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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2106.03672 | Joao Paulo Morais Graca | P. H. Morais, G. V. Silva, J. P. Morais Gra\c{c}a and V. B. Bezerra | Thermodynamics and remnants of Kiselev black holes in Rainbow gravity | null | null | 10.1007/s10714-021-02897-x | null | gr-qc | http://creativecommons.org/licenses/by/4.0/ | We do a detailed study of the thermodynamics of black holes in Rainbow
gravity in the framework of the Kiselev metric, taking into account different
cosmic fluids which can mimic several kinds of dark energy scenarios. A
discussion related to the appearance of black hole remnants is presented and,
unlike other studie... | [
{
"created": "Mon, 7 Jun 2021 14:52:51 GMT",
"version": "v1"
}
] | 2022-02-09 | [
[
"Morais",
"P. H.",
""
],
[
"Silva",
"G. V.",
""
],
[
"Graça",
"J. P. Morais",
""
],
[
"Bezerra",
"V. B.",
""
]
] | We do a detailed study of the thermodynamics of black holes in Rainbow gravity in the framework of the Kiselev metric, taking into account different cosmic fluids which can mimic several kinds of dark energy scenarios. A discussion related to the appearance of black hole remnants is presented and, unlike other studies ... |
2211.06340 | Donato Bini | Donato Bini, Thibault Damour | Radiation-reaction and angular momentum loss at the second
Post-Minkowskian order | 18 pages, 2 eps figures | null | 10.1103/PhysRevD.106.124049 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We compute the variation of the Fokker-Wheeler-Feynman total linear and
angular momentum of a gravitationally interacting binary system under the
second post-Minkowskian retarded dynamics. The resulting $O(G^2)$
equations-of-motion-based, total change in the system's angular momentum is
found to agree with existing c... | [
{
"created": "Fri, 11 Nov 2022 16:39:11 GMT",
"version": "v1"
}
] | 2023-01-11 | [
[
"Bini",
"Donato",
""
],
[
"Damour",
"Thibault",
""
]
] | We compute the variation of the Fokker-Wheeler-Feynman total linear and angular momentum of a gravitationally interacting binary system under the second post-Minkowskian retarded dynamics. The resulting $O(G^2)$ equations-of-motion-based, total change in the system's angular momentum is found to agree with existing com... |
1106.0627 | Pieter Miedema | P.G.Miedema | Relativistic Cosmological Perturbation Theory and the Evolution of
Small-Scale Inhomogeneities | 37 pages including Maxima CAS files and R file. Textual improvements.
Section VI on the standard Newtonian perturbation equation rewritten.
Conclusions unchanged. Any comments, reviews, critiques, or objections are
invited and should be send to the author by e-mail | null | null | null | gr-qc astro-ph.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is shown that a first-order relativistic perturbation theory for the open,
flat or closed Friedmann-Lemaitre-Robertson-Walker universe admits one, and
only one, gauge-invariant quantity which describes the perturbation to the
energy density and which becomes equal to the usual Newtonian energy density in
the non-r... | [
{
"created": "Fri, 3 Jun 2011 12:57:00 GMT",
"version": "v1"
},
{
"created": "Tue, 31 Jan 2012 16:02:41 GMT",
"version": "v2"
},
{
"created": "Mon, 2 Jul 2012 06:36:27 GMT",
"version": "v3"
},
{
"created": "Mon, 8 Jul 2013 14:21:00 GMT",
"version": "v4"
},
{
"crea... | 2014-03-25 | [
[
"Miedema",
"P. G.",
""
]
] | It is shown that a first-order relativistic perturbation theory for the open, flat or closed Friedmann-Lemaitre-Robertson-Walker universe admits one, and only one, gauge-invariant quantity which describes the perturbation to the energy density and which becomes equal to the usual Newtonian energy density in the non-rel... |
gr-qc/9801030 | Hagen Kleinert | H. Kleinert and A. Pelster | Novel Geometric Gauge Invariance of Autoparallels | Corrected typos. Author Information under
http://www.physik.fu-berlin.de/~kleinert/institution.html . Paper also at
http://www.physik.fu-berlin.de/~kleinert/kleiner_re262/preprint.html fuer
Theoretische Physik | Acta Phys.Polon.B29:1015,1998 | null | null | gr-qc | null | We draw attention to a novel type of geometric gauge invariance relating the
autoparallel equations of motion in different Riemann-Cartan spacetimes with
each other. The novelty lies in the fact that the equations of motion are
invariant even though the actions are not. As an application we use this gauge
transformat... | [
{
"created": "Sat, 10 Jan 1998 16:48:36 GMT",
"version": "v1"
},
{
"created": "Thu, 15 Jan 1998 07:02:19 GMT",
"version": "v2"
}
] | 2011-03-17 | [
[
"Kleinert",
"H.",
""
],
[
"Pelster",
"A.",
""
]
] | We draw attention to a novel type of geometric gauge invariance relating the autoparallel equations of motion in different Riemann-Cartan spacetimes with each other. The novelty lies in the fact that the equations of motion are invariant even though the actions are not. As an application we use this gauge transformatio... |
gr-qc/0502084 | Nail Khusnutdinov | S. V. Sushkov | Wormholes supported by a phantom energy | 4 figures, accepted in PRD | Phys.Rev. D71 (2005) 043520 | 10.1103/PhysRevD.71.043520 | null | gr-qc | null | We extend the notion of phantom energy--which is generally accepted for
homogeneously distributed matter with $w<-1$ in the universe--on inhomogeneous
spherically symmetric spacetime configurations. A spherically symmetric
distribution of phantom energy is shown to be able to support the existence of
static wormholes... | [
{
"created": "Mon, 21 Feb 2005 13:11:39 GMT",
"version": "v1"
}
] | 2009-11-11 | [
[
"Sushkov",
"S. V.",
""
]
] | We extend the notion of phantom energy--which is generally accepted for homogeneously distributed matter with $w<-1$ in the universe--on inhomogeneous spherically symmetric spacetime configurations. A spherically symmetric distribution of phantom energy is shown to be able to support the existence of static wormholes. ... |
2305.07306 | Piotr T. Chru\'sciel | Piotr T. Chrusciel, Roger Tagne Wafo and Finnian Gray | The "neighborhood theorem" for the general relativistic characteristic
Cauchy problem in higher dimension | The same result has already been established in [13]. arXiv admin
note: text overlap with arXiv:1406.3009 | null | null | UWThPh-2023-15 | gr-qc math.DG | http://creativecommons.org/licenses/by-nc-nd/4.0/ | We show that the maximal globally hyperbolic solution of the initial-value
problem for the higher-dimensional vacuum Einstein equations on two
transversally intersecting characteristic hypersurfaces contains a future
neighborhood of the hypersurfaces.
| [
{
"created": "Fri, 12 May 2023 08:25:16 GMT",
"version": "v1"
}
] | 2023-05-15 | [
[
"Chrusciel",
"Piotr T.",
""
],
[
"Wafo",
"Roger Tagne",
""
],
[
"Gray",
"Finnian",
""
]
] | We show that the maximal globally hyperbolic solution of the initial-value problem for the higher-dimensional vacuum Einstein equations on two transversally intersecting characteristic hypersurfaces contains a future neighborhood of the hypersurfaces. |
gr-qc/0402054 | D. F. Mota | Yves Gaspar | Time Asymmetry and Chaos in General Relativity | Latex, 14 pages, no figures. Submitted to Gen. Rel. Grav | Gen.Rel.Grav.36:2085-2094,2004 | 10.1023/B:GERG.0000038473.76575.b0 | null | gr-qc | null | In this work the late-time evolution of Bianchi type $VIII$ models is
discussed. These cosmological models exhibit a chaotic behaviour towards the
initial singularity and our investigations show that towards the future, far
from the initial singularity, these models have a non-chaotic evolution, even
in the case of v... | [
{
"created": "Thu, 12 Feb 2004 12:10:01 GMT",
"version": "v1"
}
] | 2014-11-17 | [
[
"Gaspar",
"Yves",
""
]
] | In this work the late-time evolution of Bianchi type $VIII$ models is discussed. These cosmological models exhibit a chaotic behaviour towards the initial singularity and our investigations show that towards the future, far from the initial singularity, these models have a non-chaotic evolution, even in the case of vac... |
1705.04191 | Haizhao Zhi | Haizhao Zhi | Behavior of vacuum and naked singularity under smooth gauge function in
Lyra geometry | 24 pages, 1 figures | Canadian Journal of Physics, Published on the web 9 January 2018 | 10.1139/cjp-2017-0681 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Lyra geometry is a conformal geometry originated from Weyl geometry. In this
article, we derive the exterior field equation under spherically symmetric
gauge function $x^0(r)$ and metric in Lyra geometry. When we impose a specific
form of the gauge function $x^0(r)$, the radial differential equation of the
metric com... | [
{
"created": "Wed, 10 May 2017 15:37:13 GMT",
"version": "v1"
},
{
"created": "Sat, 13 May 2017 05:13:03 GMT",
"version": "v2"
},
{
"created": "Wed, 19 Jul 2017 09:30:14 GMT",
"version": "v3"
},
{
"created": "Sun, 26 Nov 2017 12:56:40 GMT",
"version": "v4"
},
{
"c... | 2018-01-12 | [
[
"Zhi",
"Haizhao",
""
]
] | Lyra geometry is a conformal geometry originated from Weyl geometry. In this article, we derive the exterior field equation under spherically symmetric gauge function $x^0(r)$ and metric in Lyra geometry. When we impose a specific form of the gauge function $x^0(r)$, the radial differential equation of the metric compo... |
0906.3602 | Clifford M. Will | Adamantios Stavridis (Washington U. St. Louis) and Clifford M. Will
(Washington U. St. Louis & Institut d'Astrophysique de Paris) | Bounding the mass of the graviton with gravitational waves: Effect of
spin precessions in massive black hole binaries | 10 pages, 5 figures; version accepted for publication | Phys.Rev.D80:044002,2009 | 10.1103/PhysRevD.80.044002 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Observations of gravitational waves from massive binary black hole systems at
cosmological distances can be used to search for a dependence of the speed of
propagation of the waves on wavelength, and thereby to bound the mass of a
hypothetical graviton. We study the effects of precessions of the spins of the
black ho... | [
{
"created": "Fri, 19 Jun 2009 08:26:08 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Aug 2009 08:56:52 GMT",
"version": "v2"
}
] | 2009-09-02 | [
[
"Stavridis",
"Adamantios",
"",
"Washington U. St. Louis"
],
[
"Will",
"Clifford M.",
"",
"Washington U. St. Louis & Institut d'Astrophysique de Paris"
]
] | Observations of gravitational waves from massive binary black hole systems at cosmological distances can be used to search for a dependence of the speed of propagation of the waves on wavelength, and thereby to bound the mass of a hypothetical graviton. We study the effects of precessions of the spins of the black hole... |
1510.01351 | Irina Dymnikova | Irina Dymnikova and Maxim Khlopov | Regular black hole remnants and graviatoms with de Sitter interior as
heavy dark matter candidates probing inhomogeneity of early universe | 11 pages, 2 figures | International Journal of Modern Physics D Vol. 24, No. 11 (2015)
1545002 (special issue "Composite dark matter") | 10.1142/S0218271815450029 | null | gr-qc astro-ph.HE | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We address the question of regular primordial black holes with de Sitter
interior, their remnants and gravitational vacuum solitons G-lumps as heavy
dark matter candidates providing signatures for inhomogeneity of early
universe, which is severely constrained by the condition that the contribution
of these objects in... | [
{
"created": "Fri, 2 Oct 2015 11:45:13 GMT",
"version": "v1"
}
] | 2015-10-07 | [
[
"Dymnikova",
"Irina",
""
],
[
"Khlopov",
"Maxim",
""
]
] | We address the question of regular primordial black holes with de Sitter interior, their remnants and gravitational vacuum solitons G-lumps as heavy dark matter candidates providing signatures for inhomogeneity of early universe, which is severely constrained by the condition that the contribution of these objects in t... |
0912.0128 | Istv\'an R\'acz | Istvan Racz | Gravitational radiation and isotropic change of the spatial geometry | 15 pages | null | null | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | To simplify a number of considerations in the weak field approximation,
including the determination of the response of interferometric gravitational
wave detectors, the "transverse traceless" (TT) gauge is often used. While the
identification of the corresponding gauge invariant part of the metric
perturbations in th... | [
{
"created": "Tue, 1 Dec 2009 12:02:36 GMT",
"version": "v1"
}
] | 2009-12-02 | [
[
"Racz",
"Istvan",
""
]
] | To simplify a number of considerations in the weak field approximation, including the determination of the response of interferometric gravitational wave detectors, the "transverse traceless" (TT) gauge is often used. While the identification of the corresponding gauge invariant part of the metric perturbations in the ... |
2108.05012 | Shantanu Desai | Srinikitha Bhagvati, Shantanu Desai | Search for variability in Newton's constant using local gravitational
acceleration measurements | 8 pages, 4 figures | Class. Quantum Grav. 39, 017001 (2022) | 10.1088/1361-6382/ac3c8c | null | gr-qc astro-ph.CO astro-ph.IM | http://creativecommons.org/licenses/by/4.0/ | In a recent work, Dai (arXiv:2103.11157) searched for a variability in
Newton's constant $G$ using the IGETS based gravitational acceleration
measurements. However, this analysis, obtained from $\chi^2$ minimization, did
not incorporate the errors in the gravitational acceleration measurements. We
carry out a similar... | [
{
"created": "Wed, 11 Aug 2021 03:47:42 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Nov 2021 14:21:13 GMT",
"version": "v2"
}
] | 2021-12-14 | [
[
"Bhagvati",
"Srinikitha",
""
],
[
"Desai",
"Shantanu",
""
]
] | In a recent work, Dai (arXiv:2103.11157) searched for a variability in Newton's constant $G$ using the IGETS based gravitational acceleration measurements. However, this analysis, obtained from $\chi^2$ minimization, did not incorporate the errors in the gravitational acceleration measurements. We carry out a similar s... |
1403.2682 | Tim-Torben Paetz | Tim-Torben Paetz | Killing Initial Data on spacelike conformal boundaries | 27 pages | null | null | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We analyze Killing Initial Data on Cauchy surfaces in conformally rescaled
vacuum space-times satisfying Friedrich's conformal field equations. As an
application, we derive the KID equations on a spacelike $\mathcal{J}^-$.
| [
{
"created": "Tue, 11 Mar 2014 18:44:45 GMT",
"version": "v1"
}
] | 2014-03-12 | [
[
"Paetz",
"Tim-Torben",
""
]
] | We analyze Killing Initial Data on Cauchy surfaces in conformally rescaled vacuum space-times satisfying Friedrich's conformal field equations. As an application, we derive the KID equations on a spacelike $\mathcal{J}^-$. |
gr-qc/9610015 | Matthew S. Piper | W.B.Bonnor, M.S.Piper | Implosion of quadrupole gravitational waves | 7 pages LaTex | null | null | null | gr-qc | null | Einstein's vacuum equations are solved up to the second approximation for
imploding quadrupole gravitational waves. The implosion generates a black hole
singularity irrespective of the strength of the waves.
| [
{
"created": "Thu, 10 Oct 1996 10:21:52 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Bonnor",
"W. B.",
""
],
[
"Piper",
"M. S.",
""
]
] | Einstein's vacuum equations are solved up to the second approximation for imploding quadrupole gravitational waves. The implosion generates a black hole singularity irrespective of the strength of the waves. |
gr-qc/0202033 | Jiri Podolsky | J. Podolsky | Accelerating black holes in anti-de Sitter universe | 8 pages, 2 figures | Czech.J.Phys. 52 (2002) 1-10 | 10.1023/A:1013961411430 | null | gr-qc | null | A physical interpretation of the C-metric with a negative cosmological
constant $\Lambda$ is suggested. Using a convenient coordinate system it is
demonstrated that this class of exact solutions of Einstein's equations
describes uniformly accelerating (possibly charged) black holes in anti-de
Sitter universe. Main di... | [
{
"created": "Mon, 11 Feb 2002 14:44:02 GMT",
"version": "v1"
}
] | 2009-11-07 | [
[
"Podolsky",
"J.",
""
]
] | A physical interpretation of the C-metric with a negative cosmological constant $\Lambda$ is suggested. Using a convenient coordinate system it is demonstrated that this class of exact solutions of Einstein's equations describes uniformly accelerating (possibly charged) black holes in anti-de Sitter universe. Main diff... |
2003.00889 | Naveena Kumara A | A. Naveena Kumara, C.L. Ahmed Rizwan, Kartheek Hegde, Ajith K.M., Md
Sabir Ali | Microstructure and continuous phase transition of a regular Hayward
black hole in anti-de Sitter spacetime | 15 pages, 2 figures | PTEP 7 (2021) 073E01 | 10.1093/ptep/ptab065 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the phase transition of a regular Hayward-AdS black hole by
introducing a new order parameter, the potential conjugate to the magnetic
charge due to the non-linearly coupled electromagnetic field. We use Landau
continuous phase transition theory to discuss the van der Waals like critical
phenomena of the bla... | [
{
"created": "Mon, 2 Mar 2020 13:19:42 GMT",
"version": "v1"
}
] | 2021-08-10 | [
[
"Kumara",
"A. Naveena",
""
],
[
"Rizwan",
"C. L. Ahmed",
""
],
[
"Hegde",
"Kartheek",
""
],
[
"M.",
"Ajith K.",
""
],
[
"Ali",
"Md Sabir",
""
]
] | We study the phase transition of a regular Hayward-AdS black hole by introducing a new order parameter, the potential conjugate to the magnetic charge due to the non-linearly coupled electromagnetic field. We use Landau continuous phase transition theory to discuss the van der Waals like critical phenomena of the black... |
1605.03297 | Peter Hayman | C.P. Burgess, Jared J.H. Enns, Peter Hayman and Subodh P. Patil | Goldilocks Models of Higher-Dimensional Inflation (including modulus
stabilization) | 29 pages, 11 figures | JCAP 1608 (2016) 045 | 10.1088/1475-7516/2016/08/045 | null | gr-qc astro-ph.CO hep-ph hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We explore the mechanics of inflation in simplified extra-dimensional models
involving an inflaton interacting with the Einstein-Maxwell system in two extra
dimensions. The models are Goldilocks-like in that they are just complicated
enough to include a mechanism to stabilize the extra-dimensional size, yet
simple en... | [
{
"created": "Wed, 11 May 2016 06:26:26 GMT",
"version": "v1"
},
{
"created": "Thu, 12 May 2016 05:00:32 GMT",
"version": "v2"
},
{
"created": "Tue, 24 May 2016 20:13:32 GMT",
"version": "v3"
}
] | 2016-08-31 | [
[
"Burgess",
"C. P.",
""
],
[
"Enns",
"Jared J. H.",
""
],
[
"Hayman",
"Peter",
""
],
[
"Patil",
"Subodh P.",
""
]
] | We explore the mechanics of inflation in simplified extra-dimensional models involving an inflaton interacting with the Einstein-Maxwell system in two extra dimensions. The models are Goldilocks-like in that they are just complicated enough to include a mechanism to stabilize the extra-dimensional size, yet simple enou... |
gr-qc/0111016 | Carlo Rovelli | Michael Reisenberger, Carlo Rovelli | Spacetime states and covariant quantum theory | 20 pages, no figures. Revision: minor corrections and references
added | Phys.Rev. D65 (2002) 125016 | 10.1103/PhysRevD.65.125016 | null | gr-qc | null | In it's usual presentation, classical mechanics appears to give time a very
special role. But it is well known that mechanics can be formulated so as to
treat the time variable on the same footing as the other variables in the
extended configuration space. Such covariant formulations are natural for
relativistic grav... | [
{
"created": "Tue, 6 Nov 2001 18:16:53 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Mar 2002 11:09:01 GMT",
"version": "v2"
}
] | 2016-08-31 | [
[
"Reisenberger",
"Michael",
""
],
[
"Rovelli",
"Carlo",
""
]
] | In it's usual presentation, classical mechanics appears to give time a very special role. But it is well known that mechanics can be formulated so as to treat the time variable on the same footing as the other variables in the extended configuration space. Such covariant formulations are natural for relativistic gravit... |
1309.3213 | Alejandro Cabo | Alejandro Cabo Montes de Oca and Nana Geraldine Cabo-Bizet | Newton-like equations for a radiating particle | 18 pages, 7 figures | null | null | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Second order Newton equations of motion for a radiating particle are
presented. It is argued that the trajectories obeying them also satisfy the
Abraham-Lorentz-Dirac (ALD) equations for general 3D motions in the
non-relativistic and relativistic limits. The case of forces only depending of
the proper time is here co... | [
{
"created": "Thu, 12 Sep 2013 16:31:23 GMT",
"version": "v1"
}
] | 2013-09-13 | [
[
"de Oca",
"Alejandro Cabo Montes",
""
],
[
"Cabo-Bizet",
"Nana Geraldine",
""
]
] | Second order Newton equations of motion for a radiating particle are presented. It is argued that the trajectories obeying them also satisfy the Abraham-Lorentz-Dirac (ALD) equations for general 3D motions in the non-relativistic and relativistic limits. The case of forces only depending of the proper time is here cons... |
1812.02755 | Merced Montesinos | Merced Montesinos, Jorge Romero, Ricardo Escobedo, Mariano Celada | $SU(1,1)$ Barbero-like variables derived from Holst action | It matches published version | Phys. Rev. D 98, 124002 (2018) | 10.1103/PhysRevD.98.124002 | null | gr-qc hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We work on a spacetime manifold foliated by timelike leaves. In this setting,
we explore the solution of the second-class constraints arising during the
canonical analysis of the Holst action with a cosmological constant. The
solution is given in a manifestly Lorentz-covariant fashion, and the resulting
canonical for... | [
{
"created": "Thu, 6 Dec 2018 19:01:04 GMT",
"version": "v1"
}
] | 2018-12-10 | [
[
"Montesinos",
"Merced",
""
],
[
"Romero",
"Jorge",
""
],
[
"Escobedo",
"Ricardo",
""
],
[
"Celada",
"Mariano",
""
]
] | We work on a spacetime manifold foliated by timelike leaves. In this setting, we explore the solution of the second-class constraints arising during the canonical analysis of the Holst action with a cosmological constant. The solution is given in a manifestly Lorentz-covariant fashion, and the resulting canonical formu... |
1402.6904 | Tsuyoshi Houri | Kazuki Hinoue, Tsuyoshi Houri, Christina Rugina and Yukinori Yasui | General Wahlquist Metrics in All Dimensions | 14 pages, no figures, v2: references added, version to appear in
Phys. Rev. D | Phys. Rev. D 90, 024037 (2014) | 10.1103/PhysRevD.90.024037 | OCU-PHYS 398, RUP-14-3 | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is shown that the Wahlquist metric, which is a stationary, axially
symmetric perfect fluid solution with $\rho+3p=\text{const.}$, admits a rank-2
generalized closed conformal Killing-Yano tensor with a skew-symmetric torsion.
Taking advantage of the presence of such a tensor, we obtain a
higher-dimensional general... | [
{
"created": "Thu, 27 Feb 2014 13:46:42 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Jul 2014 00:54:23 GMT",
"version": "v2"
}
] | 2014-10-07 | [
[
"Hinoue",
"Kazuki",
""
],
[
"Houri",
"Tsuyoshi",
""
],
[
"Rugina",
"Christina",
""
],
[
"Yasui",
"Yukinori",
""
]
] | It is shown that the Wahlquist metric, which is a stationary, axially symmetric perfect fluid solution with $\rho+3p=\text{const.}$, admits a rank-2 generalized closed conformal Killing-Yano tensor with a skew-symmetric torsion. Taking advantage of the presence of such a tensor, we obtain a higher-dimensional generaliz... |
2102.02328 | Marcelo Oyarzo | Jos\'e Figueroa and Marcelo Oyarzo | Slowly rotating black holes modeled by Solv geometries | Proceeding SOCHIFI 2020 (Sociedad Chilena de F\'isica). 7 pages | null | null | null | gr-qc hep-th | http://creativecommons.org/licenses/by/4.0/ | We present a slowly rotating generalization of a black hole modeled by a Solv
horizon geometry, in five dimensional General Relativity. A separable ansatz
compatible with Einstein equations is proposed, which is integrated in terms of
hypergeometric and exponential functions. The solution highly simplifies after
requ... | [
{
"created": "Wed, 3 Feb 2021 23:09:07 GMT",
"version": "v1"
}
] | 2021-02-05 | [
[
"Figueroa",
"José",
""
],
[
"Oyarzo",
"Marcelo",
""
]
] | We present a slowly rotating generalization of a black hole modeled by a Solv horizon geometry, in five dimensional General Relativity. A separable ansatz compatible with Einstein equations is proposed, which is integrated in terms of hypergeometric and exponential functions. The solution highly simplifies after requir... |
0710.2171 | Charles Hellaby | Charles Hellaby, Andrzej Krasinski | Physical and Geometrical Interpretation of the epsilon <= 0 Szekeres
Models | REVTex, 21 pages, 10 figures | Phys.Rev.D77:023529,2008 | 10.1103/PhysRevD.77.023529 | uct-cosmology-2007-10-11-08-30 | gr-qc | null | We study the properties and behaviour of the quasi-pseudospherical and
quasi-planar Szekeres models, obtain the regularity conditions, and analyse
their consequences. The quantities associated with "radius" and "mass" in the
quasi-spherical case must be understood in a different way for these cases. The
models with p... | [
{
"created": "Thu, 11 Oct 2007 07:50:26 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Hellaby",
"Charles",
""
],
[
"Krasinski",
"Andrzej",
""
]
] | We study the properties and behaviour of the quasi-pseudospherical and quasi-planar Szekeres models, obtain the regularity conditions, and analyse their consequences. The quantities associated with "radius" and "mass" in the quasi-spherical case must be understood in a different way for these cases. The models with pse... |
2303.04640 | Mouhssine Koussour | N. Myrzakulov, M. Koussour and Dhruba Jyoti Gogoi | A New $Om(z)$ Diagnostic of Dark Energy in General Relativity Theory | The European Physical Journal C accepted version | Eur. Phys. J. C 83, 594 (2023) | 10.1140/epjc/s10052-023-11794-3 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we propose a new parametrization of dark energy based on the
$Om(z)$ diagnostic tool behavior. For this purpose, we investigate a functional
form of the $Om(z)$ that predicts the popular dark energy dynamical models,
namely phantom and quintessence. We also found the famous cosmological constant
for sp... | [
{
"created": "Wed, 8 Mar 2023 14:58:11 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Mar 2023 12:34:39 GMT",
"version": "v2"
},
{
"created": "Wed, 5 Jul 2023 08:45:28 GMT",
"version": "v3"
}
] | 2023-07-13 | [
[
"Myrzakulov",
"N.",
""
],
[
"Koussour",
"M.",
""
],
[
"Gogoi",
"Dhruba Jyoti",
""
]
] | In this paper, we propose a new parametrization of dark energy based on the $Om(z)$ diagnostic tool behavior. For this purpose, we investigate a functional form of the $Om(z)$ that predicts the popular dark energy dynamical models, namely phantom and quintessence. We also found the famous cosmological constant for spec... |
1208.3335 | Deepak Vaid | Deepak Vaid | Quantum Hall Effect and Black Hole Entropy in Loop Quantum Gravity | 24 pages, 7 figures; comments welcome | null | null | null | gr-qc hep-th | http://creativecommons.org/licenses/by-nc-sa/3.0/ | In LQG, black hole horizons are described by 2+1 dimensional boundaries of a
bulk 3+1 dimensional spacetime. The horizon is endowed with area by lines of
gravitational flux which pierce the surface. As is well known, counting of the
possible states associated with a given set of punctures allows us to recover
the fam... | [
{
"created": "Thu, 16 Aug 2012 10:30:10 GMT",
"version": "v1"
}
] | 2012-08-17 | [
[
"Vaid",
"Deepak",
""
]
] | In LQG, black hole horizons are described by 2+1 dimensional boundaries of a bulk 3+1 dimensional spacetime. The horizon is endowed with area by lines of gravitational flux which pierce the surface. As is well known, counting of the possible states associated with a given set of punctures allows us to recover the famou... |
2109.02170 | Valerio De Luca | Susanna Barsanti, Valerio De Luca, Andrea Maselli, Paolo Pani | Detecting Subsolar-Mass Primordial Black Holes in Extreme Mass-Ratio
Inspirals with LISA and Einstein Telescope | 7 pages, 2 figures. v2: matching version to appear in PRL | null | 10.1103/PhysRevLett.128.111104 | null | gr-qc astro-ph.CO hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Primordial black holes possibly formed in the early universe could provide a
significant fraction of the dark matter and would be unique probes of
inflation. A smoking gun for their discovery would be the detection of a
subsolar mass compact object. We argue that extreme mass-ratio inspirals will
be ideal to search f... | [
{
"created": "Sun, 5 Sep 2021 21:33:57 GMT",
"version": "v1"
},
{
"created": "Tue, 1 Mar 2022 16:29:57 GMT",
"version": "v2"
}
] | 2022-04-06 | [
[
"Barsanti",
"Susanna",
""
],
[
"De Luca",
"Valerio",
""
],
[
"Maselli",
"Andrea",
""
],
[
"Pani",
"Paolo",
""
]
] | Primordial black holes possibly formed in the early universe could provide a significant fraction of the dark matter and would be unique probes of inflation. A smoking gun for their discovery would be the detection of a subsolar mass compact object. We argue that extreme mass-ratio inspirals will be ideal to search for... |
gr-qc/9708044 | null | Pedro F. Gonzalez-Diaz | Observable effects from spacetime tunneling | 5 pages, RevTex, 2 figures (available upon request), to appear in
Phys. Rev. D | Phys.Rev. D56 (1997) 6293-6297 | 10.1103/PhysRevD.56.6293 | IMAFF-RCA-97-06 | gr-qc astro-ph | null | Assuming that spacetime tunnels -wormholes and ringholes- naturally exist in
the universe, we investigate the conditions making them embeddible in Friedmann
space, and the possible observable effects of these tunnels, including: lensing
and frequency-shifting of emitting sources, discontinuous change of background
te... | [
{
"created": "Tue, 19 Aug 1997 18:38:48 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Gonzalez-Diaz",
"Pedro F.",
""
]
] | Assuming that spacetime tunnels -wormholes and ringholes- naturally exist in the universe, we investigate the conditions making them embeddible in Friedmann space, and the possible observable effects of these tunnels, including: lensing and frequency-shifting of emitting sources, discontinuous change of background temp... |
2305.06834 | Jens Boos | Jens Boos | Black hole entropy contributions from Euclidean cores | Essay written for the Gravity Research Foundation 2023 Awards for
Essays on Gravitation; awarded an Honorable Mention; 7 pages | Int. J. Mod. Phys. D 32, 2342011 (2023) | 10.1142/S0218271823420117 | null | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The entropy of a Schwarzschild black hole, as computed via the semiclassical
Euclidean path integral in a stationary phase approximation, is determined not
by the on-shell value of the action (which vanishes), but by the
Gibbons--Hawking--York boundary term evaluated on a suitable hypersurface,
which can be chosen ar... | [
{
"created": "Thu, 11 May 2023 14:26:52 GMT",
"version": "v1"
}
] | 2023-12-19 | [
[
"Boos",
"Jens",
""
]
] | The entropy of a Schwarzschild black hole, as computed via the semiclassical Euclidean path integral in a stationary phase approximation, is determined not by the on-shell value of the action (which vanishes), but by the Gibbons--Hawking--York boundary term evaluated on a suitable hypersurface, which can be chosen arbi... |
1712.10175 | Kimet Jusufi | Kimet Jusufi, Nayan Sarkar, Farook Rahaman, Ayan Banerjee, Sudan
Hansraj | Deflection of light by black holes and massless wormholes in massive
gravity | 21 pages, 3 figures, accepted for publication in European Physical
Journal C | Eur. Phys. J. C (2018) 78: 349 | 10.1140/epjc/s10052-018-5823-z | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Weak gravitational lensing by black holes and wormholes in the context of
massive gravity (Bebronne and Tinyakov 2009) theory is studied. The particular
solution examined is characterized by two integration constants, the mass $M$
and an extra parameter $S$ namely `scalar charge'. These black hole reduce to
the stand... | [
{
"created": "Fri, 29 Dec 2017 10:40:48 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Apr 2018 11:32:33 GMT",
"version": "v2"
}
] | 2018-05-01 | [
[
"Jusufi",
"Kimet",
""
],
[
"Sarkar",
"Nayan",
""
],
[
"Rahaman",
"Farook",
""
],
[
"Banerjee",
"Ayan",
""
],
[
"Hansraj",
"Sudan",
""
]
] | Weak gravitational lensing by black holes and wormholes in the context of massive gravity (Bebronne and Tinyakov 2009) theory is studied. The particular solution examined is characterized by two integration constants, the mass $M$ and an extra parameter $S$ namely `scalar charge'. These black hole reduce to the standar... |
0707.0585 | Sergei Maydanyuk | Sergei P. Maydanyuk | Wave function of the Universe in the early stage of its evolution | 19 pages, 21 files for 10 EPS figures, LaTeX svjour style. The Sec.2
(formalism of Wheeler-De Witt equation) is reduced. In Sec.3.1 definition of
the outgoing wave from barrier is defined more accurately. In Sec.4.1
semiclassical calculations of wavew function and penetrability are performed
and comparison with... | Eur.Phys.J.C57:769-784,2008 | 10.1140/epjc/s10052-008-0723-2 | null | gr-qc astro-ph hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In quantum cosmological models, constructed in the framework of
Friedmann-Robertson-Walker metrics, a nucleation of the Universe with its
further expansion is described as a tunneling transition through an effective
barrier between regions with small and large values of the scale factor $a$ at
non-zero (or zero) ener... | [
{
"created": "Wed, 4 Jul 2007 15:38:16 GMT",
"version": "v1"
},
{
"created": "Mon, 18 Aug 2008 07:13:20 GMT",
"version": "v2"
},
{
"created": "Fri, 28 Nov 2008 08:33:21 GMT",
"version": "v3"
}
] | 2008-12-18 | [
[
"Maydanyuk",
"Sergei P.",
""
]
] | In quantum cosmological models, constructed in the framework of Friedmann-Robertson-Walker metrics, a nucleation of the Universe with its further expansion is described as a tunneling transition through an effective barrier between regions with small and large values of the scale factor $a$ at non-zero (or zero) energy... |
1301.5218 | Alexander Zhuk | Alexey Chopovsky, Maxim Eingorn and Alexander Zhuk | Many-body problem in Kaluza-Klein models: theory and observational
consequences | Eqs. (16), (21), (23) and (24) corrected. Title, abstract,
introduction and conclusions changed. New section and references added. arXiv
admin note: substantial text overlap with arXiv:1302.0501 | null | null | null | gr-qc astro-ph.HE hep-ph hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a system of gravitating bodies in Kaluza-Klein models with
toroidal compactification of extra dimensions. To simulate the astrophysical
objects (e.g., our Sun and pulsars) with the energy density much greater than
the pressure, we suppose that these bodies are pressureless in the external/our
space. At th... | [
{
"created": "Tue, 22 Jan 2013 16:04:16 GMT",
"version": "v1"
},
{
"created": "Mon, 17 Jun 2013 18:26:28 GMT",
"version": "v2"
}
] | 2013-06-18 | [
[
"Chopovsky",
"Alexey",
""
],
[
"Eingorn",
"Maxim",
""
],
[
"Zhuk",
"Alexander",
""
]
] | We consider a system of gravitating bodies in Kaluza-Klein models with toroidal compactification of extra dimensions. To simulate the astrophysical objects (e.g., our Sun and pulsars) with the energy density much greater than the pressure, we suppose that these bodies are pressureless in the external/our space. At the ... |
gr-qc/0210092 | Piotr Chrusciel | Piotr T. Chrusciel | On solutions of the vacuum Einstein equation in the radiation regime | to appear in the proceedings of the Elba Conference in memory of
A.Lichnerowicz, June 2002 | null | null | null | gr-qc | null | We review recent results by the author, in collaboration with Erwann Delay,
Olivier Lengard, and Rafe Mazzeo, on existence and properties of space-times
with controlled asymptotic behavior at null infinity.
| [
{
"created": "Sun, 27 Oct 2002 10:15:17 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Chrusciel",
"Piotr T.",
""
]
] | We review recent results by the author, in collaboration with Erwann Delay, Olivier Lengard, and Rafe Mazzeo, on existence and properties of space-times with controlled asymptotic behavior at null infinity. |
0806.2180 | Sergio Dain | Sergio Dain and Mar\'ia E. Gabach Cl\'ement | Extreme Bowen-York initial data | 21 pages | Class.Quant.Grav.26:035020,2009 | 10.1088/0264-9381/26/3/035020 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Bowen-York family of spinning black hole initial data depends essentially
on one, positive, free parameter. The extreme limit corresponds to making this
parameter equal to zero. This choice represents a singular limit for the
constraint equations. We prove that in this limit a new solution of the
constraint equat... | [
{
"created": "Fri, 13 Jun 2008 15:10:27 GMT",
"version": "v1"
}
] | 2009-01-27 | [
[
"Dain",
"Sergio",
""
],
[
"Clément",
"María E. Gabach",
""
]
] | The Bowen-York family of spinning black hole initial data depends essentially on one, positive, free parameter. The extreme limit corresponds to making this parameter equal to zero. This choice represents a singular limit for the constraint equations. We prove that in this limit a new solution of the constraint equatio... |
1502.03000 | Rex Liu | Rex G. Liu and Ruth M. Williams | Regge calculus models of closed lattice universes | 34 pages, 9 figures. Expanded Introduction: elaborated on
cosmological context for work and referenced recent work on studying lattice
universes using a wide variety of approaches. Corrected an error in the LW
graphs in Fig 3 | Phys. Rev. D 93, 023502 (2016) | 10.1103/PhysRevD.93.023502 | null | gr-qc astro-ph.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper examines the behaviour of closed `lattice universes' wherein
masses are distributed in a regular lattice on the Cauchy surfaces of closed
vacuum universes. Such universes are approximated using a form of Regge
calculus originally developed by Collins and Williams to model closed FLRW
universes. We consider... | [
{
"created": "Tue, 10 Feb 2015 17:23:47 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Jun 2015 15:59:53 GMT",
"version": "v2"
}
] | 2016-01-13 | [
[
"Liu",
"Rex G.",
""
],
[
"Williams",
"Ruth M.",
""
]
] | This paper examines the behaviour of closed `lattice universes' wherein masses are distributed in a regular lattice on the Cauchy surfaces of closed vacuum universes. Such universes are approximated using a form of Regge calculus originally developed by Collins and Williams to model closed FLRW universes. We consider t... |
0811.1132 | Haryanto Siahaan Mangaratua | Haryanto M. Siahaan and Triyanta | Hawking Radiation from a Vaidya Black Hole: A Semi-Classical Approach
and Beyond | Corrected version of presented talk at 2nd ICMNS (October 28, 2008),
Bandung, Indonesia. 13 pages, jhep style, v4: some minor corrections,
references added | null | null | null | gr-qc | http://creativecommons.org/licenses/publicdomain/ | We derive the Hawking radiation for Vaidya black hole in the tunneling
picture from the corresponding single particle action by the use of the radial
null geodesic and the Hamilton-Jacobi method (beyond semi-classical
approximation). Both results are then analyzed and compared.
| [
{
"created": "Fri, 7 Nov 2008 12:33:51 GMT",
"version": "v1"
},
{
"created": "Sat, 8 Nov 2008 14:00:36 GMT",
"version": "v2"
},
{
"created": "Wed, 12 Nov 2008 03:54:54 GMT",
"version": "v3"
},
{
"created": "Wed, 19 Nov 2008 11:17:52 GMT",
"version": "v4"
}
] | 2008-11-19 | [
[
"Siahaan",
"Haryanto M.",
""
],
[
"Triyanta",
"",
""
]
] | We derive the Hawking radiation for Vaidya black hole in the tunneling picture from the corresponding single particle action by the use of the radial null geodesic and the Hamilton-Jacobi method (beyond semi-classical approximation). Both results are then analyzed and compared. |
1907.10546 | Martin Pernot-Borr\`as | Martin Pernot-Borr\`as, Joel Berg\'e, Philippe Brax, Jean-Philippe
Uzan | A general study of chameleon fifth force in gravity space experiments | Submitted to Phys. Rev. D | Phys. Rev. D 100, 084006 (2019) | 10.1103/PhysRevD.100.084006 | null | gr-qc astro-ph.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This article investigates the profile of the scalar field of a scalar-tensor
theory subject to the chameleon mechanism in the context of gravity space
missions like the MICROSCOPE experiment. It analyses the experimental
situations for models with an inverse power law potential that can in principle
induce a fifth fo... | [
{
"created": "Wed, 24 Jul 2019 16:29:41 GMT",
"version": "v1"
}
] | 2019-10-09 | [
[
"Pernot-Borràs",
"Martin",
""
],
[
"Bergé",
"Joel",
""
],
[
"Brax",
"Philippe",
""
],
[
"Uzan",
"Jean-Philippe",
""
]
] | This article investigates the profile of the scalar field of a scalar-tensor theory subject to the chameleon mechanism in the context of gravity space missions like the MICROSCOPE experiment. It analyses the experimental situations for models with an inverse power law potential that can in principle induce a fifth forc... |
1609.06383 | M. D. Maia | M.D. Maia, Ivan S. Ferreira, Claudio M. G. Sousa, Nadja S. Magalhaes
and Carlos Frajuca | Omnidirectional Gravitational Wave Detector with a Laser-Interferometric
Gravitational Compass | 6 pages 2 figures | null | null | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Based on the Szekeres-Pirani gravitational compass we suggest the addition of
a fourth, non-coplanar mass/mirror to the presently existing laser based
gravitational wave observatories, enabling them to operate omnidirectionally,
to filter out ambiguous interpretations and to point out the direction of the
gravitation... | [
{
"created": "Tue, 20 Sep 2016 23:27:36 GMT",
"version": "v1"
}
] | 2016-09-22 | [
[
"Maia",
"M. D.",
""
],
[
"Ferreira",
"Ivan S.",
""
],
[
"Sousa",
"Claudio M. G.",
""
],
[
"Magalhaes",
"Nadja S.",
""
],
[
"Frajuca",
"Carlos",
""
]
] | Based on the Szekeres-Pirani gravitational compass we suggest the addition of a fourth, non-coplanar mass/mirror to the presently existing laser based gravitational wave observatories, enabling them to operate omnidirectionally, to filter out ambiguous interpretations and to point out the direction of the gravitational... |
1509.03827 | Hernando Quevedo | K. Boshkayev, E. Gasperin, A. C. Gutierrez-Pineres, H. Quevedo and S.
Toktarbay | Motion of test particles in the field of a naked singularity | Corrected typos | Phys. Rev. D 93, 024024 (2016) | 10.1103/PhysRevD.93.024024 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the motion of test particles in the gravitational field of a
static naked singularity generated by a mass distribution with quadrupole
moment. We use the quadrupole-metric ($q-$metric) which is the simplest
generalization of the Schwarzschild metric with a quadrupole parameter. We
study the influence o... | [
{
"created": "Sun, 13 Sep 2015 09:28:22 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Nov 2015 05:04:49 GMT",
"version": "v2"
}
] | 2016-01-20 | [
[
"Boshkayev",
"K.",
""
],
[
"Gasperin",
"E.",
""
],
[
"Gutierrez-Pineres",
"A. C.",
""
],
[
"Quevedo",
"H.",
""
],
[
"Toktarbay",
"S.",
""
]
] | We investigate the motion of test particles in the gravitational field of a static naked singularity generated by a mass distribution with quadrupole moment. We use the quadrupole-metric ($q-$metric) which is the simplest generalization of the Schwarzschild metric with a quadrupole parameter. We study the influence of ... |
1809.02071 | Martin Lesourd Mr | Martin Lesourd | Cosmological singularities from high matter density without global
topological assumptions | null | null | 10.1007/s10714-019-2590-6 | null | gr-qc math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Cosmological singularity theorems such as that of Hawking and Penrose assume
local curvature conditions as well as global ones like the existence of a
compact (achronal) slice. Here, we prove a new singularity theorem for
chronological spacetimes that satisfy what we call a `past null focusing'
condition. Such a cond... | [
{
"created": "Wed, 5 Sep 2018 10:56:31 GMT",
"version": "v1"
},
{
"created": "Sun, 16 Sep 2018 10:06:40 GMT",
"version": "v2"
},
{
"created": "Tue, 18 Sep 2018 18:46:57 GMT",
"version": "v3"
},
{
"created": "Mon, 28 Jan 2019 11:00:23 GMT",
"version": "v4"
},
{
"cr... | 2019-08-29 | [
[
"Lesourd",
"Martin",
""
]
] | Cosmological singularity theorems such as that of Hawking and Penrose assume local curvature conditions as well as global ones like the existence of a compact (achronal) slice. Here, we prove a new singularity theorem for chronological spacetimes that satisfy what we call a `past null focusing' condition. Such a condit... |
1412.2249 | Luca Parisi Ph.D. | Luca Parisi, Ninfa Radicella, Gaetano Vilasi | Kantowski-Sachs Universes sourced by a Skyrme fluid | 9 pages, 7 figures, 3 tables; v2 Sec. II extended, typos corrected.
Matches the published version | Phys.Rev. D91 (2015) 6, 063533 | 10.1103/PhysRevD.91.063533 | null | gr-qc astro-ph.CO hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Kantowski-Sachs cosmological model sourced by a Skyrme field and a
cosmological constant is considered in the framework of General Relativity.
Assuming a constant radial profile function for the hedgehog ansatz, the Skyrme
contribution to Einstein equations is shown to be equivalent to an anisotropic
fluid. Using... | [
{
"created": "Sat, 6 Dec 2014 16:01:38 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Apr 2015 10:13:12 GMT",
"version": "v2"
}
] | 2015-04-06 | [
[
"Parisi",
"Luca",
""
],
[
"Radicella",
"Ninfa",
""
],
[
"Vilasi",
"Gaetano",
""
]
] | The Kantowski-Sachs cosmological model sourced by a Skyrme field and a cosmological constant is considered in the framework of General Relativity. Assuming a constant radial profile function for the hedgehog ansatz, the Skyrme contribution to Einstein equations is shown to be equivalent to an anisotropic fluid. Using d... |
1312.3641 | Mark Hannam | Mark Hannam | Modelling gravitational waves from precessing black-hole binaries:
Progress, challenges and prospects | Invited review for General Relativity and Gravitation | null | 10.1007/s10714-014-1767-2 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The inspiral and merger of two orbiting black holes is among the most
promising sources for the first (hopefully imminent) direct detection of
gravitational waves (GWs), and measurements of these signals could provide a
wealth of information about astrophysics, fundamental physics and cosmology.
Detection and measure... | [
{
"created": "Thu, 12 Dec 2013 21:00:06 GMT",
"version": "v1"
}
] | 2015-06-18 | [
[
"Hannam",
"Mark",
""
]
] | The inspiral and merger of two orbiting black holes is among the most promising sources for the first (hopefully imminent) direct detection of gravitational waves (GWs), and measurements of these signals could provide a wealth of information about astrophysics, fundamental physics and cosmology. Detection and measureme... |
2407.07010 | Franco Fiorini | Franco Fiorini and Juan Manuel P\'aez | Regular out of the singular: exacts results on top of a curvature
singularity | 9 pages, 4 figures | null | null | null | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By constructing a model of spacetime having a strong curvature singularity in
which causal geodesics are complete, but more generic causal curves are not, we
explicitly show that some electrostatic field configurations on that background
are regular everywhere, including \emph{there} where the spacetime ceases to be
... | [
{
"created": "Tue, 9 Jul 2024 16:26:39 GMT",
"version": "v1"
}
] | 2024-07-10 | [
[
"Fiorini",
"Franco",
""
],
[
"Páez",
"Juan Manuel",
""
]
] | By constructing a model of spacetime having a strong curvature singularity in which causal geodesics are complete, but more generic causal curves are not, we explicitly show that some electrostatic field configurations on that background are regular everywhere, including \emph{there} where the spacetime ceases to be de... |
gr-qc/0205077 | Dr. S. Biswas | S. Biswas, P. Misra and I. Chowdhury | The CWKB Method of Particle Production Near Chronology Horizon | 8 pages, latex, to appear in GRG vol 34 (2002) in May issue | Gen.Rel.Grav. 34 (2002) 697-705 | 10.1023/A:1015994313112 | null | gr-qc | null | In this paper we investigate the phenomenon of particle production of massles
scalar field, in a model of spacetime where the chronology horizon could be
formrd, using the method of complex time WKB approximation (CWKB). For the
purpose, we take two examples in a model of spacetime, one already discussed by
Sushkov, ... | [
{
"created": "Fri, 17 May 2002 10:34:47 GMT",
"version": "v1"
}
] | 2021-10-20 | [
[
"Biswas",
"S.",
""
],
[
"Misra",
"P.",
""
],
[
"Chowdhury",
"I.",
""
]
] | In this paper we investigate the phenomenon of particle production of massles scalar field, in a model of spacetime where the chronology horizon could be formrd, using the method of complex time WKB approximation (CWKB). For the purpose, we take two examples in a model of spacetime, one already discussed by Sushkov, to... |
2307.13761 | Yurii Ignat'ev | Yu.G. Ignat'ev | Similarity of cosmological models and its application to the analysis of
cosmological evolution | 13 pages, 14 figures, 13 references | Theor. Math. Phys. 219, 688 (2024) | 10.1134/S0040577924040123 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Scale transformations of cosmological models based on a statistical system of
degenerate fermions with a scalar Higgs interaction are studied. The similarity
properties of cosmological models are revealed under the scale transformation
of their fundamental parameters. The laws of transformation of the coordinates
of ... | [
{
"created": "Tue, 25 Jul 2023 18:40:31 GMT",
"version": "v1"
}
] | 2024-05-24 | [
[
"Ignat'ev",
"Yu. G.",
""
]
] | Scale transformations of cosmological models based on a statistical system of degenerate fermions with a scalar Higgs interaction are studied. The similarity properties of cosmological models are revealed under the scale transformation of their fundamental parameters. The laws of transformation of the coordinates of si... |
1508.07488 | Vasilis Oikonomou | S.D. Odintsov, V.K. Oikonomou | Viable Mimetic $F(R)$ Gravity Compatible with Planck Observations | Revised version to appear in AOP | null | null | null | gr-qc astro-ph.CO hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using Mukhanov-Chamseddine mimetic approach, we study $F(R)$ gravity with
scalar potential and Lagrange multiplier constraint. As we demonstrate, for a
given $F(R)$ gravity and for suitably chosen mimetic potential, it is possible
to realize inflationary cosmology consistent with Planck observations. We also
investig... | [
{
"created": "Sat, 29 Aug 2015 18:39:51 GMT",
"version": "v1"
},
{
"created": "Sun, 8 Nov 2015 19:56:01 GMT",
"version": "v2"
}
] | 2015-11-10 | [
[
"Odintsov",
"S. D.",
""
],
[
"Oikonomou",
"V. K.",
""
]
] | Using Mukhanov-Chamseddine mimetic approach, we study $F(R)$ gravity with scalar potential and Lagrange multiplier constraint. As we demonstrate, for a given $F(R)$ gravity and for suitably chosen mimetic potential, it is possible to realize inflationary cosmology consistent with Planck observations. We also investigat... |
gr-qc/9608021 | Galtsov Dmitzi | D.V. Gal'tsov | Square of General Relativity | A talk at the First Australasian Conference on General Relativity and
Gravitation, Adelaide, February 12--17, 1996, to be published in the
Proceedings | null | null | DTP-MSU/96-14 | gr-qc hep-th | null | We consider dilaton--axion gravity interacting with $p\;\, U(1)$ vectors
($p=6$ corresponding to $N=4$ supergravity) in four--dimensional spacetime
admitting a non--null Killing vector field. It is argued that this theory
exibits features of a ``square'' of vacuum General Relativity. In the
three--dimensional formula... | [
{
"created": "Thu, 8 Aug 1996 20:46:41 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Gal'tsov",
"D. V.",
""
]
] | We consider dilaton--axion gravity interacting with $p\;\, U(1)$ vectors ($p=6$ corresponding to $N=4$ supergravity) in four--dimensional spacetime admitting a non--null Killing vector field. It is argued that this theory exibits features of a ``square'' of vacuum General Relativity. In the three--dimensional formulati... |
0812.1294 | Sebastiano Sonego | Sebastiano Sonego, Massimo Pin | Foundations of anisotropic relativistic mechanics | 41 pages, 4 figures | J. Math. Phys. 50, 042902 (2009) | 10.1063/1.3104065 | null | gr-qc math-ph math.MP physics.class-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We lay down the foundations of particle dynamics in mechanical theories that
satisfy the relativity principle and whose kinematics can be formulated
employing reference frames of the type usually adopted in special relativity.
Such mechanics allow for the presence of anisotropy, both conventional (due to
non-standard... | [
{
"created": "Sat, 6 Dec 2008 15:25:01 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Jun 2009 11:19:57 GMT",
"version": "v2"
}
] | 2009-06-30 | [
[
"Sonego",
"Sebastiano",
""
],
[
"Pin",
"Massimo",
""
]
] | We lay down the foundations of particle dynamics in mechanical theories that satisfy the relativity principle and whose kinematics can be formulated employing reference frames of the type usually adopted in special relativity. Such mechanics allow for the presence of anisotropy, both conventional (due to non-standard s... |
1703.01481 | Peter K.F. Kuhfittig | Peter K.F. Kuhfittig | Accounting for some aspects of dark matter and dark energy via
noncommutative geometry | 8 pages, 1 figure, special issue on string theory | Journal of Modern Physics, vol. 8, pp. 323-329 (2017) | 10.4236/jmp.2017.83021 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The purpose of this paper is to seek a connection between noncommutative
geometry, an offshoot of string theory, and certain aspects of dark matter and
dark energy. The former case is based on a simple mathematical argument showing
that the main manifestation of dark matter in connection with flat rotation
curves in ... | [
{
"created": "Sat, 4 Mar 2017 15:41:26 GMT",
"version": "v1"
},
{
"created": "Mon, 15 May 2017 16:51:13 GMT",
"version": "v2"
},
{
"created": "Fri, 8 Sep 2017 17:54:14 GMT",
"version": "v3"
},
{
"created": "Sun, 19 May 2019 20:12:06 GMT",
"version": "v4"
}
] | 2019-05-21 | [
[
"Kuhfittig",
"Peter K. F.",
""
]
] | The purpose of this paper is to seek a connection between noncommutative geometry, an offshoot of string theory, and certain aspects of dark matter and dark energy. The former case is based on a simple mathematical argument showing that the main manifestation of dark matter in connection with flat rotation curves in ga... |
2102.02004 | Nicolas Chamel | Lo\"ic Perot, Nicolas Chamel | Role of dense matter in tidal deformations of inspiralling neutron stars
and in gravitational waveform with unified equations of state | 35 pages, 25 figures, accepted for publication in Physical Review C | null | 10.1103/PhysRevC.103.025801 | null | gr-qc astro-ph.HE nucl-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The role of dense-matter properties in the tidal deformability of a cold
nonaccreted neutron star is further investigated. Using the set of
Brussels-Montreal unified equations of state, we have computed the
gravitoelectric Love numbers $k_\ell$ and the gravitomagnetic Love numbers
$j_\ell$ up to $\ell=5$. Their relat... | [
{
"created": "Wed, 3 Feb 2021 11:07:08 GMT",
"version": "v1"
}
] | 2021-02-24 | [
[
"Perot",
"Loïc",
""
],
[
"Chamel",
"Nicolas",
""
]
] | The role of dense-matter properties in the tidal deformability of a cold nonaccreted neutron star is further investigated. Using the set of Brussels-Montreal unified equations of state, we have computed the gravitoelectric Love numbers $k_\ell$ and the gravitomagnetic Love numbers $j_\ell$ up to $\ell=5$. Their relativ... |
2202.04117 | Nicolas Yunes | Nicolas Yunes, M. Coleman Miller, Kent Yagi | Gravitational-Wave and X-ray Probes of the Neutron Star Equation of
State | Published in Nature Reviews Physics (2022) | null | 10.1038/s42254-022-00420-y | null | gr-qc astro-ph.HE | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Neutron stars are a remarkable marriage of Einstein's theory of general
relativity with nuclear physics. Their interiors harbor extreme matter that
cannot be probed in the laboratory. At such high densities and pressures, their
cores may consist predominantly of exotic matter such as free quarks or
hyperons. Gravitat... | [
{
"created": "Tue, 8 Feb 2022 19:40:20 GMT",
"version": "v1"
}
] | 2022-02-10 | [
[
"Yunes",
"Nicolas",
""
],
[
"Miller",
"M. Coleman",
""
],
[
"Yagi",
"Kent",
""
]
] | Neutron stars are a remarkable marriage of Einstein's theory of general relativity with nuclear physics. Their interiors harbor extreme matter that cannot be probed in the laboratory. At such high densities and pressures, their cores may consist predominantly of exotic matter such as free quarks or hyperons. Gravitatio... |
2112.08400 | David Pere\~n\'iguez Mr | David Pere\~niguez and Vitor Cardoso | Love numbers and magnetic susceptibility of charged black holes | v1:12 pages, 4 figures. v2: few comments and references added, minor
typos fixed, matches version published in PRD | null | 10.1103/PhysRevD.105.044026 | null | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The response of black holes to companions is of fundamental importance in the
context of their dynamics and of gravitational-wave emission. Here, we explore
the effect of charge on the static response of black holes. With a view to
constraining broader setups, we consider charged geometries in an arbitrary
number of ... | [
{
"created": "Wed, 15 Dec 2021 19:00:08 GMT",
"version": "v1"
},
{
"created": "Mon, 28 Feb 2022 16:53:00 GMT",
"version": "v2"
}
] | 2022-03-01 | [
[
"Pereñiguez",
"David",
""
],
[
"Cardoso",
"Vitor",
""
]
] | The response of black holes to companions is of fundamental importance in the context of their dynamics and of gravitational-wave emission. Here, we explore the effect of charge on the static response of black holes. With a view to constraining broader setups, we consider charged geometries in an arbitrary number of sp... |
0705.4452 | Tony Rothman | Alessandro Giuliani and Tony Rothman | Absolute Stability Limit for Relativistic Charged Spheres | 25 pages, 1 figure 1 June 07: Replaced with added citations to prior
work along same lines | Gen.Rel.Grav.40:1427-1447,2008 | 10.1007/s10714-007-0539-7 | null | gr-qc | null | We find an exact solution for the stability limit of relativistic charged
spheres for the case of constant gravitational mass density and constant charge
density. We argue that this provides an absolute stability limit for any
relativistic charged sphere in which the gravitational mass density decreases
with radius a... | [
{
"created": "Wed, 30 May 2007 18:52:10 GMT",
"version": "v1"
},
{
"created": "Fri, 1 Jun 2007 15:04:22 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Giuliani",
"Alessandro",
""
],
[
"Rothman",
"Tony",
""
]
] | We find an exact solution for the stability limit of relativistic charged spheres for the case of constant gravitational mass density and constant charge density. We argue that this provides an absolute stability limit for any relativistic charged sphere in which the gravitational mass density decreases with radius and... |
gr-qc/0405082 | Stefan Hollands | Stefan Hollands and Robert M. Wald | Quantum Field Theory Is Not Merely Quantum Mechanics Applied to Low
Energy Effective Degrees of Freedom | Latex, 8 Pages, 5th Prize Essay, Gravity Research Foundation | Gen.Rel.Grav. 36 (2004) 2595-2603 | 10.1023/B:GERG.0000048980.00020.9a | null | gr-qc | null | It is commonly assumed that quantum field theory arises by applying ordinary
quantum mechanics to the low energy effective degrees of freedom of a more
fundamental theory defined at ultra-high-energy/short-wavelength scales. We
shall argue here that, even for free quantum fields, there are holistic aspects
of quantum... | [
{
"created": "Sun, 16 May 2004 13:56:04 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Hollands",
"Stefan",
""
],
[
"Wald",
"Robert M.",
""
]
] | It is commonly assumed that quantum field theory arises by applying ordinary quantum mechanics to the low energy effective degrees of freedom of a more fundamental theory defined at ultra-high-energy/short-wavelength scales. We shall argue here that, even for free quantum fields, there are holistic aspects of quantum f... |
1409.7652 | Daniela Pugliese Dr | D. Pugliese and H. Quevedo | The ergoregion in the Kerr spacetime: properties of the equatorial
circular motion | 19 pages, 9 figure multi-panels; 3 Tables. This and a slightly
modified version with the addition of new references and some new discussion.
To appear in EPJC | null | null | null | gr-qc astro-ph.HE | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate in detail the circular motion of test particles on the
equatorial plane of the ergoregion in the Kerr spacetime. We consider all the
regions where circular motion is allowed, and we analyze the stability
properties and the energy and angular momentum of the test particles. We show
that the structure of... | [
{
"created": "Fri, 26 Sep 2014 17:56:09 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Mar 2015 22:02:40 GMT",
"version": "v2"
},
{
"created": "Tue, 12 May 2015 21:00:47 GMT",
"version": "v3"
}
] | 2015-05-14 | [
[
"Pugliese",
"D.",
""
],
[
"Quevedo",
"H.",
""
]
] | We investigate in detail the circular motion of test particles on the equatorial plane of the ergoregion in the Kerr spacetime. We consider all the regions where circular motion is allowed, and we analyze the stability properties and the energy and angular momentum of the test particles. We show that the structure of t... |
gr-qc/9904061 | Ram Brustein | Ram Brustein | The Generalized Second Law of Thermodynamics in Cosmology | 12 pages, no figures | Phys.Rev.Lett. 84 (2000) 2072 | 10.1103/PhysRevLett.84.2072 | null | gr-qc hep-th | null | A classical and quantum mechanical generalized second law of thermodynamics
in cosmology implies constraints on the effective equation of state of the
universe in the form of energy conditions, obeyed by many known cosmological
solutions, and is compatible with entropy bounds which forbid certain
cosmological singula... | [
{
"created": "Mon, 26 Apr 1999 15:51:13 GMT",
"version": "v1"
},
{
"created": "Mon, 6 Mar 2000 14:56:33 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Brustein",
"Ram",
""
]
] | A classical and quantum mechanical generalized second law of thermodynamics in cosmology implies constraints on the effective equation of state of the universe in the form of energy conditions, obeyed by many known cosmological solutions, and is compatible with entropy bounds which forbid certain cosmological singulari... |
1109.0803 | Guillermo Chac\'on-Acosta | Guillermo Chac\'on-Acosta, Elisa Manrique, Leonardo Dagdug, Hugo A.
Morales-T\'ecotl | Statistical Thermodynamics of Polymer Quantum Systems | null | SIGMA 7 (2011), 110, 23 pages | 10.3842/SIGMA.2011.110 | null | gr-qc cond-mat.stat-mech hep-th | http://creativecommons.org/licenses/by-nc-sa/3.0/ | Polymer quantum systems are mechanical models quantized similarly as loop
quantum gravity. It is actually in quantizing gravity that the polymer term
holds proper as the quantum geometry excitations yield a reminiscent of a
polymer material. In such an approach both non-singular cosmological models and
a microscopic ... | [
{
"created": "Mon, 5 Sep 2011 05:44:18 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Dec 2011 06:56:27 GMT",
"version": "v2"
}
] | 2011-12-05 | [
[
"Chacón-Acosta",
"Guillermo",
""
],
[
"Manrique",
"Elisa",
""
],
[
"Dagdug",
"Leonardo",
""
],
[
"Morales-Técotl",
"Hugo A.",
""
]
] | Polymer quantum systems are mechanical models quantized similarly as loop quantum gravity. It is actually in quantizing gravity that the polymer term holds proper as the quantum geometry excitations yield a reminiscent of a polymer material. In such an approach both non-singular cosmological models and a microscopic ba... |
gr-qc/0608137 | Spiros Cotsakis | Spiros Cotsakis, John D. Barrow | The Dominant Balance at Cosmological Singularities | 13 pages, to appear in the Proceedings of the Greek Relativity
Meeting NEB12, June 29-July 2, 2006, Nauplia, Greece | J.Phys.Conf.Ser.68:012004,2007 | 10.1088/1742-6596/68/1/012004 | null | gr-qc | null | We define the notion of a finite-time singularity of a vector field and then
discuss a technique suitable for the asymptotic analysis of vector fields and
their integral curves in the neighborhood of such a singularity. Having in mind
the application of this method to cosmology, we also provide an analysis of the
tim... | [
{
"created": "Thu, 31 Aug 2006 06:12:13 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Cotsakis",
"Spiros",
""
],
[
"Barrow",
"John D.",
""
]
] | We define the notion of a finite-time singularity of a vector field and then discuss a technique suitable for the asymptotic analysis of vector fields and their integral curves in the neighborhood of such a singularity. Having in mind the application of this method to cosmology, we also provide an analysis of the time ... |
1806.04666 | Marco de Cesare | Marco de Cesare, Mairi Sakellariadou and Patrizia Vitale | Noncommutative gravity with self-dual variables | 52 pages; v2: added references, corrected minor typos; matches
published version | Class. Quantum Grav. 35 (2018) 215009 | 10.1088/1361-6382/aae3f5 | KCL-PH-TH/2018-24 | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We build a noncommutative extension of Palatini-Holst theory on a
twist-deformed spacetime, generalizing a model that has been previously
proposed by Aschieri and Castellani. The twist deformation entails an
enlargement of the gauge group, and leads to the introduction of new
gravitational degrees of freedom. In part... | [
{
"created": "Tue, 12 Jun 2018 17:58:32 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Oct 2018 16:17:46 GMT",
"version": "v2"
}
] | 2018-10-22 | [
[
"de Cesare",
"Marco",
""
],
[
"Sakellariadou",
"Mairi",
""
],
[
"Vitale",
"Patrizia",
""
]
] | We build a noncommutative extension of Palatini-Holst theory on a twist-deformed spacetime, generalizing a model that has been previously proposed by Aschieri and Castellani. The twist deformation entails an enlargement of the gauge group, and leads to the introduction of new gravitational degrees of freedom. In partic... |
1305.3755 | Jason Bates | Jason D. Bates | Non-Gaussian Stochastic Gravity | 11 pages | null | null | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper presents a new, non-Gaussian formulation of stochastic gravity by
incorporating the higher moments of the fluctuations of the quantum stress
energy tensor for a free quantum scalar field in a consistent way. A scheme is
developed for obtaining realizations of these fluctuations in terms of the
Wightman fun... | [
{
"created": "Thu, 16 May 2013 10:45:59 GMT",
"version": "v1"
}
] | 2013-05-17 | [
[
"Bates",
"Jason D.",
""
]
] | This paper presents a new, non-Gaussian formulation of stochastic gravity by incorporating the higher moments of the fluctuations of the quantum stress energy tensor for a free quantum scalar field in a consistent way. A scheme is developed for obtaining realizations of these fluctuations in terms of the Wightman funct... |
gr-qc/0604054 | Jun-Ichirou Koga | Jun-ichirou Koga | Universal properties from local geometric structure of Killing horizon | 14 pages, v2. minor corrections | Class.Quant.Grav.24:3067-3084,2007 | 10.1088/0264-9381/24/11/018 | WU-AP/244/06 | gr-qc hep-th | null | We consider universal properties that arise from a local geometric structure
of a Killing horizon. We first introduce a non-perturbative definition of such
a local geometric structure, which we call an asymptotic Killing horizon. It is
shown that infinitely many asymptotic Killing horizons reside on a common null
hyp... | [
{
"created": "Tue, 11 Apr 2006 14:27:04 GMT",
"version": "v1"
},
{
"created": "Tue, 26 Sep 2006 16:51:16 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Koga",
"Jun-ichirou",
""
]
] | We consider universal properties that arise from a local geometric structure of a Killing horizon. We first introduce a non-perturbative definition of such a local geometric structure, which we call an asymptotic Killing horizon. It is shown that infinitely many asymptotic Killing horizons reside on a common null hyper... |
1107.0395 | Atsushi Higuchi | Mir Faizal and Atsushi Higuchi | Physical equivalence between the covariant and physical graviton
two-point functions in de Sitter spacetime | 33 pages (Revtex), no figures, misprints corrected, reference added | Phys. Rev. D85: 12402, 2012 | 10.1103/PhysRevD.85.124021 | null | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is known that the covariant graviton two-point function in de Sitter
spacetime is infrared divergent for some choices of gauge parameters. On the
other hand it is also known that there are no infrared divergences requiring an
infrared cutoff for the physical graviton two-point function for this spacetime
in the tr... | [
{
"created": "Sat, 2 Jul 2011 16:55:29 GMT",
"version": "v1"
},
{
"created": "Sat, 16 Jul 2011 20:44:53 GMT",
"version": "v2"
},
{
"created": "Tue, 31 Jul 2012 13:26:42 GMT",
"version": "v3"
}
] | 2013-05-30 | [
[
"Faizal",
"Mir",
""
],
[
"Higuchi",
"Atsushi",
""
]
] | It is known that the covariant graviton two-point function in de Sitter spacetime is infrared divergent for some choices of gauge parameters. On the other hand it is also known that there are no infrared divergences requiring an infrared cutoff for the physical graviton two-point function for this spacetime in the tran... |
gr-qc/0308016 | Maurice H. P. M. van Putten | Maurice H.P.M. van Putten, Amir Levinson, Hyun Kyu Lee, Tania
Regimbau, Michele Punturo, Gregory M. Harry | Gravitational radiation from gamma-ray bursts as observational
opportunities for LIGO and VIRGO | to appear in PRD, 49p | Phys.Rev.D69:044007,2004 | 10.1103/PhysRevD.69.044007 | LIGO-P030041-00-D | gr-qc astro-ph | null | Gamma-ray bursts are believed to originate in core-collapse of massive stars.
This produces an active nucleus containing a rapidly rotating Kerr black hole
surrounded by a uniformly magnetized torus represented by two counter-oriented
current rings. We quantify black hole spin-interactions with the torus and
charge... | [
{
"created": "Wed, 6 Aug 2003 19:44:11 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Oct 2003 12:28:03 GMT",
"version": "v2"
}
] | 2014-11-17 | [
[
"van Putten",
"Maurice H. P. M.",
""
],
[
"Levinson",
"Amir",
""
],
[
"Lee",
"Hyun Kyu",
""
],
[
"Regimbau",
"Tania",
""
],
[
"Punturo",
"Michele",
""
],
[
"Harry",
"Gregory M.",
""
]
] | Gamma-ray bursts are believed to originate in core-collapse of massive stars. This produces an active nucleus containing a rapidly rotating Kerr black hole surrounded by a uniformly magnetized torus represented by two counter-oriented current rings. We quantify black hole spin-interactions with the torus and charged pa... |
2209.11357 | Sinya Aoki | Sinya Aoki | Colliding gravitational waves and singularities | 23 pages, 5 figures. More detailed explanations in Sec.3.1 and some
modifications in Sec. 3.3 have been added | null | null | YITP-22-102 | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We have investigated a model of colliding plain gravitational waves, proposed
by Szekeres, whose structure of singularities is determined. We have evaluated
a total energy of matter as a volume integral of the energy momentum tensor
(EMT), whose contributions arise only at these singularities. The total matter
energy... | [
{
"created": "Fri, 23 Sep 2022 00:59:25 GMT",
"version": "v1"
},
{
"created": "Tue, 6 Jun 2023 05:49:20 GMT",
"version": "v2"
}
] | 2023-06-07 | [
[
"Aoki",
"Sinya",
""
]
] | We have investigated a model of colliding plain gravitational waves, proposed by Szekeres, whose structure of singularities is determined. We have evaluated a total energy of matter as a volume integral of the energy momentum tensor (EMT), whose contributions arise only at these singularities. The total matter energy i... |
0809.1529 | Muhammad Sharif | M. Sharif and M. Jamil Amir | Energy-Momentum of the Friedmann Models in General Relativity and
Teleparallel Theory of Gravity | 14 pages, accepted for publication in Canadian J. Phys | Can.J.Phys.86:1297-1302,2008 | 10.1139/P08-073 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper is devoted to the evaluation of the energy-momentum density
components for the Friedmann models. For this purpose, we have used
M${\o}$ller's pseudotensor prescription in General Relativity and a certain
energy-momentum density developed from his teleparallel formulation. It is
shown that the energy densit... | [
{
"created": "Tue, 9 Sep 2008 10:26:28 GMT",
"version": "v1"
}
] | 2011-01-27 | [
[
"Sharif",
"M.",
""
],
[
"Amir",
"M. Jamil",
""
]
] | This paper is devoted to the evaluation of the energy-momentum density components for the Friedmann models. For this purpose, we have used M${\o}$ller's pseudotensor prescription in General Relativity and a certain energy-momentum density developed from his teleparallel formulation. It is shown that the energy density ... |
1911.11200 | Francesco Di Filippo | Ra\'ul Carballo-Rubio, Francesco Di Filippo, Stefano Liberati, Matt
Visser | Geodesically complete black holes | 22 pages, 16 figures | Phys. Rev. D 101, 084047 (2020) | 10.1103/PhysRevD.101.084047 | null | gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The 1965 Penrose singularity theorem demonstrates the utterly inevitable and
unavoidable formation of spacetime singularities under physically reasonable
assumptions, and it remains one of the main results in our understanding of
black holes. It is standard lore that quantum gravitational effects will always
tame the... | [
{
"created": "Mon, 25 Nov 2019 20:06:31 GMT",
"version": "v1"
}
] | 2020-04-29 | [
[
"Carballo-Rubio",
"Raúl",
""
],
[
"Di Filippo",
"Francesco",
""
],
[
"Liberati",
"Stefano",
""
],
[
"Visser",
"Matt",
""
]
] | The 1965 Penrose singularity theorem demonstrates the utterly inevitable and unavoidable formation of spacetime singularities under physically reasonable assumptions, and it remains one of the main results in our understanding of black holes. It is standard lore that quantum gravitational effects will always tame these... |
0704.2647 | Muhammad Sharif | M. Sharif and Zahid Ahmad | High-Speed Cylindrical Collapse of Two Perfect Fluids | 11 pages, 1 figure, accepted for publication in Gen. Rel. Grav | Gen.Rel.Grav.39:1331-1344,2007 | 10.1007/s10714-007-0440-4 | null | gr-qc | null | In this paper, the study of the gravitational collapse of cylindrically
distributed two perfect fluid system has been carried out. It is assumed that
the collapsing speeds of the two fluids are very large. We explore this
condition by using the high-speed approximation scheme. There arise two cases,
i.e., bounded and... | [
{
"created": "Fri, 20 Apr 2007 02:20:10 GMT",
"version": "v1"
}
] | 2008-11-26 | [
[
"Sharif",
"M.",
""
],
[
"Ahmad",
"Zahid",
""
]
] | In this paper, the study of the gravitational collapse of cylindrically distributed two perfect fluid system has been carried out. It is assumed that the collapsing speeds of the two fluids are very large. We explore this condition by using the high-speed approximation scheme. There arise two cases, i.e., bounded and v... |
2301.06120 | Zhi Luo | Zhi Luo, Hao Yu, Shuo Cao, Jin Li | Shadow thermodynamics of the Hayward-AdS black hole | 14 pages, 6 figures | null | 10.1088/1674-1137/acc570 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, the phase structure of the Hayward-AdS black hole (BH) is
studied using shadow formalism. It has been found that the shadow radius is a
monotonic function of the horizon radius and can therefore play an equivalent
role to the horizon radius in characterizing the thermodynamics of Hayward-AdS
BH. The th... | [
{
"created": "Sun, 15 Jan 2023 15:31:57 GMT",
"version": "v1"
}
] | 2023-05-03 | [
[
"Luo",
"Zhi",
""
],
[
"Yu",
"Hao",
""
],
[
"Cao",
"Shuo",
""
],
[
"Li",
"Jin",
""
]
] | In this paper, the phase structure of the Hayward-AdS black hole (BH) is studied using shadow formalism. It has been found that the shadow radius is a monotonic function of the horizon radius and can therefore play an equivalent role to the horizon radius in characterizing the thermodynamics of Hayward-AdS BH. The ther... |
2001.09889 | Harald Skarke | Harald Skarke | Redshift and gauge choice | 15 pages, clarifications and comparisons with other gauges added | Phys. Rev. D 102, 123520 (2020) | 10.1103/PhysRevD.102.123520 | null | gr-qc astro-ph.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that a specific gauge choice comes extremely close to defining a
frame whose preferred observers see a dipole-free CMB. In this gauge the metric
is the product of a scale factor depending on all spacetime coordinates, and a
metric featuring an expansion-free geodesic timelike vector field. This setup
facilita... | [
{
"created": "Mon, 27 Jan 2020 16:23:48 GMT",
"version": "v1"
},
{
"created": "Mon, 11 May 2020 13:20:16 GMT",
"version": "v2"
}
] | 2021-01-04 | [
[
"Skarke",
"Harald",
""
]
] | We show that a specific gauge choice comes extremely close to defining a frame whose preferred observers see a dipole-free CMB. In this gauge the metric is the product of a scale factor depending on all spacetime coordinates, and a metric featuring an expansion-free geodesic timelike vector field. This setup facilitate... |
1403.3467 | Friedrich W. Hehl | Peter Baekler (Duesseldorf), Alberto Favaro (Oldenburg), Yakov Itin
(Jerusalem), Friedrich W. Hehl (Cologne and Columbia, Missouri) | The Kummer tensor density in electrodynamics and in gravity | 54 pages, 6 figures, written in LaTex; improved version in accordance
with the referee report | Annals of Physics (NY) 349 (2014) 297--324 | 10.1016/j.aop.2014.06.007 | null | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Guided by results in the premetric electrodynamics of local and linear media,
we introduce on 4-dimensional spacetime the new abstract notion of a Kummer
tensor density of rank four, ${\cal K}^{ijkl}$. This tensor density is, by
definition, a cubic algebraic functional of a tensor density of rank four
${\cal T}^{ijkl... | [
{
"created": "Fri, 14 Mar 2014 00:33:07 GMT",
"version": "v1"
},
{
"created": "Sun, 28 Sep 2014 20:50:29 GMT",
"version": "v2"
}
] | 2015-06-19 | [
[
"Baekler",
"Peter",
"",
"Duesseldorf"
],
[
"Favaro",
"Alberto",
"",
"Oldenburg"
],
[
"Itin",
"Yakov",
"",
"Jerusalem"
],
[
"Hehl",
"Friedrich W.",
"",
"Cologne and Columbia, Missouri"
]
] | Guided by results in the premetric electrodynamics of local and linear media, we introduce on 4-dimensional spacetime the new abstract notion of a Kummer tensor density of rank four, ${\cal K}^{ijkl}$. This tensor density is, by definition, a cubic algebraic functional of a tensor density of rank four ${\cal T}^{ijkl}$... |
1312.4891 | Kirill Bronnikov | K.A. Bronnikov, J.C. Fabris, R. Silveira, O.B. Zaslavskii | Dilaton gravity, (quasi-) black holes, and scalar charge | 22 pages, 2 figures. Published version | Gen. Rel. Grav. 46 (9), 1775 (2014) | 10.1007/s10714-014-1775-2 | null | gr-qc astro-ph.HE hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider static electrically charged dust configurations in the framework
of Einstein-Maxwell-dilaton gravity with the interaction term P(\chi) F_{mn}
F^{mn} in the Lagrangian, where P(\chi) is an arbitrary function of the dilaton
field \chi, and the latter is allowed to be normal or phantom. It is shown
that, for... | [
{
"created": "Tue, 17 Dec 2013 18:42:09 GMT",
"version": "v1"
},
{
"created": "Sat, 21 Dec 2013 18:45:37 GMT",
"version": "v2"
},
{
"created": "Thu, 14 Aug 2014 03:29:08 GMT",
"version": "v3"
}
] | 2014-08-15 | [
[
"Bronnikov",
"K. A.",
""
],
[
"Fabris",
"J. C.",
""
],
[
"Silveira",
"R.",
""
],
[
"Zaslavskii",
"O. B.",
""
]
] | We consider static electrically charged dust configurations in the framework of Einstein-Maxwell-dilaton gravity with the interaction term P(\chi) F_{mn} F^{mn} in the Lagrangian, where P(\chi) is an arbitrary function of the dilaton field \chi, and the latter is allowed to be normal or phantom. It is shown that, for a... |
gr-qc/0303011 | Massimiliano Giammatteo | M. Giammatteo | Quasinormal modes of Kerr black holes: The determination of the
quasinormal frequencies with a new technique | 10 pages, 4 figures, Revtex4 style | null | null | null | gr-qc | null | We compute the quasinormal frequencies of rotating black holes using the
continued fraction method first proposed by Leaver. The main difference with
former works, is that our results are obtained by a new numerical technique
which avoids the use of two dimensional root-finding routines. The technique is
applied to e... | [
{
"created": "Mon, 3 Mar 2003 18:29:39 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Giammatteo",
"M.",
""
]
] | We compute the quasinormal frequencies of rotating black holes using the continued fraction method first proposed by Leaver. The main difference with former works, is that our results are obtained by a new numerical technique which avoids the use of two dimensional root-finding routines. The technique is applied to eva... |
1108.2102 | Valerio Faraoni | Valerio Faraoni (Bishop's University) | A symmetry of the spatially flat Friedmann equations with barotropic
fluid | 10 pages, no figures, to appear in Phys. Lett. B | null | 10.1016/j.physletb.2011.08.018 | null | gr-qc astro-ph.CO | http://creativecommons.org/licenses/by-nc-sa/3.0/ | A string-inspired duality symmetry of the spatially flat Friedmann equations
of general-relativistic cosmology is discussed and generalized, providing a map
between exact solutions corresponding to different values of the barotropic
index.
| [
{
"created": "Wed, 10 Aug 2011 06:17:07 GMT",
"version": "v1"
}
] | 2015-05-30 | [
[
"Faraoni",
"Valerio",
"",
"Bishop's University"
]
] | A string-inspired duality symmetry of the spatially flat Friedmann equations of general-relativistic cosmology is discussed and generalized, providing a map between exact solutions corresponding to different values of the barotropic index. |
2011.13264 | Alesandro Santos | J. S. Gon\c{c}alves and A. F. Santos | G\"{o}del and G\"{o}del-type solutions in the Palatini $f(R,T)$ gravity
theory | 15 pages, accepted for publication in IJMPD | null | 10.1142/S0218271821500140 | null | gr-qc | http://creativecommons.org/licenses/by/4.0/ | The Palatini $f(R,T)$ gravity theory is considered. The standard
Einstein-Hilbert action is replaced by an arbitrary function of the Ricci
scalar $R$ and of the trace $T$ of the energy-momentum tensor. In the Palatini
approach, the Ricci scalar is a function of the metric and the connection.
These two quantities, met... | [
{
"created": "Thu, 26 Nov 2020 12:47:27 GMT",
"version": "v1"
}
] | 2021-02-24 | [
[
"Gonçalves",
"J. S.",
""
],
[
"Santos",
"A. F.",
""
]
] | The Palatini $f(R,T)$ gravity theory is considered. The standard Einstein-Hilbert action is replaced by an arbitrary function of the Ricci scalar $R$ and of the trace $T$ of the energy-momentum tensor. In the Palatini approach, the Ricci scalar is a function of the metric and the connection. These two quantities, metri... |
1408.5505 | Alexandre Le Tiec | Alexandre Le Tiec | The Overlap of Numerical Relativity, Perturbation Theory and
Post-Newtonian Theory in the Binary Black Hole Problem | 35 pages, 9 figures; invited review for IJMPD; v2: references added,
matches published version | Int.J.Mod.Phys.D.23:1430022,2014 | 10.1142/S0218271814300225 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Inspiralling and coalescing binary black holes are promising sources of
gravitational radiation. The orbital motion and gravitational-wave emission of
such system can be modelled using a variety of approximation schemes and
numerical methods in general relativity: the post-Newtonian formalism, black
hole perturbation... | [
{
"created": "Sat, 23 Aug 2014 15:39:37 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Oct 2014 11:39:10 GMT",
"version": "v2"
}
] | 2014-10-06 | [
[
"Tiec",
"Alexandre Le",
""
]
] | Inspiralling and coalescing binary black holes are promising sources of gravitational radiation. The orbital motion and gravitational-wave emission of such system can be modelled using a variety of approximation schemes and numerical methods in general relativity: the post-Newtonian formalism, black hole perturbation t... |
1606.04529 | Prabir Rudra | Prabir Rudra, Mir Faizal, Ahmed Farag Ali | Vaidya Spacetime for Galileon Gravity's Rainbow | 13 pages, 10 figures (Accepted for publication in Nucl. Phys. B) | Nucl. Phys. B 909, 725 (2016) | 10.1016/j.nuclphysb.2016.06.002 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we analyze Vaidya spacetime with an energy dependent metric in
Galileon gravity's rainbow. This will be done using the rainbow functions which
are motivated from the results obtained in loop quantum gravity approach and
non-commutative geometry. We will investigate the Gravitational collapse in
this Ga... | [
{
"created": "Tue, 7 Jun 2016 11:55:48 GMT",
"version": "v1"
}
] | 2016-06-28 | [
[
"Rudra",
"Prabir",
""
],
[
"Faizal",
"Mir",
""
],
[
"Ali",
"Ahmed Farag",
""
]
] | In this paper, we analyze Vaidya spacetime with an energy dependent metric in Galileon gravity's rainbow. This will be done using the rainbow functions which are motivated from the results obtained in loop quantum gravity approach and non-commutative geometry. We will investigate the Gravitational collapse in this Gali... |
gr-qc/0507121 | J. -F. Pascual-Sanchez | J.-F. Pascual-Sanchez | Introducing Relativity in Global Navigation Satellite Systems | 24 pages, RevTeX 4, based on a talk given in "International School:
Relativistic Coordinates, Reference and Positioning Systems", Salamanca
(Spain), January 21-25, 2005; final version with an extended section on the
SYPOR project, accepted in Annalen der Physik (Leipzig) | Annalen Phys.16:258-273,1997 | 10.1002/andp.200610229 | null | gr-qc physics.class-ph | null | Today, the Global Navigation Satellite Systems, used as global positioning
systems, are the GPS and the GLONASS. They are based on a Newtonian model and
hence they are only operative when several relativistic effects are taken into
account. The most important relativistic effects (to order 1/c^2) are: the
Einstein gr... | [
{
"created": "Thu, 28 Jul 2005 19:11:27 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Dec 2005 20:48:07 GMT",
"version": "v2"
},
{
"created": "Wed, 13 Dec 2006 18:07:25 GMT",
"version": "v3"
}
] | 2014-11-17 | [
[
"Pascual-Sanchez",
"J. -F.",
""
]
] | Today, the Global Navigation Satellite Systems, used as global positioning systems, are the GPS and the GLONASS. They are based on a Newtonian model and hence they are only operative when several relativistic effects are taken into account. The most important relativistic effects (to order 1/c^2) are: the Einstein grav... |
2204.08371 | Jorge Pullin | Rodolfo Gambini, Jorge Pullin | The solution to the problem of time in quantum gravity also solves the
time of arrival problem in quantum mechanics | 14 pages, LaTex, 5 figure, to appear in New Journal of Physics | New Journal of Physics 24 053011 (2022) | 10.1088/1367-2630/ac6768 | LSU-REL-041822 | gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduced with coauthors some years ago a solution to the problem of time
in quantum gravity which consists in formulating the quantum theory in terms of
real clocks. It combines Page and Wootters' relational proposal with Rovelli's
evolving constants of the motion. Time is associated with an operator and not a
c... | [
{
"created": "Mon, 18 Apr 2022 15:30:24 GMT",
"version": "v1"
}
] | 2022-05-03 | [
[
"Gambini",
"Rodolfo",
""
],
[
"Pullin",
"Jorge",
""
]
] | We introduced with coauthors some years ago a solution to the problem of time in quantum gravity which consists in formulating the quantum theory in terms of real clocks. It combines Page and Wootters' relational proposal with Rovelli's evolving constants of the motion. Time is associated with an operator and not a cla... |
2210.09062 | Wen-Xiang Chen | Wen-Xiang Chen, Jun-Xian Li, Jing-Yi Zhang | Calculating the Hawking Temperatures of Conventional Black Holes in the
f(R) Gravity Models with the RVB Method | null | null | 10.1007/s10773-023-05335-7 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This paper attempted to apply the RVB method for calculating the Hawking
temperatures of black holes under f(R) gravity. In calculating the Hawking
temperature, we found a difference in the integration constant between the RVB
and general methods.
| [
{
"created": "Thu, 13 Oct 2022 23:52:13 GMT",
"version": "v1"
},
{
"created": "Fri, 2 Dec 2022 02:31:08 GMT",
"version": "v2"
}
] | 2023-05-24 | [
[
"Chen",
"Wen-Xiang",
""
],
[
"Li",
"Jun-Xian",
""
],
[
"Zhang",
"Jing-Yi",
""
]
] | This paper attempted to apply the RVB method for calculating the Hawking temperatures of black holes under f(R) gravity. In calculating the Hawking temperature, we found a difference in the integration constant between the RVB and general methods. |
2105.10521 | Dipayan Mukherjee | Dipayan Mukherjee, H. K. Jassal and Kinjalk Lochan | $f(R)$ Dual Theories of Quintessence : Expansion-Collapse Duality | 29 pages, 5 figures, accepted for publication in JCAP | null | 10.1088/1475-7516/2021/12/016 | null | gr-qc astro-ph.CO hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The accelerated expansion of the universe demands presence of an exotic
matter, namely the dark energy. Though the cosmological constant fits this role
very well, a scalar field minimally coupled to gravity, or quintessence, can
also be considered as a viable alternative for the cosmological constant. We
study $f(R)$... | [
{
"created": "Fri, 21 May 2021 18:07:48 GMT",
"version": "v1"
},
{
"created": "Wed, 2 Jun 2021 05:22:30 GMT",
"version": "v2"
},
{
"created": "Wed, 1 Dec 2021 08:40:22 GMT",
"version": "v3"
}
] | 2021-12-09 | [
[
"Mukherjee",
"Dipayan",
""
],
[
"Jassal",
"H. K.",
""
],
[
"Lochan",
"Kinjalk",
""
]
] | The accelerated expansion of the universe demands presence of an exotic matter, namely the dark energy. Though the cosmological constant fits this role very well, a scalar field minimally coupled to gravity, or quintessence, can also be considered as a viable alternative for the cosmological constant. We study $f(R)$ g... |
1705.00398 | Viqar Husain | Syed Moeez Hassan, Viqar Husain | Semiclassical cosmology with polymer matter | 11 pages, 3 figures. (CQG Focus issue: Applications of loop quantum
gravity to cosmology) | Class. Quantum Grav. 34 084003 (2017) | 10.1088/1361-6382/aa6455 | null | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In loop quantum cosmology, polymer quantization is applied to gravity and
Schrodinger quantization to matter. This approach misses interesting
cosmological dynamics coming from the polymer quantization of matter. We
demonstrate this in semiclassical cosmology with a scalar field and
pressureless dust: gravity is kept... | [
{
"created": "Mon, 1 May 2017 01:35:04 GMT",
"version": "v1"
}
] | 2017-05-10 | [
[
"Hassan",
"Syed Moeez",
""
],
[
"Husain",
"Viqar",
""
]
] | In loop quantum cosmology, polymer quantization is applied to gravity and Schrodinger quantization to matter. This approach misses interesting cosmological dynamics coming from the polymer quantization of matter. We demonstrate this in semiclassical cosmology with a scalar field and pressureless dust: gravity is kept c... |
1507.01617 | Pawel Gusin | Pawel Gusin, Bartosz Kusnierz, Andrzej Radosz | Observers in spacetimes with spherical and axial symmetries | 15 pages | null | null | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce in the explicit form the tetrads of arbitrary observers in
spacetimes with spherical and axial symmetries. The observers confined to the
equatorial plane are parametrized by the pair of functions. We apply this
description in the analysis of the null-geodesics in the observers' frames. The
observers with... | [
{
"created": "Mon, 6 Jul 2015 20:50:18 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Aug 2015 07:48:44 GMT",
"version": "v2"
}
] | 2015-08-06 | [
[
"Gusin",
"Pawel",
""
],
[
"Kusnierz",
"Bartosz",
""
],
[
"Radosz",
"Andrzej",
""
]
] | We introduce in the explicit form the tetrads of arbitrary observers in spacetimes with spherical and axial symmetries. The observers confined to the equatorial plane are parametrized by the pair of functions. We apply this description in the analysis of the null-geodesics in the observers' frames. The observers with t... |
2107.00543 | Soumya Chakrabarti | Soumya Chakrabarti (Saha Institute of Nuclear Physics, Kolkata) | Cosmic Variation of Proton to Electron Mass Ratio with an interacting
Higgs Scalar Field | 17 pages, 17 figures, accepted for publication in the Monthly Notices
of the Royal Astronomical Society | null | 10.1093/mnras/stab1910 | null | gr-qc astro-ph.CO astro-ph.HE | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss that it is quite possible to realize the smooth transition of the
universe between a matter/radiation dominated deceleration and a dark energy
dominated acceleration, even with a variation of proton-to-electron mass ratio.
The variation is incorporated into the theory of gravity using a cosmological
Higgs ... | [
{
"created": "Thu, 1 Jul 2021 15:34:24 GMT",
"version": "v1"
}
] | 2021-07-14 | [
[
"Chakrabarti",
"Soumya",
"",
"Saha Institute of Nuclear Physics, Kolkata"
]
] | We discuss that it is quite possible to realize the smooth transition of the universe between a matter/radiation dominated deceleration and a dark energy dominated acceleration, even with a variation of proton-to-electron mass ratio. The variation is incorporated into the theory of gravity using a cosmological Higgs sc... |
0706.0114 | Edward Porter | Edward K. Porter | A New Template Family For The Detection Of Gravitational Waves From
Comparable Mass Black Hole Binaries | Final published version. Accepted for publication in Phys. Rev. D | Phys.Rev.D76:104002,2007 | 10.1103/PhysRevD.76.104002 | null | gr-qc | null | In order to improve the phasing of the comparable-mass waveform as we
approach the last stable orbit for a system, various re-summation methods have
been used to improve the standard post-Newtonian waveforms. In this work we
present a new family of templates for the detection of gravitational waves from
the inspiral ... | [
{
"created": "Fri, 1 Jun 2007 10:15:34 GMT",
"version": "v1"
},
{
"created": "Tue, 4 Sep 2007 12:26:25 GMT",
"version": "v2"
},
{
"created": "Thu, 15 Nov 2007 11:16:12 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Porter",
"Edward K.",
""
]
] | In order to improve the phasing of the comparable-mass waveform as we approach the last stable orbit for a system, various re-summation methods have been used to improve the standard post-Newtonian waveforms. In this work we present a new family of templates for the detection of gravitational waves from the inspiral of... |
2008.10093 | Mourad Halla | Mourad Halla and Volker Perlick | Application of the Gauss-Bonnet theorem to lensing in the NUT metric | null | Gen. Rel. Grav. 52, 112 (2020) | 10.1007/s10714-020-02766-z | null | gr-qc astro-ph.GA math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show with the help of Fermat's principle that every lightlike geodesic in
the NUT metric projects to a geodesic of a two-dimensional Riemannian metric
which we call the optical metric. The optical metric is defined on a
(coordinate) cone whose opening angle is determined by the impact parameter of
the lightlike ge... | [
{
"created": "Sun, 23 Aug 2020 19:06:43 GMT",
"version": "v1"
}
] | 2021-03-25 | [
[
"Halla",
"Mourad",
""
],
[
"Perlick",
"Volker",
""
]
] | We show with the help of Fermat's principle that every lightlike geodesic in the NUT metric projects to a geodesic of a two-dimensional Riemannian metric which we call the optical metric. The optical metric is defined on a (coordinate) cone whose opening angle is determined by the impact parameter of the lightlike geod... |
1608.06940 | Lucien Hardy | Lucien Hardy | Operational General Relativity: Possibilistic, Probabilistic, and
Quantum | 235 pages. Many figures | null | null | null | gr-qc hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we develop an operational formulation of General Relativity
similar in spirit to existing operational formulations of Quantum Theory. To do
this we introduce an operational space (or op-space) built out of scalar
fields. A point in op-space corresponds to some nominated set of scalar fields
taking some ... | [
{
"created": "Wed, 24 Aug 2016 20:00:05 GMT",
"version": "v1"
}
] | 2016-08-26 | [
[
"Hardy",
"Lucien",
""
]
] | In this paper we develop an operational formulation of General Relativity similar in spirit to existing operational formulations of Quantum Theory. To do this we introduce an operational space (or op-space) built out of scalar fields. A point in op-space corresponds to some nominated set of scalar fields taking some gi... |
2201.00502 | Simran Arora | P.K. Sahoo, Sanjay Mandal, Simran Arora | Energy Conditions in Non-minimally Coupled $f(R,T)$ Gravity | Astronomische Nachrichten published version | Astronomische Nachrichten, 342 (2021) 89-95 | 10.1002/asna.202113886 | null | gr-qc hep-th | http://creativecommons.org/licenses/by/4.0/ | In today's scenario, going beyond Einstein's theory of gravity leads us to
some more complete and modified gravity theories. One of them is the $f(R,T)$
gravity in which $ R $ is the Ricci scalar, and $ T $ is the trace of the
energy-momentum tensor. Using a well-motivated linear $f(R,T)$ gravity model
with a single ... | [
{
"created": "Mon, 3 Jan 2022 07:29:56 GMT",
"version": "v1"
}
] | 2022-01-04 | [
[
"Sahoo",
"P. K.",
""
],
[
"Mandal",
"Sanjay",
""
],
[
"Arora",
"Simran",
""
]
] | In today's scenario, going beyond Einstein's theory of gravity leads us to some more complete and modified gravity theories. One of them is the $f(R,T)$ gravity in which $ R $ is the Ricci scalar, and $ T $ is the trace of the energy-momentum tensor. Using a well-motivated linear $f(R,T)$ gravity model with a single pa... |
gr-qc/9905046 | Serguei N. Manida | S.N.Manida (Saint-Petersburg State University) | Fock-Lorentz transformations and time-varying speed of light | 24 pages, LaTeX | null | null | NIIF/99-033 | gr-qc astro-ph physics.ed-ph | null | The theory of relativity was built up on linear Lorentz transformation.
However, in his fundamental work "Theory of Space, Time and Gravitation"
V.A.Fock shows that the general form of the transformation between the
coordinates in the two inertial frames could be taken to be linear fractional.
The implicit form of th... | [
{
"created": "Fri, 14 May 1999 14:28:50 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Manida",
"S. N.",
"",
"Saint-Petersburg State University"
]
] | The theory of relativity was built up on linear Lorentz transformation. However, in his fundamental work "Theory of Space, Time and Gravitation" V.A.Fock shows that the general form of the transformation between the coordinates in the two inertial frames could be taken to be linear fractional. The implicit form of this... |
gr-qc/0405024 | Mauricio Bellini | Jose Edgar Madriz Aguilar (IFM, Michoacana University) and Mauricio
Bellini (Mar del Plata University & CONICET) | Noncompact Kaluza-Klein theory and inflationary cosmology: a complete
formalism | to be published in Phys. Lett. B | Phys.Lett. B596 (2004) 116-122 | 10.1016/j.physletb.2004.06.093 | null | gr-qc hep-ph | null | A formalization of the recently introduced formalism for inflation is
developed from noncompact Kaluza-Klein theory. In particular, the case for a
single scalar field inflationary model is studied. We obtain that the scalar
potential, which assume different representations in different frames, has a
geometrical origi... | [
{
"created": "Wed, 5 May 2004 22:43:50 GMT",
"version": "v1"
},
{
"created": "Fri, 21 May 2004 15:40:28 GMT",
"version": "v2"
},
{
"created": "Mon, 28 Jun 2004 18:40:54 GMT",
"version": "v3"
},
{
"created": "Wed, 7 Jul 2004 13:41:00 GMT",
"version": "v4"
}
] | 2009-11-10 | [
[
"Aguilar",
"Jose Edgar Madriz",
"",
"IFM, Michoacana University"
],
[
"Bellini",
"Mauricio",
"",
"Mar del Plata University & CONICET"
]
] | A formalization of the recently introduced formalism for inflation is developed from noncompact Kaluza-Klein theory. In particular, the case for a single scalar field inflationary model is studied. We obtain that the scalar potential, which assume different representations in different frames, has a geometrical origin. |
1605.02726 | Lorenzo Sebastiani | Shynaray Myrzakul, Ratbay Myrzakulov, Lorenzo Sebastiani | K-essence in Horndeski models | final version, accepted in Astrophys.Space Sci., 14 pages | null | 10.1007/s10509-016-2846-5 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we investigate a simple class of Horndeski models where the
scalar field plays the role of a k-essence fluid. We present several solutions
for early-time universe, namely inflation and cosmological bounce, by making
use of some reconstruction technique. Moreover, we furnish the formalism to
calculate p... | [
{
"created": "Mon, 9 May 2016 11:02:18 GMT",
"version": "v1"
},
{
"created": "Tue, 28 Jun 2016 15:59:02 GMT",
"version": "v2"
}
] | 2016-07-20 | [
[
"Myrzakul",
"Shynaray",
""
],
[
"Myrzakulov",
"Ratbay",
""
],
[
"Sebastiani",
"Lorenzo",
""
]
] | In this paper, we investigate a simple class of Horndeski models where the scalar field plays the role of a k-essence fluid. We present several solutions for early-time universe, namely inflation and cosmological bounce, by making use of some reconstruction technique. Moreover, we furnish the formalism to calculate per... |
gr-qc/9505034 | Stefan Mashkevich | Vladimir S. Mashkevich (Institute of Physics, Kiev) | Indeterministic Quantum Gravity II: Refinements and Developments | null | null | null | IP 5/95 | gr-qc quant-ph | null | This paper is a continuation of the paper [V.S.Mashkevich, gr-qc/9409010].
Indeterministic quantum gravity is a theory that unifies general relativity and
quantum theory involving indeterministic conception, i.e., quantum jumps. By
the same token the theory claims to describe all the universe.
Spacetime is the dire... | [
{
"created": "Fri, 19 May 1995 19:08:44 GMT",
"version": "v1"
}
] | 2016-08-31 | [
[
"Mashkevich",
"Vladimir S.",
"",
"Institute of Physics, Kiev"
]
] | This paper is a continuation of the paper [V.S.Mashkevich, gr-qc/9409010]. Indeterministic quantum gravity is a theory that unifies general relativity and quantum theory involving indeterministic conception, i.e., quantum jumps. By the same token the theory claims to describe all the universe. Spacetime is the direct p... |
0811.4347 | Frans Klinkhamer | F.R. Klinkhamer, G.E. Volovik | Gluonic vacuum, q-theory, and the cosmological constant | 20 pages; v6: published version | Phys.Rev.D79:063527,2009 | 10.1103/PhysRevD.79.063527 | KA-TP-30-2008 | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In previous work, q-theory was introduced to describe the gravitating
macroscopic behavior of a conserved microscopic variable q. In this article,
the gluon condensate of quantum chromodynamics is considered in terms of
q-theory. The remnant vacuum energy density (i.e., cosmological constant) of an
expanding universe... | [
{
"created": "Wed, 26 Nov 2008 19:55:54 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Dec 2008 11:25:05 GMT",
"version": "v2"
},
{
"created": "Thu, 11 Dec 2008 13:27:43 GMT",
"version": "v3"
},
{
"created": "Tue, 6 Jan 2009 16:04:12 GMT",
"version": "v4"
},
{
"cre... | 2009-11-13 | [
[
"Klinkhamer",
"F. R.",
""
],
[
"Volovik",
"G. E.",
""
]
] | In previous work, q-theory was introduced to describe the gravitating macroscopic behavior of a conserved microscopic variable q. In this article, the gluon condensate of quantum chromodynamics is considered in terms of q-theory. The remnant vacuum energy density (i.e., cosmological constant) of an expanding universe i... |
gr-qc/0007015 | Lorenzo Iorio | Erricos C. Pavlis and Lorenzo Iorio | The impact of tidal errors on the determination of the Lense-Thirring
effect from satellite laser ranging | 24 pages, 4 tables, 6 figures, submitted to Int. Journal of Mod.
Phys. D. Changes in auctorship, references and content | Int.J.Mod.Phys.D11:599-618,2002 | 10.1142/S0218271802001883 | null | gr-qc astro-ph physics.geo-ph physics.space-ph | null | The general relativistic Lense-Thirring effect can be detected by means of a
suitable combination of orbital residuals of the laser-ranged LAGEOS and LAGEOS
II satellites. While this observable is not affected by the orbital
perturbation induced by the zonal Earth solid and ocean tides, it is sensitive
to those gener... | [
{
"created": "Mon, 10 Jul 2000 08:49:32 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Jan 2001 16:32:10 GMT",
"version": "v2"
},
{
"created": "Mon, 29 Jan 2001 17:58:03 GMT",
"version": "v3"
}
] | 2008-11-26 | [
[
"Pavlis",
"Erricos C.",
""
],
[
"Iorio",
"Lorenzo",
""
]
] | The general relativistic Lense-Thirring effect can be detected by means of a suitable combination of orbital residuals of the laser-ranged LAGEOS and LAGEOS II satellites. While this observable is not affected by the orbital perturbation induced by the zonal Earth solid and ocean tides, it is sensitive to those generat... |
1704.00353 | Jan Sbierski | Gregory J. Galloway, Eric Ling, Jan Sbierski | Timelike completeness as an obstruction to $C^0$-extensions | v2: pertinent citations added and minor changes, v3: small
refinements and improvements; theorem added, v4: added figure, minor changes,
version accepted for publication in CMP | null | 10.1007/s00220-017-3019-2 | null | gr-qc math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The study of low regularity (in-)extendibility of Lorentzian manifolds is
motivated by the question whether a given solution to the Einstein equations
can be extended (or is maximal) as a weak solution. In this paper we show that
a timelike complete and globally hyperbolic Lorentzian manifold is
$C^0$-inextendible. F... | [
{
"created": "Sun, 2 Apr 2017 19:24:57 GMT",
"version": "v1"
},
{
"created": "Fri, 7 Apr 2017 13:50:58 GMT",
"version": "v2"
},
{
"created": "Fri, 21 Apr 2017 15:39:10 GMT",
"version": "v3"
},
{
"created": "Thu, 2 Nov 2017 16:58:18 GMT",
"version": "v4"
}
] | 2017-12-06 | [
[
"Galloway",
"Gregory J.",
""
],
[
"Ling",
"Eric",
""
],
[
"Sbierski",
"Jan",
""
]
] | The study of low regularity (in-)extendibility of Lorentzian manifolds is motivated by the question whether a given solution to the Einstein equations can be extended (or is maximal) as a weak solution. In this paper we show that a timelike complete and globally hyperbolic Lorentzian manifold is $C^0$-inextendible. For... |
1311.5307 | Rong-Jia Yang | Rong-Jia Yang, Bohai Chen, Jun Li, Jingzhao Qi | The evolution of the power law k-essence cosmology | 9 pages, 4 figures, some comments are added | Astrophys. Space Sci. 356 (2015) 399-405 | 10.1007/s10509-014-2218-y | null | gr-qc astro-ph.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the evolution of the power law k-essence field in FRWL
spacetime. The autonomous dynamical system and critical points are obtained.
The corresponding cosmological parameters, such as $\Omega _{\phi }$ and
$w_{\phi }$, are calculated at these critical points. We find it is possible to
achieve an equatio... | [
{
"created": "Thu, 21 Nov 2013 03:54:30 GMT",
"version": "v1"
},
{
"created": "Thu, 23 Jan 2014 10:01:36 GMT",
"version": "v2"
},
{
"created": "Sun, 22 Mar 2015 14:16:49 GMT",
"version": "v3"
}
] | 2015-03-24 | [
[
"Yang",
"Rong-Jia",
""
],
[
"Chen",
"Bohai",
""
],
[
"Li",
"Jun",
""
],
[
"Qi",
"Jingzhao",
""
]
] | We investigate the evolution of the power law k-essence field in FRWL spacetime. The autonomous dynamical system and critical points are obtained. The corresponding cosmological parameters, such as $\Omega _{\phi }$ and $w_{\phi }$, are calculated at these critical points. We find it is possible to achieve an equation ... |
1612.09308 | Charalampos Markakis | Charalampos Markakis, K\=oji Ury\=u, Eric Gourgoulhon, Jean-Philippe
Nicolas, Nils Andersson, Athina Pouri, Vojtech Witzany | Conservation laws and evolution schemes in geodesic, hydrodynamic and
magnetohydrodynamic flows | 23 pages | Phys. Rev. D 96, 064019 (2017) | 10.1103/PhysRevD.96.064019 | null | gr-qc astro-ph.HE math-ph math.MP physics.flu-dyn | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Carter and Lichnerowicz have established that barotropic fluid flows are
conformally geodesic and obey Hamilton's principle. This variational approach
can accommodate neutral, or charged and poorly conducting, fluids. We show
that, unlike what has been previously thought, this approach can also
accommodate perfectly ... | [
{
"created": "Thu, 29 Dec 2016 21:16:34 GMT",
"version": "v1"
}
] | 2017-09-20 | [
[
"Markakis",
"Charalampos",
""
],
[
"Uryū",
"Kōji",
""
],
[
"Gourgoulhon",
"Eric",
""
],
[
"Nicolas",
"Jean-Philippe",
""
],
[
"Andersson",
"Nils",
""
],
[
"Pouri",
"Athina",
""
],
[
"Witzany",
"Vojtech",
""... | Carter and Lichnerowicz have established that barotropic fluid flows are conformally geodesic and obey Hamilton's principle. This variational approach can accommodate neutral, or charged and poorly conducting, fluids. We show that, unlike what has been previously thought, this approach can also accommodate perfectly co... |
1403.2424 | Shahram Jalalzadeh | S. Jalalzadeh and P. V. Moniz | Dirac observables and boundary proposals in quantum cosmology | 6 pages, no figures, to appear in Phys. Rev. D | Phys. Rev. D 89, (2014) 083504 | 10.1103/PhysRevD.89.083504 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the reduced phase space quantization of a closed Friedmann Universe,
where matter content is constituted by two (no-interacting) fluids, namely dust
(or cold dark matter) and radiation. It is shown that, for this particular
model, specific boundary conditions can be related to the algebra of Dirac
observable... | [
{
"created": "Mon, 10 Mar 2014 21:57:28 GMT",
"version": "v1"
}
] | 2014-07-28 | [
[
"Jalalzadeh",
"S.",
""
],
[
"Moniz",
"P. V.",
""
]
] | We study the reduced phase space quantization of a closed Friedmann Universe, where matter content is constituted by two (no-interacting) fluids, namely dust (or cold dark matter) and radiation. It is shown that, for this particular model, specific boundary conditions can be related to the algebra of Dirac observables. |
gr-qc/9704018 | Alan Gray Wiseman | Alan G. Wiseman (Caltech) | The central density of neutron stars in close binaries | RevTex, submitted to PRL, 4 pages | Phys.Rev.Lett. 79 (1997) 1189-1192 | 10.1103/PhysRevLett.79.1189 | GRP-463 | gr-qc | null | Recent numerical simulations of coalescing binary neutron stars conducted by
Wilson, Mathews and Marronetti (WMM) show a rising central energy density of
the stars as the orbital separation shrinks, i.e. the stars are individually
crushed as they near coalescence. They claim this ``star-crushing'' effect is
partially... | [
{
"created": "Tue, 8 Apr 1997 01:27:17 GMT",
"version": "v1"
}
] | 2009-10-30 | [
[
"Wiseman",
"Alan G.",
"",
"Caltech"
]
] | Recent numerical simulations of coalescing binary neutron stars conducted by Wilson, Mathews and Marronetti (WMM) show a rising central energy density of the stars as the orbital separation shrinks, i.e. the stars are individually crushed as they near coalescence. They claim this ``star-crushing'' effect is partially d... |
2401.01567 | Ran Chen | Ran Chen, Yi-Ying Wang, Lei Zu, and Yi-Zhong Fan | Prospects of constraining $f(T)$ gravity with the third-generation
gravitational-wave detectors | 12 pages, 6 figures, 3 tables | Phys. Rev. D 109, 024041 (2024) | 10.1103/PhysRevD.109.024041 | null | gr-qc astro-ph.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Mergers of binary compact objects, accompanied with electromagnetic (EM)
counterparts, offer excellent opportunities to explore varied cosmological
models, since gravitational waves (GWs) and EM counterparts always carry the
information of luminosity distance and redshift, respectively. $f(T)$ gravity,
which alters t... | [
{
"created": "Wed, 3 Jan 2024 06:44:26 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Jan 2024 06:50:44 GMT",
"version": "v2"
}
] | 2024-01-31 | [
[
"Chen",
"Ran",
""
],
[
"Wang",
"Yi-Ying",
""
],
[
"Zu",
"Lei",
""
],
[
"Fan",
"Yi-Zhong",
""
]
] | Mergers of binary compact objects, accompanied with electromagnetic (EM) counterparts, offer excellent opportunities to explore varied cosmological models, since gravitational waves (GWs) and EM counterparts always carry the information of luminosity distance and redshift, respectively. $f(T)$ gravity, which alters the... |
2101.08186 | Subhajit Barman | Subhajit Barman and Bibhas Ranjan Majhi | Radiative process of two entangled uniformly accelerated atoms in a
thermal bath: a possible case of anti-Unruh event | Minor modifications, to appear in JHEP | JHEP 03 (2021) 245 | 10.1007/JHEP03(2021)245 | null | gr-qc hep-th quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the radiative process of two entangled two-level atoms uniformly
accelerated in a thermal bath, coupled to a massless scalar field. First, using
the positive frequency Wightman function from the Minkowski modes with a
Rindler transformation we provide the transition probabilities for the
transitions from max... | [
{
"created": "Wed, 20 Jan 2021 15:31:13 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Feb 2021 10:00:19 GMT",
"version": "v2"
}
] | 2021-05-25 | [
[
"Barman",
"Subhajit",
""
],
[
"Majhi",
"Bibhas Ranjan",
""
]
] | We study the radiative process of two entangled two-level atoms uniformly accelerated in a thermal bath, coupled to a massless scalar field. First, using the positive frequency Wightman function from the Minkowski modes with a Rindler transformation we provide the transition probabilities for the transitions from maxim... |
1902.01703 | Hooman Moradpour | H. Moradpour, C. Corda, A. H. Ziaie, S. Ghaffari | The extended uncertainty principle inspires the R\'{e}nyi entropy | null | EPL, (2019) | 10.1209/0295-5075/127/60006 | 127, 60006 | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We use the extended uncertainty principle (EUP) in order to obtain the
R\'{e}nyi entropy for a black hole (BH). The result implies that the
non-extensivity parameter, appeared in the R\'{e}nyi entropy formalism, may be
evaluated from the considerations which lead to EUP. It is also shown that, for
excited BHs, the R\... | [
{
"created": "Sun, 3 Feb 2019 05:12:57 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Jun 2019 07:56:10 GMT",
"version": "v2"
}
] | 2019-11-12 | [
[
"Moradpour",
"H.",
""
],
[
"Corda",
"C.",
""
],
[
"Ziaie",
"A. H.",
""
],
[
"Ghaffari",
"S.",
""
]
] | We use the extended uncertainty principle (EUP) in order to obtain the R\'{e}nyi entropy for a black hole (BH). The result implies that the non-extensivity parameter, appeared in the R\'{e}nyi entropy formalism, may be evaluated from the considerations which lead to EUP. It is also shown that, for excited BHs, the R\'{... |
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