1"
},
{
"created": "Mon, 7 Nov 2022 22:42:56 GMT",
"version": "v2"
},
{
"created": "Tue, 20 Dec 2022 21:51:10 GMT",
"version": "v3"
}
] | 2023-02-01 | [
[
"Daghigh",
"Ramin G.",
""
],
[
"Green",
"Michael D.",
""
],
[
"Morey",
"Jodin C.",
""
]
] | We investigate the scalar, gravitational, and electromagnetic quasinormal mode spectra of Schwarzschild anti-de Sitter black holes using the numerical continued fraction method. The spectra have similar, almost linear structures. With a few exceptions, the low overtone quasinormal modes are consistent with previously o... |
1508.03615 | Juliano Neves | J. C. S. Neves | Note on regular black holes in a brane world | 5 pages, version accepted in PRD with two new subsections | Phys. Rev. D 92, 084015 (2015) | 10.1103/PhysRevD.92.084015 | null | gr-qc astro-ph.HE hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we show that regular black holes in a Randall-Sundrum-type
brane world model are generated by the nonlocal bulk influence, expressed by a
constant parameter in the brane metric, only in the spherical case. In the
axial case (black holes with rotation), this influence forbids them. A
nonconstant bulk inf... | [
{
"created": "Fri, 14 Aug 2015 19:36:58 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Oct 2015 18:49:15 GMT",
"version": "v2"
}
] | 2015-10-07 | [
[
"Neves",
"J. C. S.",
""
]
] | In this work, we show that regular black holes in a Randall-Sundrum-type brane world model are generated by the nonlocal bulk influence, expressed by a constant parameter in the brane metric, only in the spherical case. In the axial case (black holes with rotation), this influence forbids them. A nonconstant bulk influ... |
1508.05041 | Titus K Mathew | Rajagopalan Nair K. and Titus K. Mathew | Bulk viscous Zel'dovich fluid model and it's asymptotic behavior | 14 pages, eight figures | null | null | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we have considered a flat FLRW universe with bulk viscous
Zel'dovich as the cosmic component. Being considered the bulk viscosity as per
the Eckart formalism, we have analyzed the evolution of the Hubble parameter
and constrained the model with the Type Ia Supernovae data thus extracting the
constant bu... | [
{
"created": "Thu, 20 Aug 2015 16:51:44 GMT",
"version": "v1"
}
] | 2015-08-21 | [
[
"K.",
"Rajagopalan Nair",
""
],
[
"Mathew",
"Titus K.",
""
]
] | In this paper we have considered a flat FLRW universe with bulk viscous Zel'dovich as the cosmic component. Being considered the bulk viscosity as per the Eckart formalism, we have analyzed the evolution of the Hubble parameter and constrained the model with the Type Ia Supernovae data thus extracting the constant bulk... |
gr-qc/9811008 | Guglielmo Tino | Bruno Preziosi (Dipartimento di Scienze Fisiche - Universita' Federico
II di Napoli, INFM) | A note on light velocity anisotropy | 8 pages, LaTex, Gen. Relat. Grav. accepted | Gen.Rel.Grav. 31 (1999) 157-163 | 10.1023/A:1018831924697 | DSF 40/98 | gr-qc | null | It is proved that in experiments on or near the Earth, no anisotropy in the
one-way velocity of light may be detected. The very accurate experiments which
have been performed to detect such an effect are to be considered significant
tests of both special relativity and the equivalence principle
| [
{
"created": "Tue, 3 Nov 1998 11:15:53 GMT",
"version": "v1"
}
] | 2015-06-25 | [
[
"Preziosi",
"Bruno",
"",
"Dipartimento di Scienze Fisiche - Universita' Federico\n II di Napoli, INFM"
]
] | It is proved that in experiments on or near the Earth, no anisotropy in the one-way velocity of light may be detected. The very accurate experiments which have been performed to detect such an effect are to be considered significant tests of both special relativity and the equivalence principle |
2407.08774 | Marcelo E. Rubio | Marcelo E. Rubio, Guillermo Lara, Miguel Bezares, Marco Crisostomi,
Enrico Barausse | Fixing the dynamical evolution of self-interacting vector fields | 13 pages, 6 figures | null | null | null | gr-qc | http://creativecommons.org/licenses/by/4.0/ | Numerical simulations of the Cauchy problem for self-interacting massive
vector fields often face instabilities and apparent pathologies. We explicitly
demonstrate that these issues, previously reported in the literature, are
actually due to the breakdown of the well-posedness of the initial-value
problem. This is ak... | [
{
"created": "Thu, 11 Jul 2024 18:00:01 GMT",
"version": "v1"
}
] | 2024-07-15 | [
[
"Rubio",
"Marcelo E.",
""
],
[
"Lara",
"Guillermo",
""
],
[
"Bezares",
"Miguel",
""
],
[
"Crisostomi",
"Marco",
""
],
[
"Barausse",
"Enrico",
""
]
] | Numerical simulations of the Cauchy problem for self-interacting massive vector fields often face instabilities and apparent pathologies. We explicitly demonstrate that these issues, previously reported in the literature, are actually due to the breakdown of the well-posedness of the initial-value problem. This is akin... |
gr-qc/9207009 | Neil Cornish | J. W. Moffat and D. C. Tatarski | Gravitational Waves from an Axi-symmetric Source in the Nonsymmetric
Grav. Theory | 26 pages | null | null | UTPT-92-01 | gr-qc | null | We examine gravitational waves in an isolated axi--symmetric reflexion
symmetric NGT system. The structure of the vacuum field equations is analyzed
and the exact solutions for the field variables in the metric tensor are found
in the form of expansions in powers of a radial coordinate. We find that in the
NGT axiall... | [
{
"created": "Mon, 27 Jul 1992 18:12:25 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Moffat",
"J. W.",
""
],
[
"Tatarski",
"D. C.",
""
]
] | We examine gravitational waves in an isolated axi--symmetric reflexion symmetric NGT system. The structure of the vacuum field equations is analyzed and the exact solutions for the field variables in the metric tensor are found in the form of expansions in powers of a radial coordinate. We find that in the NGT axially ... |
2103.07473 | Aaron Held | Astrid Eichhorn and Aaron Held | Image features of spinning regular black holes based on a locality
principle | 7 pages including 3 figures and references | null | 10.1140/epjc/s10052-021-09716-2 | Imperial/TP/2021/AH/01 | gr-qc astro-ph.HE | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | To understand the true nature of black holes, fundamental theoretical
developments should be linked all the way to observational features of black
holes in their natural astrophysical environments. Here, we take several steps
to establish such a link. We construct a family of spinning, regular black-hole
spacetimes b... | [
{
"created": "Fri, 12 Mar 2021 19:00:00 GMT",
"version": "v1"
}
] | 2021-11-10 | [
[
"Eichhorn",
"Astrid",
""
],
[
"Held",
"Aaron",
""
]
] | To understand the true nature of black holes, fundamental theoretical developments should be linked all the way to observational features of black holes in their natural astrophysical environments. Here, we take several steps to establish such a link. We construct a family of spinning, regular black-hole spacetimes bas... |
gr-qc/0206049 | Toyoki Matsuyama | M. Kenmoku, S. Uchida and T. Matsuyama | Conical Singular Solutions in (2+1)-Dimensional Gravity Employing the
ADM Canonical Formalism | 15 pages, 3 figures | Int.J.Mod.Phys. D12 (2003) 677-687 | 10.1142/S021827180300313X | null | gr-qc | null | Topological solutions in the (2+1)-dimensional Einstein theory of gravity are
studied within the ADM canonical formalism. It is found that a conical
singularity appears in the closed de Sitter universe solution as a topological
defect in the case of the Einstein theory with a cosmological constant. Quantum
effects on... | [
{
"created": "Tue, 18 Jun 2002 10:21:31 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Kenmoku",
"M.",
""
],
[
"Uchida",
"S.",
""
],
[
"Matsuyama",
"T.",
""
]
] | Topological solutions in the (2+1)-dimensional Einstein theory of gravity are studied within the ADM canonical formalism. It is found that a conical singularity appears in the closed de Sitter universe solution as a topological defect in the case of the Einstein theory with a cosmological constant. Quantum effects on t... |
1209.5042 | Vasudev Shyam S | Vasudev Shyam and Madhavan Venkatesh | The Canonical Lagrangian Approach To Three-Space General Relativity | 12 pages, 4 figures, modified in accordance with reviewers' comments.
Accepted for publication in General Relativity and Gravitation | General Relativity and Gravitation, April 2013 | 10.1007/s10714-013-1530-0 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the action for the three-space formalism of General Relativity,
better known as the BF\'O (Barbour--Foster--\'O Murchadha) action, which is a
square-root BSW (Baierlein--Sharp--Wheeler) action. In particular, we explore
the (pre)symplectic structure by pulling it back via a Legendre map to the
tangent bundle... | [
{
"created": "Sun, 23 Sep 2012 09:31:18 GMT",
"version": "v1"
},
{
"created": "Thu, 29 Nov 2012 13:22:05 GMT",
"version": "v2"
},
{
"created": "Sun, 24 Mar 2013 00:58:16 GMT",
"version": "v3"
}
] | 2013-04-15 | [
[
"Shyam",
"Vasudev",
""
],
[
"Venkatesh",
"Madhavan",
""
]
] | We study the action for the three-space formalism of General Relativity, better known as the BF\'O (Barbour--Foster--\'O Murchadha) action, which is a square-root BSW (Baierlein--Sharp--Wheeler) action. In particular, we explore the (pre)symplectic structure by pulling it back via a Legendre map to the tangent bundle o... |
0807.2439 | Merab Gogberashvili Dr | Merab Gogberashvili | 'Universal' FitzGerald Contractions | The version accepted by Eur. Phys. J. C | null | 10.1140/epjc/s10052-009-1108-x | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The model of a universe with a preferred frame, which nevertheless shares the
main properties with traditional special and general relativity theories, is
considered. We adopt Mach's interpretation of inertia and show that the energy
balance equation, which includes the Machian energy of gravitational
interactions wi... | [
{
"created": "Tue, 15 Jul 2008 19:56:33 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Jul 2009 04:58:28 GMT",
"version": "v2"
}
] | 2015-05-13 | [
[
"Gogberashvili",
"Merab",
""
]
] | The model of a universe with a preferred frame, which nevertheless shares the main properties with traditional special and general relativity theories, is considered. We adopt Mach's interpretation of inertia and show that the energy balance equation, which includes the Machian energy of gravitational interactions with... |
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