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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1911.00414 | Georgios Lukes-Gerakopoulos | Ond\v{r}ej Zelenka, Georgios Lukes-Gerakopoulos, Vojt\v{e}ch Witzany
and Ond\v{r}ej Kop\'a\v{c}ek | Growth of resonances and chaos for a spinning test particle in the
Schwarzschild background | 18 pages, 14 figures | Phys. Rev. D 101, 024037 (2020) | 10.1103/PhysRevD.101.024037 | null | gr-qc nlin.CD | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Inspirals of stellar mass compact objects into supermassive black holes are
known as extreme mass ratio inspirals. In the simplest approximation, the
motion of the compact object is modeled as a geodesic in the space-time of the
massive black hole with the orbit decaying due to radiated energy and angular
momentum, t... | [
{
"created": "Fri, 1 Nov 2019 14:45:27 GMT",
"version": "v1"
}
] | 2020-01-22 | [
[
"Zelenka",
"Ondřej",
""
],
[
"Lukes-Gerakopoulos",
"Georgios",
""
],
[
"Witzany",
"Vojtěch",
""
],
[
"Kopáček",
"Ondřej",
""
]
] | Inspirals of stellar mass compact objects into supermassive black holes are known as extreme mass ratio inspirals. In the simplest approximation, the motion of the compact object is modeled as a geodesic in the space-time of the massive black hole with the orbit decaying due to radiated energy and angular momentum, thu... |
1010.6175 | Spiros Cotsakis | I. Antoniadis, S. Cotsakis, I. klaoudatou | Brane singularities and their avoidance | 37 pages, latex, merged version of arXiv:1005.3221 and
arXiv:1004.3379, to appear in Class.Quant.Grav | Class.Quant.Grav.27:235018,2010 | 10.1088/0264-9381/27/23/235018 | null | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The singularity structure and the corresponding asymptotic behavior of a
3-brane coupled to a scalar field or to a perfect fluid in a five-dimensional
bulk is analyzed in full generality using the method of asymptotic splittings.
In the case of the scalar field, it is shown that the collapse singularity at a
finite d... | [
{
"created": "Fri, 29 Oct 2010 10:30:40 GMT",
"version": "v1"
}
] | 2010-12-01 | [
[
"Antoniadis",
"I.",
""
],
[
"Cotsakis",
"S.",
""
],
[
"klaoudatou",
"I.",
""
]
] | The singularity structure and the corresponding asymptotic behavior of a 3-brane coupled to a scalar field or to a perfect fluid in a five-dimensional bulk is analyzed in full generality using the method of asymptotic splittings. In the case of the scalar field, it is shown that the collapse singularity at a finite dis... |
1702.08768 | Oleg Tsupko | Volker Perlick and Oleg Yu. Tsupko | Light propagation in a plasma on Kerr spacetime: Separation of the
Hamilton-Jacobi equation and calculation of the shadow | 19 pages, 6 figures; minor reformulations | Phys. Rev. D 95, 104003 (2017) | 10.1103/PhysRevD.95.104003 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider light propagation in a non-magnetized pressureless plasma around
a Kerr black hole. We find the necessary and sufficient condition the plasma
electron density has to satisfy to guarantee that the Hamilton-Jacobi equation
for the light rays is separable, i.e., that a generalized Carter constant
exists. For... | [
{
"created": "Tue, 28 Feb 2017 12:48:52 GMT",
"version": "v1"
},
{
"created": "Mon, 15 May 2017 14:40:39 GMT",
"version": "v2"
}
] | 2017-05-16 | [
[
"Perlick",
"Volker",
""
],
[
"Tsupko",
"Oleg Yu.",
""
]
] | We consider light propagation in a non-magnetized pressureless plasma around a Kerr black hole. We find the necessary and sufficient condition the plasma electron density has to satisfy to guarantee that the Hamilton-Jacobi equation for the light rays is separable, i.e., that a generalized Carter constant exists. For a... |
2304.02378 | Ra\'ul Mart\'inez-Boh\'orquez | Ra\'ul Mart\'inez-Boh\'orquez | On the existence of the electromagnetic energy tensor in second order
Lovelock gravities | null | International Journal of Geometric Methods in Modern Physics
(2023) | 10.1142/S021988782450035X | null | gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we prove that there are no electromagnetic energy tensors in
second order Lovelock gravities that verify properties equivalent to those of
the Maxwell electromagnetic energy tensor in General Relativity.
| [
{
"created": "Wed, 5 Apr 2023 11:32:47 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Aug 2023 10:27:03 GMT",
"version": "v2"
}
] | 2023-09-12 | [
[
"Martínez-Bohórquez",
"Raúl",
""
]
] | In this work we prove that there are no electromagnetic energy tensors in second order Lovelock gravities that verify properties equivalent to those of the Maxwell electromagnetic energy tensor in General Relativity. |
2210.17259 | Pan Li | Pan Li, Yi Ling, Zhangping Yu | The generation rate of quantum gravity induced entanglement with
multiple massive particles | minor changes, references added | null | 10.1103/PhysRevD.107.064054 | null | gr-qc quant-ph | http://creativecommons.org/licenses/by/4.0/ | We investigate the generation rate of quantum gravity induced entanglement of
masses(QGEM) in setup with multiple quantum massive particles, among of which
only the gravity interaction due to the Newton potential is taken into account.
When the distance between any two adjacent Stern-Gerlach (SG) devices is fixed,
we... | [
{
"created": "Mon, 31 Oct 2022 12:30:56 GMT",
"version": "v1"
},
{
"created": "Sun, 6 Nov 2022 12:05:52 GMT",
"version": "v2"
}
] | 2023-03-27 | [
[
"Li",
"Pan",
""
],
[
"Ling",
"Yi",
""
],
[
"Yu",
"Zhangping",
""
]
] | We investigate the generation rate of quantum gravity induced entanglement of masses(QGEM) in setup with multiple quantum massive particles, among of which only the gravity interaction due to the Newton potential is taken into account. When the distance between any two adjacent Stern-Gerlach (SG) devices is fixed, we c... |
2301.04950 | Alireza Amani | E. Mahichi and Alireza Amani | The interaction of extended Bose-Einstein condensate dark matter with
viscous $f(T, B)$ gravity | 20 pages, 5 figures. arXiv admin note: text overlap with
arXiv:2107.11827 | Physics of the Dark Universe 39 (2023) 101167 | 10.1016/j.dark.2023.101167 | null | gr-qc hep-th | http://creativecommons.org/licenses/by-nc-nd/4.0/ | In this paper, we study the viscous $f(T, B)$ gravity model as a source of
dark energy, and the Extended Bose-Einstein Condensate (EBEC) as a source of
dark matter, in a flat-FRW metric. In the presence of bulk viscosity, we obtain
Friedmann equations and write two continuity equations of dark energy and dark
matter ... | [
{
"created": "Thu, 12 Jan 2023 11:44:06 GMT",
"version": "v1"
}
] | 2023-01-13 | [
[
"Mahichi",
"E.",
""
],
[
"Amani",
"Alireza",
""
]
] | In this paper, we study the viscous $f(T, B)$ gravity model as a source of dark energy, and the Extended Bose-Einstein Condensate (EBEC) as a source of dark matter, in a flat-FRW metric. In the presence of bulk viscosity, we obtain Friedmann equations and write two continuity equations of dark energy and dark matter by... |
2109.13667 | Zhongwen Feng | Zhong-Wen Feng, Xia Zhou, Shi-Qi Zhou, Shu-Zheng Yang | Quantum corrections to the thermodynamics and phase transition of a
black hole surrounded by a cavity in the extended phase space | 9 pages, 7 figures | Commun.Theor.Phys. 2022, 74: 085403 | 10.1088/1572-9494/ac770d | null | gr-qc | http://creativecommons.org/licenses/by-nc-sa/4.0/ | In the extended phase space, we investigate the rainbow gravity-corrected
thermodynamic phenomena and phase structure of the Schwarzschild black hole
surrounded by a spherical cavity. The results show that rainbow gravity has a
very significant effect on the thermodynamic phenomena and phase structure of
the black ho... | [
{
"created": "Mon, 27 Sep 2021 13:34:21 GMT",
"version": "v1"
},
{
"created": "Thu, 30 Sep 2021 09:17:46 GMT",
"version": "v2"
},
{
"created": "Sat, 25 Dec 2021 02:55:01 GMT",
"version": "v3"
},
{
"created": "Thu, 9 Jun 2022 13:39:00 GMT",
"version": "v4"
}
] | 2022-08-30 | [
[
"Feng",
"Zhong-Wen",
""
],
[
"Zhou",
"Xia",
""
],
[
"Zhou",
"Shi-Qi",
""
],
[
"Yang",
"Shu-Zheng",
""
]
] | In the extended phase space, we investigate the rainbow gravity-corrected thermodynamic phenomena and phase structure of the Schwarzschild black hole surrounded by a spherical cavity. The results show that rainbow gravity has a very significant effect on the thermodynamic phenomena and phase structure of the black hole... |
1812.07865 | Vijay Varma | Vijay Varma, Scott E. Field, Mark A. Scheel, Jonathan Blackman,
Lawrence E. Kidder, and Harald P. Pfeiffer | Surrogate model of hybridized numerical relativity binary black hole
waveforms | Matches PRD version. Model publicly available at
https://zenodo.org/record/2549618#.XJvMrutKii4. 18 pages, 12 figures | Phys. Rev. D 99, 064045 (2019) | 10.1103/PhysRevD.99.064045 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Numerical relativity (NR) simulations provide the most accurate binary black
hole gravitational waveforms, but are prohibitively expensive for applications
such as parameter estimation. Surrogate models of NR waveforms have been shown
to be both fast and accurate. However, NR-based surrogate models are limited by
the... | [
{
"created": "Wed, 19 Dec 2018 10:39:07 GMT",
"version": "v1"
},
{
"created": "Sat, 26 Jan 2019 01:50:19 GMT",
"version": "v2"
},
{
"created": "Wed, 27 Mar 2019 19:24:14 GMT",
"version": "v3"
}
] | 2019-04-03 | [
[
"Varma",
"Vijay",
""
],
[
"Field",
"Scott E.",
""
],
[
"Scheel",
"Mark A.",
""
],
[
"Blackman",
"Jonathan",
""
],
[
"Kidder",
"Lawrence E.",
""
],
[
"Pfeiffer",
"Harald P.",
""
]
] | Numerical relativity (NR) simulations provide the most accurate binary black hole gravitational waveforms, but are prohibitively expensive for applications such as parameter estimation. Surrogate models of NR waveforms have been shown to be both fast and accurate. However, NR-based surrogate models are limited by the t... |
1112.2695 | Marc Casals | Marc Casals and Adrian C. Ottewill | The Branch Cut and Quasi-normal Modes at Large Imaginary Frequency in
Schwarzschild Space-time | 26 pages, 14 figures. Modifications in version 2: inclusion of spin=1
as well as expressions for the QNM sum and some corrections, all in Sec.V.
Minor corrections in the rest of the paper | null | 10.1103/PhysRevD.86.024021 | null | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The 'retarded' Green function for fields propagating on a Schwarzschild black
hole spacetime possesses a branch cut on the complex frequency plane.
Classically, the branch cut is important, for example, in order to fully
determine the response of the black hole to a linear field perturbation. The
branch cut is also u... | [
{
"created": "Mon, 12 Dec 2011 20:58:05 GMT",
"version": "v1"
},
{
"created": "Fri, 17 Feb 2012 20:10:57 GMT",
"version": "v2"
}
] | 2013-05-30 | [
[
"Casals",
"Marc",
""
],
[
"Ottewill",
"Adrian C.",
""
]
] | The 'retarded' Green function for fields propagating on a Schwarzschild black hole spacetime possesses a branch cut on the complex frequency plane. Classically, the branch cut is important, for example, in order to fully determine the response of the black hole to a linear field perturbation. The branch cut is also use... |
2010.15544 | Gang Wang | Gang Wang, Wei-Tou Ni, Wen-Biao Han, Cong-Feng Qiao | Algorithm for TDI numerical simulation and sensitivity investigation | 13 pages, 8 figures | Phys. Rev. D 103, 122006 (2021) | 10.1103/PhysRevD.103.122006 | null | gr-qc astro-ph.IM | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce a generic algorithm to determine the time delays and spacecraft
(S/C) positions to compose any time-delay interferometry (TDI) channel in the
dynamical case and evaluate its sensitivity by using a full numerical method.
We select 11 second-generation TDI channels constructed from four approaches
and inve... | [
{
"created": "Thu, 29 Oct 2020 13:24:04 GMT",
"version": "v1"
},
{
"created": "Tue, 16 Feb 2021 03:08:16 GMT",
"version": "v2"
},
{
"created": "Thu, 3 Jun 2021 13:13:07 GMT",
"version": "v3"
}
] | 2021-06-30 | [
[
"Wang",
"Gang",
""
],
[
"Ni",
"Wei-Tou",
""
],
[
"Han",
"Wen-Biao",
""
],
[
"Qiao",
"Cong-Feng",
""
]
] | We introduce a generic algorithm to determine the time delays and spacecraft (S/C) positions to compose any time-delay interferometry (TDI) channel in the dynamical case and evaluate its sensitivity by using a full numerical method. We select 11 second-generation TDI channels constructed from four approaches and invest... |
1511.08969 | Mehdi Saravani | Michael Meiers, Mehdi Saravani and Niayesh Afshordi | Cosmic Censorship in Lorentz Violating Theories of Gravity | null | Phys. Rev. D 93, 104008 (2016) | 10.1103/PhysRevD.93.104008 | null | gr-qc astro-ph.CO hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Is Cosmic Censorship special to General Relativity, or can it survive a
violation of equivalence principle? Recent studies have shown that
singularities in Lorentz violating Einstein-Aether (or Horava-Lifhsitz)
theories can lie behind a universal horizon in simple black hole spacetimes.
Even infinitely fast signals c... | [
{
"created": "Sun, 29 Nov 2015 05:20:38 GMT",
"version": "v1"
}
] | 2016-05-11 | [
[
"Meiers",
"Michael",
""
],
[
"Saravani",
"Mehdi",
""
],
[
"Afshordi",
"Niayesh",
""
]
] | Is Cosmic Censorship special to General Relativity, or can it survive a violation of equivalence principle? Recent studies have shown that singularities in Lorentz violating Einstein-Aether (or Horava-Lifhsitz) theories can lie behind a universal horizon in simple black hole spacetimes. Even infinitely fast signals can... |
0902.4787 | Gian Luigi Alberghi | G.L.Alberghi | CMB: A Look Inside the Inflaton | 4 figures | null | null | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that if the field seeding the formation of the cosmic structures is a
dynamically arising bosonic condensate, the features we observe in the CMB
might be interpreted as a manifestation of its compositeness.
| [
{
"created": "Fri, 27 Feb 2009 10:02:55 GMT",
"version": "v1"
}
] | 2009-03-02 | [
[
"Alberghi",
"G. L.",
""
]
] | We show that if the field seeding the formation of the cosmic structures is a dynamically arising bosonic condensate, the features we observe in the CMB might be interpreted as a manifestation of its compositeness. |
2408.06829 | Salomeh Khoeini-Moghaddam | Salomeh Khoeini-Moghaddam | Tachyon Inflation in $R+R^2$ Background | null | null | null | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The presence of a tachyon field in $R+\mu R^2$ is considered. Our analysis
shows that the contribution of the tachyon field in energy density is
suppressed, but it affects cosmological parameters.
| [
{
"created": "Tue, 13 Aug 2024 11:39:30 GMT",
"version": "v1"
}
] | 2024-08-14 | [
[
"Khoeini-Moghaddam",
"Salomeh",
""
]
] | The presence of a tachyon field in $R+\mu R^2$ is considered. Our analysis shows that the contribution of the tachyon field in energy density is suppressed, but it affects cosmological parameters. |
gr-qc/9903019 | Kostas Kokkotas | H.R. Beyer and K.D. Kokkotas | On the r-mode spectrum of relativistic stars | 6 pages, no figures | Mon.Not.Roy.Astron.Soc. 308 (1999) 745-750 | 10.1046/j.1365-8711.1999.02739.x | null | gr-qc | null | We present a mathematically rigorous proof that the r-mode spectrum of
relativistic stars to the rotational lowest order has a continuous part. A
rigorous definition of this spectrum is given in terms of the spectrum of a
continuous linear operator. This study verifies earlier results by Kojima
(1998) about the natur... | [
{
"created": "Fri, 5 Mar 1999 12:37:41 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Beyer",
"H. R.",
""
],
[
"Kokkotas",
"K. D.",
""
]
] | We present a mathematically rigorous proof that the r-mode spectrum of relativistic stars to the rotational lowest order has a continuous part. A rigorous definition of this spectrum is given in terms of the spectrum of a continuous linear operator. This study verifies earlier results by Kojima (1998) about the nature ... |
1209.3726 | Valerio Faraoni | Valerio Faraoni and Charles S. Protheroe (Bishop's University) | Scalar field cosmology in phase space | 24 pages, 3 figures, to appear in General Relativity and Gravitation | null | 10.1007/s10714-012-1462-0 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Using dynamical systems methods, we describe the evolution of a minimally
coupled scalar field and a Friedmann-Lemaitre-Robertson-Walker universe in the
context of general relativity, which is relevant for inflation and late-time
quintessence eras. Focussing on the spatially flat case, we examine the
geometrical stru... | [
{
"created": "Mon, 17 Sep 2012 17:18:59 GMT",
"version": "v1"
}
] | 2015-06-11 | [
[
"Faraoni",
"Valerio",
"",
"Bishop's University"
],
[
"Protheroe",
"Charles S.",
"",
"Bishop's University"
]
] | Using dynamical systems methods, we describe the evolution of a minimally coupled scalar field and a Friedmann-Lemaitre-Robertson-Walker universe in the context of general relativity, which is relevant for inflation and late-time quintessence eras. Focussing on the spatially flat case, we examine the geometrical struct... |
1309.2036 | Olivier Sarbach | Olivier Sarbach and Thomas Zannias | The geometry of the tangent bundle and the relativistic kinetic theory
of gases | 30 pages, 2 figures (including one new figure illustrating the
connection map). References have been added along with a new section briefly
discussing the Newtonian limit | Class.Quant.Grav. 31 (2014) 085013 | 10.1088/0264-9381/31/8/085013 | null | gr-qc cond-mat.stat-mech hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This article discusses the relativistic kinetic theory for a simple
collisionless gas from a geometric perspective. We start by reviewing the rich
geometrical structure of the tangent bundle TM of a given spacetime manifold,
including the splitting of the tangent spaces of TM into horizontal and
vertical subspaces an... | [
{
"created": "Mon, 9 Sep 2013 03:36:53 GMT",
"version": "v1"
},
{
"created": "Thu, 3 Apr 2014 20:52:04 GMT",
"version": "v2"
}
] | 2014-06-17 | [
[
"Sarbach",
"Olivier",
""
],
[
"Zannias",
"Thomas",
""
]
] | This article discusses the relativistic kinetic theory for a simple collisionless gas from a geometric perspective. We start by reviewing the rich geometrical structure of the tangent bundle TM of a given spacetime manifold, including the splitting of the tangent spaces of TM into horizontal and vertical subspaces and ... |
1204.4319 | Deyou Chen | Deyou Chen and Haitang Yang | Spectroscopy of the Einstein-Maxwell-Dilaton-Axion black hole | 9 pages | General Relativity and Gravitation, Volume 44, 2012, Issue 10,
pp.2529-2536 | 10.1007/s10714-012-1410-z | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The entropy spectrum of a spherically symmetric black hole was derived via
the Bohr-Sommerfeld quantization rule in Majhi and Vagenas's work. Extending
this work to charged and rotating black holes, we quantize the horizon area and
the entropy of an Einstein-Maxwell-Dilaton-Axion (EMDA) black hole via the
Bohr-Sommer... | [
{
"created": "Thu, 19 Apr 2012 11:39:18 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Oct 2012 13:52:00 GMT",
"version": "v2"
}
] | 2015-06-04 | [
[
"Chen",
"Deyou",
""
],
[
"Yang",
"Haitang",
""
]
] | The entropy spectrum of a spherically symmetric black hole was derived via the Bohr-Sommerfeld quantization rule in Majhi and Vagenas's work. Extending this work to charged and rotating black holes, we quantize the horizon area and the entropy of an Einstein-Maxwell-Dilaton-Axion (EMDA) black hole via the Bohr-Sommerfe... |
1405.6396 | David Garfinkle | Alexander Tolish, Lydia Bieri, David Garfinkle, and Robert M. Wald | Examination of a simple example of gravitational wave memory | null | Phys. Rev. D 90, 044060 (2014) | 10.1103/PhysRevD.90.044060 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine a simple example of gravitational wave memory due to the decay of
a point particle into two point particles. In the case where one of the decay
products is null, there are two types of memory: a null memory due to the null
particle and an ordinary memory due to the recoiling timelike particle. In the
case ... | [
{
"created": "Sun, 25 May 2014 15:31:35 GMT",
"version": "v1"
}
] | 2014-09-05 | [
[
"Tolish",
"Alexander",
""
],
[
"Bieri",
"Lydia",
""
],
[
"Garfinkle",
"David",
""
],
[
"Wald",
"Robert M.",
""
]
] | We examine a simple example of gravitational wave memory due to the decay of a point particle into two point particles. In the case where one of the decay products is null, there are two types of memory: a null memory due to the null particle and an ordinary memory due to the recoiling timelike particle. In the case wh... |
1911.08624 | Iarley P. Lobo Dr | I. P. Lobo, V. B. Bezerra, J. P. Morais Gra\c{c}a, Luis C. N. Santos,
M. Ronco | Effects of Planck-scale-modified dispersion relations on the
thermodynamics of charged black holes | 16 pages, 8 figures | Phys. Rev. D 101, 084004 (2020) | 10.1103/PhysRevD.101.084004 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Considering corrections produced by modified dispersion relations on the
equation of state parameter of radiation, we study the induced black hole
metric inspired by Kiselev's ansatz, thus defining a deformed
Reissner-Nordstr\"{o}m metric. In particular, we consider thermodynamic
properties of such a black hole from ... | [
{
"created": "Tue, 19 Nov 2019 23:12:13 GMT",
"version": "v1"
},
{
"created": "Thu, 2 Apr 2020 14:37:38 GMT",
"version": "v2"
}
] | 2020-04-03 | [
[
"Lobo",
"I. P.",
""
],
[
"Bezerra",
"V. B.",
""
],
[
"Graça",
"J. P. Morais",
""
],
[
"Santos",
"Luis C. N.",
""
],
[
"Ronco",
"M.",
""
]
] | Considering corrections produced by modified dispersion relations on the equation of state parameter of radiation, we study the induced black hole metric inspired by Kiselev's ansatz, thus defining a deformed Reissner-Nordstr\"{o}m metric. In particular, we consider thermodynamic properties of such a black hole from th... |
gr-qc/9806025 | Claude Barrabes | C. Barrab\`es and P.A. Hogan | Light-like Signals in General relativity and Cosmology | 21 pages, latex, no figures | Phys.Rev. D58 (1998) 044013 | 10.1103/PhysRevD.58.044013 | null | gr-qc | null | The modelling of light-like signals in General Relativity taking the form of
impulsive gravitational waves and light-like shells of matter is examined.
Systematic deductions from the Bianchi identities are made. These are based
upon Penrose's hierarchical classification of the geometry induced on the null
hypersurfac... | [
{
"created": "Thu, 4 Jun 1998 14:50:15 GMT",
"version": "v1"
}
] | 2009-10-31 | [
[
"Barrabès",
"C.",
""
],
[
"Hogan",
"P. A.",
""
]
] | The modelling of light-like signals in General Relativity taking the form of impulsive gravitational waves and light-like shells of matter is examined. Systematic deductions from the Bianchi identities are made. These are based upon Penrose's hierarchical classification of the geometry induced on the null hypersurface ... |
gr-qc/0109085 | Emilio Elizalde | Alexander Burinskii, Emilio Elizalde, Sergi R. Hildebrandt, Giulio
Magli | Regular Sources of the Kerr-Schild class for Rotating and Nonrotating
Black Hole Solutions | LaTeX, 26 pages, 6 figures | Phys.Rev.D65:064039,2002 | 10.1103/PhysRevD.65.064039 | null | gr-qc astro-ph hep-th math-ph math.MP | null | A unified approach to regular interiors of black holes with smooth matter
distributions in the core region is given. The approach is based on a class of
Kerr-Schild metrics representing minimal deformations of the Kerr-Newman
solution, and allows us to give a common treatment for (charged and uncharged)
rotating and ... | [
{
"created": "Tue, 25 Sep 2001 16:40:49 GMT",
"version": "v1"
},
{
"created": "Fri, 22 Mar 2002 10:04:21 GMT",
"version": "v2"
}
] | 2010-11-19 | [
[
"Burinskii",
"Alexander",
""
],
[
"Elizalde",
"Emilio",
""
],
[
"Hildebrandt",
"Sergi R.",
""
],
[
"Magli",
"Giulio",
""
]
] | A unified approach to regular interiors of black holes with smooth matter distributions in the core region is given. The approach is based on a class of Kerr-Schild metrics representing minimal deformations of the Kerr-Newman solution, and allows us to give a common treatment for (charged and uncharged) rotating and no... |
1806.08897 | Dominik \v{S}afr\'anek | Joshua M. Deutsch, Dominik \v{S}afr\'anek, and Anthony Aguirre | Probabilistic bound on extreme fluctuations in isolated quantum systems | 11+5 pages, 4 figures. v2: extended figures and discussions of
probability of a particle collapse into a small region of space. Title
changed | Phys. Rev. E 101, 032112 (2020) | 10.1103/PhysRevE.101.032112 | null | gr-qc quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We ask to what extent an isolated quantum system can eventually "contract" to
be contained within a given Hilbert subspace. We do this by starting with an
initial random state, considering the probability that all the particles will
be measured in a fixed subspace, and maximizing this probability over all time.
This ... | [
{
"created": "Sat, 23 Jun 2018 02:53:07 GMT",
"version": "v1"
},
{
"created": "Wed, 13 May 2020 04:30:09 GMT",
"version": "v2"
}
] | 2020-05-14 | [
[
"Deutsch",
"Joshua M.",
""
],
[
"Šafránek",
"Dominik",
""
],
[
"Aguirre",
"Anthony",
""
]
] | We ask to what extent an isolated quantum system can eventually "contract" to be contained within a given Hilbert subspace. We do this by starting with an initial random state, considering the probability that all the particles will be measured in a fixed subspace, and maximizing this probability over all time. This is... |
0901.1017 | Mariano Cadoni | M. Cadoni, M. Casula | General models of Einstein gravity with a non-Newtonian weak-field limit | 9 pages | Gen.Rel.Grav.42:103-112,2010 | 10.1007/s10714-009-0820-z | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate Einstein theories of gravity, coupled to a scalar field \vphi
and point-like matter, which are characterized by a scalar field-dependent
matter coupling function e^{H(\vphi)}. We show that under mild constraints on
the form of the potential for the scalar field, there are a broad class of
Einstein-like... | [
{
"created": "Thu, 8 Jan 2009 11:06:10 GMT",
"version": "v1"
}
] | 2014-11-18 | [
[
"Cadoni",
"M.",
""
],
[
"Casula",
"M.",
""
]
] | We investigate Einstein theories of gravity, coupled to a scalar field \vphi and point-like matter, which are characterized by a scalar field-dependent matter coupling function e^{H(\vphi)}. We show that under mild constraints on the form of the potential for the scalar field, there are a broad class of Einstein-like g... |
1504.02069 | Lars Andersson | Lars Andersson, Thomas B\"ackdahl and Pieter Blue | Spin geometry and conservation laws in the Kerr spacetime | 30 pages. To appear in the volume "The Centenary of General
Relativity" in "Surveys in Differential Geometry", edited by Lydia Bieri and
Shing-Tung Yau, in the series "Surveys in Differential Geometry" | null | 10.4310/SDG.2015.v20.n1.a8 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we will review some facts, both classical and recent,
concerning the geometry and analysis of the Kerr and related black hole
spacetimes. This includes the analysis of test fields on these spacetimes.
Central to our analysis is the existence of a valence $(2,0)$ Killing spinor,
which we use to construct... | [
{
"created": "Wed, 8 Apr 2015 18:31:06 GMT",
"version": "v1"
}
] | 2015-11-30 | [
[
"Andersson",
"Lars",
""
],
[
"Bäckdahl",
"Thomas",
""
],
[
"Blue",
"Pieter",
""
]
] | In this paper we will review some facts, both classical and recent, concerning the geometry and analysis of the Kerr and related black hole spacetimes. This includes the analysis of test fields on these spacetimes. Central to our analysis is the existence of a valence $(2,0)$ Killing spinor, which we use to construct s... |
0910.5755 | Morgan Le Delliou | Jos\'e Pedro Mimoso (DFUL, CAAUL, CFTC), Morgan Le Delliou (CFTC,
IFT), Filipe C. Mena (CMAT) | Separating expansion from contraction in spherically symmetric models
with a perfect-fluid: Generalization of the Tolman-Oppenheimer-Volkoff
condition and application to models with a cosmological constant | 17pp, 9 figures, accepted by PRD | Phys.Rev.D81:123514,2010 | 10.1103/PhysRevD.81.123514 | IFT-UAM/CSIC-08-14 | gr-qc astro-ph.CO hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate spherically symmetric perfect-fluid spacetimes and discuss the
existence and stability of a dividing shell separating expanding and collapsing
regions. We perform a 3+1 splitting and obtain gauge invariant conditions
relating the intrinsic spatial curvature of the shells to the Misner-Sharp mass
and to... | [
{
"created": "Fri, 30 Oct 2009 15:18:08 GMT",
"version": "v1"
},
{
"created": "Fri, 30 Oct 2009 20:44:41 GMT",
"version": "v2"
},
{
"created": "Mon, 14 Jun 2010 12:40:54 GMT",
"version": "v3"
}
] | 2014-11-20 | [
[
"Mimoso",
"José Pedro",
"",
"DFUL, CAAUL, CFTC"
],
[
"Delliou",
"Morgan Le",
"",
"CFTC,\n IFT"
],
[
"Mena",
"Filipe C.",
"",
"CMAT"
]
] | We investigate spherically symmetric perfect-fluid spacetimes and discuss the existence and stability of a dividing shell separating expanding and collapsing regions. We perform a 3+1 splitting and obtain gauge invariant conditions relating the intrinsic spatial curvature of the shells to the Misner-Sharp mass and to a... |
1007.2589 | Nikolai V. Mitskievich | Nikolai V. Mitskievich | Gravitational interaction for light-like motion in classical and quantum
theory | LaTeX with babel(English and Russian), 8 pages, no figures | Published in the Works of the Institute of Physics of Estonian
Academy of Sciences, Tartu, 1989 | null | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | On the basis of an exact vacuum solution of Einstein's equations, {\it vis}.
the pencil-of-light field, we study the light-like motion of test and non-test
objects. We also consider the quantum theoretical interaction of massless
scalar particles through virtual gravitons. The dragging phenomenon is
manifested and it... | [
{
"created": "Thu, 15 Jul 2010 15:35:26 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Jul 2010 04:20:21 GMT",
"version": "v2"
}
] | 2010-07-19 | [
[
"Mitskievich",
"Nikolai V.",
""
]
] | On the basis of an exact vacuum solution of Einstein's equations, {\it vis}. the pencil-of-light field, we study the light-like motion of test and non-test objects. We also consider the quantum theoretical interaction of massless scalar particles through virtual gravitons. The dragging phenomenon is manifested and its ... |
2011.05947 | Benito A. Ju\'arez-Aubry | Benito A. Ju\'arez-Aubry | Semiclassical gravity in static spacetimes as a constrained initial
value problem | The previous version has been reorganised and expanded and minor
errors have been fixed. 25 pages | null | null | null | gr-qc hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the semiclassical Einstein field equations with a Klein-Gordon field
in ultrastatic and static spacetimes. In both cases, the equations for the
spacetime metric become constraint equations. In the ultrastatic case, the
Hadamard singular structure can be characterised explicitly, which allows one
to in princi... | [
{
"created": "Wed, 11 Nov 2020 18:05:03 GMT",
"version": "v1"
},
{
"created": "Fri, 29 Oct 2021 02:18:07 GMT",
"version": "v2"
}
] | 2021-11-01 | [
[
"Juárez-Aubry",
"Benito A.",
""
]
] | We study the semiclassical Einstein field equations with a Klein-Gordon field in ultrastatic and static spacetimes. In both cases, the equations for the spacetime metric become constraint equations. In the ultrastatic case, the Hadamard singular structure can be characterised explicitly, which allows one to in principl... |
1606.07733 | Guzel Garipova | Alexander A. Potapov, Guzel M. Garipova, Kamal K. Nandi | Revisiting perfect fluid dark matter: Observational constraints from our
galaxy | null | Phys. Lett. B 753 (2016) 140-146 | 10.1016/j.physletb.2015.11.057 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit certain features of an assumed spherically symmetric perfect fluid
dark matter halo in the light of the observed data of our galaxy
| [
{
"created": "Thu, 23 Jun 2016 05:07:31 GMT",
"version": "v1"
}
] | 2016-06-30 | [
[
"Potapov",
"Alexander A.",
""
],
[
"Garipova",
"Guzel M.",
""
],
[
"Nandi",
"Kamal K.",
""
]
] | We revisit certain features of an assumed spherically symmetric perfect fluid dark matter halo in the light of the observed data of our galaxy |
gr-qc/9701005 | Elias Kiritsis | E. Kiritsis, C. Kounnas | Dynamical Topology Change, Compactification and Waves in String
Cosmology | 29pp. LateX, no figures. | Nucl.Phys.Proc.Suppl.41:311,1995 | 10.1016/0920-5632(95)00440-K | null | gr-qc | null | Exact string solutions are presented, where moduli fields are varying with
time. They provide examples where a dynamical change of the topology of space
is occurring. Some other solutions give cosmological examples where some
dimensions are compactified dynamically or simulate pre-big bang type
scenarios. Some lesson... | [
{
"created": "Sun, 5 Jan 1997 16:04:19 GMT",
"version": "v1"
}
] | 2014-11-17 | [
[
"Kiritsis",
"E.",
""
],
[
"Kounnas",
"C.",
""
]
] | Exact string solutions are presented, where moduli fields are varying with time. They provide examples where a dynamical change of the topology of space is occurring. Some other solutions give cosmological examples where some dimensions are compactified dynamically or simulate pre-big bang type scenarios. Some lessons ... |
2405.13607 | Yurii Ignat'ev | Yu. G. Ignat'ev, I. A. Kokh | Cosmological models based on an asymmetric scalar doublet with kinetic
coupling of components. I. General properties of the cosmological model | 18 pages, 19 figures, 23 references | null | null | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A mathematical model of the Universe evolution, based on asymmetric doublet
of classical and phantom dcalar Higgs fields with a kinetic connection between
the components, has been constructed and studied. A detailed qualitative
analysis was carried out, the properties of the model's symmetry and invarience
with respe... | [
{
"created": "Wed, 22 May 2024 12:58:49 GMT",
"version": "v1"
}
] | 2024-05-24 | [
[
"Ignat'ev",
"Yu. G.",
""
],
[
"Kokh",
"I. A.",
""
]
] | A mathematical model of the Universe evolution, based on asymmetric doublet of classical and phantom dcalar Higgs fields with a kinetic connection between the components, has been constructed and studied. A detailed qualitative analysis was carried out, the properties of the model's symmetry and invarience with respect... |
1904.04842 | Charles Woodford | Charles J. Woodford, Michael Boyle, Harald P. Pfeiffer | Compact Binary Waveform Center-of-Mass Corrections | 20 pages, 15 figures | Phys. Rev. D 100, 124010 (2019) | 10.1103/PhysRevD.100.124010 | null | gr-qc astro-ph.HE | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present a detailed study of the center-of-mass (c.m.) motion seen in
simulations produced by the Simulating eXtreme Spacetimes (SXS) collaboration.
We investigate potential physical sources for the large c.m. motion in binary
black hole simulations and find that a significant fraction of the c.m. motion
cannot be ... | [
{
"created": "Tue, 9 Apr 2019 18:00:06 GMT",
"version": "v1"
},
{
"created": "Wed, 1 May 2019 16:51:27 GMT",
"version": "v2"
},
{
"created": "Tue, 10 Dec 2019 20:20:22 GMT",
"version": "v3"
}
] | 2019-12-12 | [
[
"Woodford",
"Charles J.",
""
],
[
"Boyle",
"Michael",
""
],
[
"Pfeiffer",
"Harald P.",
""
]
] | We present a detailed study of the center-of-mass (c.m.) motion seen in simulations produced by the Simulating eXtreme Spacetimes (SXS) collaboration. We investigate potential physical sources for the large c.m. motion in binary black hole simulations and find that a significant fraction of the c.m. motion cannot be ex... |
1706.00895 | Svetlana Jorstad | Dmitrij Nagirner and Svetlana Jorstad | Basic geometric and kinematic features of the Standard Cosmological
Model | Submitted to Journal of Cosmology and Astrophysical Particles | null | null | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper we calculate quantitative characteristics of basic geometric
and kinematic properties of the Standard Cosmological Model ($\Lambda$CDM).
Using equations of Friedman uniform cosmological models we derive equations
characterizing a $\Lambda$CDM, which describes the most appropriate real
universe. The equa... | [
{
"created": "Sat, 3 Jun 2017 03:48:22 GMT",
"version": "v1"
}
] | 2017-06-06 | [
[
"Nagirner",
"Dmitrij",
""
],
[
"Jorstad",
"Svetlana",
""
]
] | In this paper we calculate quantitative characteristics of basic geometric and kinematic properties of the Standard Cosmological Model ($\Lambda$CDM). Using equations of Friedman uniform cosmological models we derive equations characterizing a $\Lambda$CDM, which describes the most appropriate real universe. The equati... |
2009.01484 | Guglielmo M. Tino | Guglielmo M. Tino | Testing gravity with cold atom interferometry: Results and prospects | null | 2021 Quantum Science and Technology - Focus Issue on "Quantum
sensors for new-physics discoveries", Special Issue Guest Editors: Marianna
Safronova and Dmitry Budker | 10.1088/2058-9565/abd83e | null | gr-qc physics.atom-ph quant-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Atom interferometers have been developed in the last three decades as new
powerful tools to investigate gravity. They were used for measuring the gravity
acceleration, the gravity gradient, and the gravity-field curvature, for the
determination of the gravitational constant, for the investigation of gravity
at micros... | [
{
"created": "Thu, 3 Sep 2020 06:51:26 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Sep 2020 21:00:44 GMT",
"version": "v2"
},
{
"created": "Tue, 5 Jan 2021 11:06:44 GMT",
"version": "v3"
}
] | 2021-01-06 | [
[
"Tino",
"Guglielmo M.",
""
]
] | Atom interferometers have been developed in the last three decades as new powerful tools to investigate gravity. They were used for measuring the gravity acceleration, the gravity gradient, and the gravity-field curvature, for the determination of the gravitational constant, for the investigation of gravity at microsco... |
2405.02455 | Dhruba Jyoti Gogoi Dr. | Dhruba Jyoti Gogoi | Violation of Hod's Conjecture and Probing it with Optical properties of
a 5-D black hole in Einstein Gauss-Bonnet Bumblebee theory of gravity | 16 pages, 8 figures (published version). arXiv admin note: text
overlap with arXiv:2102.13335, arXiv:2302.01580, arXiv:2005.09761 by other
authors | Phys.Dark Univ. 45 (2024) 101535 | 10.1016/j.dark.2024.101535 | null | gr-qc hep-th | http://creativecommons.org/licenses/by/4.0/ | In this work, the quasinormal modes of a $5$-D black hole in Einstein
Gauss-Bonnet Bumblebee theory of gravity have been investigated with the help
of the Pad\'e averaged higher order WKB approximation method and the validity
of Hod's conjecture has been studied. It is found that the presence of Lorentz
symmetry brea... | [
{
"created": "Fri, 3 May 2024 19:42:46 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Jul 2024 17:52:05 GMT",
"version": "v2"
}
] | 2024-07-16 | [
[
"Gogoi",
"Dhruba Jyoti",
""
]
] | In this work, the quasinormal modes of a $5$-D black hole in Einstein Gauss-Bonnet Bumblebee theory of gravity have been investigated with the help of the Pad\'e averaged higher order WKB approximation method and the validity of Hod's conjecture has been studied. It is found that the presence of Lorentz symmetry breaki... |
2011.09923 | Zhi-Wei Wang | Zhi-Wei Wang and Samuel L. Braunstein | Could dark matter be a natural consequence of a dynamical universe? | 8 pages, 1 figure | null | null | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We construct the gravitating mass of an isolated composite system on
asymptotically-flat spacetimes within conventional general relativity and
investigate when this quantity is well defined. For stationary spacetimes, this
quantity is known to exactly equal the physical (ADM) mass. However, it remains
an open questio... | [
{
"created": "Thu, 19 Nov 2020 16:06:47 GMT",
"version": "v1"
}
] | 2020-11-20 | [
[
"Wang",
"Zhi-Wei",
""
],
[
"Braunstein",
"Samuel L.",
""
]
] | We construct the gravitating mass of an isolated composite system on asymptotically-flat spacetimes within conventional general relativity and investigate when this quantity is well defined. For stationary spacetimes, this quantity is known to exactly equal the physical (ADM) mass. However, it remains an open question ... |
2308.10419 | Ryo Kato | Ryo Kato, Keitaro Takahashi | Precision of localization of single gravitational-wave source with
pulsar timing array | 13 pages, 7 figures | Phys. Rev. D 108, 123535, 2023 | 10.1103/PhysRevD.108.123535 | null | gr-qc astro-ph.HE | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Pulsar Timing Arrays (PTAs) are expected to be able to detect gravitational
waves (GWs) from individual supermassive black hole binaries in the near
future. In order to identify the host galaxy of a gravitational wave source,
the angular resolution of PTAs should be much better than that expected from
the conventiona... | [
{
"created": "Mon, 21 Aug 2023 02:07:53 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Dec 2023 11:38:35 GMT",
"version": "v2"
}
] | 2023-12-20 | [
[
"Kato",
"Ryo",
""
],
[
"Takahashi",
"Keitaro",
""
]
] | Pulsar Timing Arrays (PTAs) are expected to be able to detect gravitational waves (GWs) from individual supermassive black hole binaries in the near future. In order to identify the host galaxy of a gravitational wave source, the angular resolution of PTAs should be much better than that expected from the conventional ... |
gr-qc/0005093 | Takashi Tamaki | Takashi Tamaki, Kei-ichi Maeda | Estimating Hawking radiation for exotic black holes | 4 pages, 7 figures | Phys.Rev. D62 (2000) 107503 | 10.1103/PhysRevD.62.107503 | null | gr-qc | null | We study about an approximation method of the Hawking radiation. We analyze
an massless scalar field in exotic black hole backgrounds models which have
peculiar properties in black hole thermodynamics (monopole black hole in SO(3)
Einstein-Yang-Mills-Higgs system and dilatoic black hole in
Einstein-Maxwell-dilaton sy... | [
{
"created": "Mon, 22 May 2000 06:48:29 GMT",
"version": "v1"
},
{
"created": "Mon, 26 Jun 2000 07:11:35 GMT",
"version": "v2"
}
] | 2009-10-31 | [
[
"Tamaki",
"Takashi",
""
],
[
"Maeda",
"Kei-ichi",
""
]
] | We study about an approximation method of the Hawking radiation. We analyze an massless scalar field in exotic black hole backgrounds models which have peculiar properties in black hole thermodynamics (monopole black hole in SO(3) Einstein-Yang-Mills-Higgs system and dilatoic black hole in Einstein-Maxwell-dilaton syst... |
1903.03835 | Leandros Perivolaropoulos | I. Antoniou, D. Papadopoulos and L. Perivolaropoulos | Spinning particle orbits around a black hole in an expanding background | 12 pages, 4 figures. Accepted in 'Classical and Quantum Gravity'. To
appear | null | 10.1088/1361-6382/ab0fc1 | null | gr-qc astro-ph.CO hep-ph hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate analytically and numerically the orbits of spinning particles
around black holes in the post Newtonian limit and in the presence of cosmic
expansion. We show that orbits that are circular in the absence of spin, get
deformed when the orbiting particle has spin. We show that the origin of this
deformati... | [
{
"created": "Sat, 9 Mar 2019 17:45:24 GMT",
"version": "v1"
}
] | 2019-05-22 | [
[
"Antoniou",
"I.",
""
],
[
"Papadopoulos",
"D.",
""
],
[
"Perivolaropoulos",
"L.",
""
]
] | We investigate analytically and numerically the orbits of spinning particles around black holes in the post Newtonian limit and in the presence of cosmic expansion. We show that orbits that are circular in the absence of spin, get deformed when the orbiting particle has spin. We show that the origin of this deformation... |
2109.12938 | Meng-He Wu | Yi Ling, Meng-He Wu | Modified regular black holes with time delay and 1-loop quantum
correction | 11 pages, 12 figures | Chin.Phys.C 46 (2022) 2, 025102 | 10.1088/1674-1137/ac3643 | null | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We develop the regular black hole solutions recently proposed in
arXiv:2109.05974 by incorporating the 1-loop quantum correction to the Newton
potential as well as a time delay between an observer at the regular center and
that at infinity. We define the maximal time delay between the center and the
infinity by scann... | [
{
"created": "Mon, 27 Sep 2021 10:45:51 GMT",
"version": "v1"
},
{
"created": "Thu, 24 Mar 2022 11:58:26 GMT",
"version": "v2"
}
] | 2022-05-03 | [
[
"Ling",
"Yi",
""
],
[
"Wu",
"Meng-He",
""
]
] | We develop the regular black hole solutions recently proposed in arXiv:2109.05974 by incorporating the 1-loop quantum correction to the Newton potential as well as a time delay between an observer at the regular center and that at infinity. We define the maximal time delay between the center and the infinity by scannin... |
2010.05183 | Masato Nozawa | Cristian Martinez and Masato Nozawa | Static spacetimes haunted by a phantom scalar field: classification and
global structure in the massless case | 46 pages, 2 figures, 4 tables; v2 minor modifications, accepted
version in PRD | Phys. Rev. D 103, 024003 (2021) | 10.1103/PhysRevD.103.024003 | YITP-20-127 | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We discuss various novel features of $n(\ge 4)$-dimensional spacetimes
sourced by a massless (non-)phantom scalar field in general relativity.
Assuming that the metric is a warped product of static two-dimensional
Lorentzian spacetime and an $(n-2)$-dimensional Einstein space $K^{n-2}$ with
curvature $k=0, \pm 1$, an... | [
{
"created": "Sun, 11 Oct 2020 07:27:14 GMT",
"version": "v1"
},
{
"created": "Sun, 17 Jan 2021 14:46:25 GMT",
"version": "v2"
}
] | 2021-01-19 | [
[
"Martinez",
"Cristian",
""
],
[
"Nozawa",
"Masato",
""
]
] | We discuss various novel features of $n(\ge 4)$-dimensional spacetimes sourced by a massless (non-)phantom scalar field in general relativity. Assuming that the metric is a warped product of static two-dimensional Lorentzian spacetime and an $(n-2)$-dimensional Einstein space $K^{n-2}$ with curvature $k=0, \pm 1$, and ... |
1203.2140 | Ovidiu Cristinel Stoica | Ovidiu-Cristinel Stoica | Einstein equation at singularities | 12 pages. Ovidiu-Cristinel Stoica, Cent. Eur. J. Phys., 2014,
10.2478/s11534-014-0427-1 | Central European Journal of Physics, 12 (2014), 123-131 | 10.2478/s11534-014-0427-1 | null | gr-qc astro-ph.CO math-ph math.DG math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Einstein's equation is rewritten in an equivalent form, which remains valid
at the singularities in some major cases. These cases include the Schwarzschild
singularity, the Friedmann-Lema\^itre-Robertson-Walker Big Bang singularity,
isotropic singularities, and a class of warped product singularities. This
equation i... | [
{
"created": "Fri, 9 Mar 2012 17:11:17 GMT",
"version": "v1"
},
{
"created": "Wed, 14 Mar 2012 14:29:55 GMT",
"version": "v2"
},
{
"created": "Fri, 24 Jan 2014 10:31:32 GMT",
"version": "v3"
}
] | 2014-05-05 | [
[
"Stoica",
"Ovidiu-Cristinel",
""
]
] | Einstein's equation is rewritten in an equivalent form, which remains valid at the singularities in some major cases. These cases include the Schwarzschild singularity, the Friedmann-Lema\^itre-Robertson-Walker Big Bang singularity, isotropic singularities, and a class of warped product singularities. This equation is ... |
2205.11471 | Amare Abebe PhD | Amare Abebe | Dark-fluid constraints of shear-free universes | 4+2 pages, no figures. Accepted for publication in Proceedings of the
African Conference on Fundamental and Applied Physics (ACP2021) | null | null | null | gr-qc | http://creativecommons.org/licenses/by/4.0/ | Integrability conditions arising from general irrotational fluid-flow
considerations of a universe dominated by cosmic dark fluids will be
investigated under special assumptions on the nature of the spacetime shear.
Special emphasis will be placed on linearized perturbations of quasi-Newtonian
and anti-Newtonian spac... | [
{
"created": "Mon, 23 May 2022 17:14:13 GMT",
"version": "v1"
}
] | 2022-05-24 | [
[
"Abebe",
"Amare",
""
]
] | Integrability conditions arising from general irrotational fluid-flow considerations of a universe dominated by cosmic dark fluids will be investigated under special assumptions on the nature of the spacetime shear. Special emphasis will be placed on linearized perturbations of quasi-Newtonian and anti-Newtonian spacet... |
2212.13546 | Lau Loi So | Lau Loi So | The Bel-Robinson tensor and the classical pseudotensors | 7 pages | null | null | null | gr-qc | http://creativecommons.org/licenses/by/4.0/ | Describing the gravitational energy and momentum, the Bel-Robinson tensor is
the best tensor. However, the classical pseudotensors can also manage the the
same job. As Deser mentioned in 1999, a certain linear combination between
Einstein pseudotensor and Landau-Lifshitz pseudoetnsor give a pure Bel-Robinson
tensor. ... | [
{
"created": "Tue, 27 Dec 2022 16:39:15 GMT",
"version": "v1"
}
] | 2022-12-29 | [
[
"So",
"Lau Loi",
""
]
] | Describing the gravitational energy and momentum, the Bel-Robinson tensor is the best tensor. However, the classical pseudotensors can also manage the the same job. As Deser mentioned in 1999, a certain linear combination between Einstein pseudotensor and Landau-Lifshitz pseudoetnsor give a pure Bel-Robinson tensor. He... |
2406.07722 | Anish Agashe | Anish Agashe and Sai Madhav Modumudi | On the Effects of Non-metricity in an Averaged Universe | Accepted for publication in Universe. Invited article for the topical
collection, 'Modified Theories of Gravity and Cosmological Applications' | Universe 2024, 10(6), 261 | 10.3390/universe10060261 | null | gr-qc astro-ph.CO | http://creativecommons.org/licenses/by/4.0/ | In the covariant averaging scheme of macroscopic gravity, the process of
averaging breaks the metricity of geometry. We reinterpret the back-reaction
within macroscopic gravity in terms of the non-metricity of averaged geometry.
This interpretation extends the effect of back-reaction beyond mere dynamics to
kinematic... | [
{
"created": "Tue, 11 Jun 2024 21:03:09 GMT",
"version": "v1"
}
] | 2024-06-18 | [
[
"Agashe",
"Anish",
""
],
[
"Modumudi",
"Sai Madhav",
""
]
] | In the covariant averaging scheme of macroscopic gravity, the process of averaging breaks the metricity of geometry. We reinterpret the back-reaction within macroscopic gravity in terms of the non-metricity of averaged geometry. This interpretation extends the effect of back-reaction beyond mere dynamics to kinematics ... |
1901.00231 | Ernesto Contreras | Ernesto Contreras | Gravitational decoupling in $2+1$ dimensional space--times with
cosmological term | null | Class. Quantum. Grav 36, 095004, 2019 | 10.1088/1361-6382/ab11e6 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work we implement the Minimal Geometric Deformation method to obtain
the isotropic sector and the decoupler matter content of any anisotropic
solution of the Einstein field equations with cosmological constant in $2+1$
dimensional space--times. We obtain that the solutions of both sectors can be
expressed ana... | [
{
"created": "Wed, 2 Jan 2019 01:37:01 GMT",
"version": "v1"
}
] | 2019-06-28 | [
[
"Contreras",
"Ernesto",
""
]
] | In this work we implement the Minimal Geometric Deformation method to obtain the isotropic sector and the decoupler matter content of any anisotropic solution of the Einstein field equations with cosmological constant in $2+1$ dimensional space--times. We obtain that the solutions of both sectors can be expressed analy... |
gr-qc/0201022 | Yee J. Ng | Y. Jack Ng (University of North Carolina) | Spacetime foam | 7 pages, LaTeX; will appear in the Dec. 2002 special issue of Int. J.
Mod. Phys. D (this essay received an honorable mention in the GRF essay
contest) | Int.J.Mod.Phys.D11:1585-1590,2002 | 10.1142/S0218271802002931 | null | gr-qc astro-ph hep-th quant-ph | null | Spacetime is composed of a fluctuating arrangement of bubbles or loops called
spacetime foam, or quantum foam. We use the holographic principle to deduce its
structure, and show that the result is consistent with gedanken experiments
involving spacetime measurements. We propose to use laser-based atom
interferometry ... | [
{
"created": "Mon, 7 Jan 2002 17:45:40 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Oct 2002 22:54:00 GMT",
"version": "v2"
}
] | 2011-09-01 | [
[
"Ng",
"Y. Jack",
"",
"University of North Carolina"
]
] | Spacetime is composed of a fluctuating arrangement of bubbles or loops called spacetime foam, or quantum foam. We use the holographic principle to deduce its structure, and show that the result is consistent with gedanken experiments involving spacetime measurements. We propose to use laser-based atom interferometry te... |
gr-qc/0101083 | Takashi Tamaki | Takashi Tamaki (Waseda University), Takashi Torii (University of
Tokyo) | Dyonic BIon black hole in string inspired model | 13 pages, 15 figures, Final version in PRD | Phys.Rev.D64:024027,2001 | 10.1103/PhysRevD.64.024027 | null | gr-qc hep-th | null | We construct static and spherically symmetric particle-like and black hole
solutions with magnetic and/or electric charge in the
Einstein-Born-Infeld-dilaton-axion system, which is a generalization of the
Einstein-Maxwell-dilaton-axion (EMDA) system and of the Einstein-Born-Infeld
(EBI) system. They have remarkable p... | [
{
"created": "Mon, 22 Jan 2001 05:14:27 GMT",
"version": "v1"
},
{
"created": "Sat, 7 Jul 2001 02:43:57 GMT",
"version": "v2"
}
] | 2010-11-19 | [
[
"Tamaki",
"Takashi",
"",
"Waseda University"
],
[
"Torii",
"Takashi",
"",
"University of\n Tokyo"
]
] | We construct static and spherically symmetric particle-like and black hole solutions with magnetic and/or electric charge in the Einstein-Born-Infeld-dilaton-axion system, which is a generalization of the Einstein-Maxwell-dilaton-axion (EMDA) system and of the Einstein-Born-Infeld (EBI) system. They have remarkable pro... |
1804.02560 | Marko Vojinovic | Aleksandar Mikovic, Marko Vojinovic | Quantum gravity for piecewise flat spacetimes | 14 pages. To appear as a contribution to the MPHYS9 2017 conference
proceedings | SFIN XXXI, 267 (2018) | null | null | gr-qc hep-th math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We describe a theory of quantum gravity which is based on the assumption that
the spacetime structure at small distances is given by a piecewise linear (PL)
4-manifold corresponding to a triangulation of a smooth 4-manifold. The
fundamental degrees of freedom are the edge lengths of the triangulation. One
can work wi... | [
{
"created": "Sat, 7 Apr 2018 13:40:23 GMT",
"version": "v1"
}
] | 2018-07-18 | [
[
"Mikovic",
"Aleksandar",
""
],
[
"Vojinovic",
"Marko",
""
]
] | We describe a theory of quantum gravity which is based on the assumption that the spacetime structure at small distances is given by a piecewise linear (PL) 4-manifold corresponding to a triangulation of a smooth 4-manifold. The fundamental degrees of freedom are the edge lengths of the triangulation. One can work with... |
1309.3977 | Eoin Condron Mr. | Eoin Condron and Brien C. Nolan | Collapse of a self-similar cylindrical scalar field with non-minimal
coupling II: strong cosmic censorship | 27 pages, 3 figures. To appear in CQG. Proofs in Section 5 corrected | null | 10.1088/0264-9381/31/16/165018 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate self-similar scalar field solutions to the Einstein equations
in whole cylinder symmetry. Imposing self-similarity on the spacetime gives
rise to a set of single variable functions describing the metric. Furthermore,
it is shown that the scalar field is dependent on a single unknown function of
the sam... | [
{
"created": "Mon, 16 Sep 2013 14:30:55 GMT",
"version": "v1"
},
{
"created": "Fri, 4 Oct 2013 19:14:42 GMT",
"version": "v2"
},
{
"created": "Thu, 3 Jul 2014 16:09:30 GMT",
"version": "v3"
}
] | 2015-06-30 | [
[
"Condron",
"Eoin",
""
],
[
"Nolan",
"Brien C.",
""
]
] | We investigate self-similar scalar field solutions to the Einstein equations in whole cylinder symmetry. Imposing self-similarity on the spacetime gives rise to a set of single variable functions describing the metric. Furthermore, it is shown that the scalar field is dependent on a single unknown function of the same ... |
0901.2931 | Mark Hannam | Mark Hannam | Status of black-hole-binary simulations for gravitational-wave detection | 22 pages, 6 figures, Version to be published in CQG, NRDA 2008
Special Issue | Class.Quant.Grav.26:114001,2009 | 10.1088/0264-9381/26/11/114001 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | It is now possible to theoretically calculate the gravitational-wave signal
from the inspiral, merger and ringdown of a black-hole-binary system. The late
inspiral, merger and ringdown can be calculated in full general relativity
using numerical methods. The numerical waveforms can then be either stitched to
inspiral... | [
{
"created": "Mon, 19 Jan 2009 21:02:09 GMT",
"version": "v1"
},
{
"created": "Fri, 27 Mar 2009 15:07:43 GMT",
"version": "v2"
}
] | 2009-06-10 | [
[
"Hannam",
"Mark",
""
]
] | It is now possible to theoretically calculate the gravitational-wave signal from the inspiral, merger and ringdown of a black-hole-binary system. The late inspiral, merger and ringdown can be calculated in full general relativity using numerical methods. The numerical waveforms can then be either stitched to inspiral w... |
1907.11083 | Andrea Geralico | Donato Bini, Andrea Geralico | Analytical determination of the periastron advance in spinning binaries
from self-force computations | 6 pages, 1 figure, revtex macros | Phys. Rev. D 100, 121502 (2019) | 10.1103/PhysRevD.100.121502 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present the first analytical computation of the (conservative)
gravitational self-force correction to the periastron advance around a spinning
black hole. Our result is accurate to the second order in the rotational
parameter and through the 9.5 post-Newtonian level. It has been obtained as the
circular limit of t... | [
{
"created": "Tue, 23 Jul 2019 20:35:37 GMT",
"version": "v1"
}
] | 2019-12-25 | [
[
"Bini",
"Donato",
""
],
[
"Geralico",
"Andrea",
""
]
] | We present the first analytical computation of the (conservative) gravitational self-force correction to the periastron advance around a spinning black hole. Our result is accurate to the second order in the rotational parameter and through the 9.5 post-Newtonian level. It has been obtained as the circular limit of the... |
2304.10245 | Pardyumn Kumar Sahoo | Gaurav N. Gadbail, Ameya Kolhatkar, Sanjay Mandal, and P.K. Sahoo | Correction to Lagrangian for Bouncing Cosmologies in $f(Q)$ Gravity | EPJ C revised version | Eur. Phys. J. C 83, 595 (2023) | 10.1140/epjc/s10052-023-11798-z | null | gr-qc | http://creativecommons.org/licenses/by/4.0/ | Symmetric teleparallel gravity offers to reformulate the gravitational
formalism without the presence of curvature and torsion with the help of
non-metricity tensors. Interestingly, Symmetric teleparallel gravity can be
formulated equivalently to teleparallel gravity or general relativity for an
appropriate setup. In... | [
{
"created": "Thu, 20 Apr 2023 12:05:30 GMT",
"version": "v1"
},
{
"created": "Tue, 13 Jun 2023 16:08:32 GMT",
"version": "v2"
},
{
"created": "Wed, 28 Jun 2023 11:44:27 GMT",
"version": "v3"
}
] | 2023-07-12 | [
[
"Gadbail",
"Gaurav N.",
""
],
[
"Kolhatkar",
"Ameya",
""
],
[
"Mandal",
"Sanjay",
""
],
[
"Sahoo",
"P. K.",
""
]
] | Symmetric teleparallel gravity offers to reformulate the gravitational formalism without the presence of curvature and torsion with the help of non-metricity tensors. Interestingly, Symmetric teleparallel gravity can be formulated equivalently to teleparallel gravity or general relativity for an appropriate setup. In t... |
1808.01532 | Simone Mastrogiovanni | S. Mastrogiovanni, P. Astone, S. D Antonio, S. Frasca, G. Intini, I.
La Rosa, P. Leaci, A. Miller, F. Muciaccia, C. Palomba, O.J. Piccinni, A.
Singhal | Phase decomposition of the template metric for continuous
gravitational-wave searches | 17 pages, 16 figures | Phys. Rev. D 98, 102003 (2018) | 10.1103/PhysRevD.98.102003 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A type of gravitational-wave signals in the LIGO-Virgo sensitivity band are
expected to be emitted by spinning asymmetric neutron stars, with rotational
frequencies that could plausibly emit continuous gravitational radiation in the
most sensitive band of the LIGO-Virgo detectors. The most important feature of
such k... | [
{
"created": "Sat, 4 Aug 2018 20:52:31 GMT",
"version": "v1"
}
] | 2018-11-14 | [
[
"Mastrogiovanni",
"S.",
""
],
[
"Astone",
"P.",
""
],
[
"Antonio",
"S. D",
""
],
[
"Frasca",
"S.",
""
],
[
"Intini",
"G.",
""
],
[
"La Rosa",
"I.",
""
],
[
"Leaci",
"P.",
""
],
[
"Miller",
"A.",... | A type of gravitational-wave signals in the LIGO-Virgo sensitivity band are expected to be emitted by spinning asymmetric neutron stars, with rotational frequencies that could plausibly emit continuous gravitational radiation in the most sensitive band of the LIGO-Virgo detectors. The most important feature of such kin... |
2111.00492 | Yurii Ignat'ev | Yu. G. Ignat'ev, D. Yu. Ignatyev | Cosmological Models Based on a Statistical System of Scalar Charged
Degenerate Fermions and an Asymmetric Higgs Scalar Doublet | 31 pages, 70 references | Theoret. and Math. Phys., 209:1 (2021), 1437 | 10.1134/S0040577921100081 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | On the basis of the general relativistic statistical and kinetic theory, a
consistent closed cosmological model is formulated. It is based on a
statistical system of scalar charged fermions interacting by means of classical
and phantom scalar fields. Based on the study of the microscopic dynamics of
scalar charged pa... | [
{
"created": "Sun, 31 Oct 2021 13:20:25 GMT",
"version": "v1"
}
] | 2021-11-02 | [
[
"Ignat'ev",
"Yu. G.",
""
],
[
"Ignatyev",
"D. Yu.",
""
]
] | On the basis of the general relativistic statistical and kinetic theory, a consistent closed cosmological model is formulated. It is based on a statistical system of scalar charged fermions interacting by means of classical and phantom scalar fields. Based on the study of the microscopic dynamics of scalar charged part... |
1312.7721 | Kirill Bronnikov | K.A. Bronnikov, M.V. Skvortsova | Variations of $\alpha$ and $G$ from nonlinear multidimensional gravity | 11 pages, 2 figures. arXiv admin note: substantial text overlap with
arXiv:1301.3098 | Grav. Cosmol. 19 (2), 114-123 (2013) | 10.1134/S0202289313020035 | null | gr-qc astro-ph.CO hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | To explain the recently reported large-scale spatial variations of the fine
structure constant $\alpha$, we apply some models of curvature-nonlinear
multidimensional gravity. Under the reasonable assumption of slow changes of
all quantities as compared with the Planck scale, the original theory reduces
to a multi-sca... | [
{
"created": "Mon, 30 Dec 2013 14:10:34 GMT",
"version": "v1"
}
] | 2013-12-31 | [
[
"Bronnikov",
"K. A.",
""
],
[
"Skvortsova",
"M. V.",
""
]
] | To explain the recently reported large-scale spatial variations of the fine structure constant $\alpha$, we apply some models of curvature-nonlinear multidimensional gravity. Under the reasonable assumption of slow changes of all quantities as compared with the Planck scale, the original theory reduces to a multi-scala... |
2210.04063 | Konstantin Osetrin | Konstantin Osetrin and Evgeny Osetrin and Elena Osetrina | Gravitational Waves of Type III Shapovalov Spacetimes: Particle
Trajectories, Geodesic Deviation and Tidal Accelerations | 27 pages | Symmetry, 2023, 15(7), 1455 | 10.3390/sym15071455 | null | gr-qc math-ph math.MP | http://creativecommons.org/licenses/by-nc-nd/4.0/ | For gravitational-wave spacetimes of Shapovalov type III, exact general
solutions of geodesic deviation equations and equations of motion of test
particles are obtained. Solutions are found in a privileged coordinate system,
where the metric of the considered spacetime models depends on the wave
variable. The exact f... | [
{
"created": "Sat, 8 Oct 2022 17:15:58 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Oct 2022 07:37:49 GMT",
"version": "v2"
}
] | 2023-08-02 | [
[
"Osetrin",
"Konstantin",
""
],
[
"Osetrin",
"Evgeny",
""
],
[
"Osetrina",
"Elena",
""
]
] | For gravitational-wave spacetimes of Shapovalov type III, exact general solutions of geodesic deviation equations and equations of motion of test particles are obtained. Solutions are found in a privileged coordinate system, where the metric of the considered spacetime models depends on the wave variable. The exact for... |
1704.04971 | Ezra Newman | Ezra T. Newman | Light-Cones, Almost Light-Cones and Almost-Complex Light-Cones | null | null | 10.1007/s10714-017-2264-1 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We point out an unusual relationship among a variety of null geodesic
congruences; (a) the generators of ordinary light-cones and (b) certain
(related) shear-free but twisting congruences in Minkowski Space-time as well
as (c) asymptotically shear-free null geodesic congruences that exist in the
neighborhood of Penro... | [
{
"created": "Mon, 17 Apr 2017 14:16:52 GMT",
"version": "v1"
}
] | 2017-07-26 | [
[
"Newman",
"Ezra T.",
""
]
] | We point out an unusual relationship among a variety of null geodesic congruences; (a) the generators of ordinary light-cones and (b) certain (related) shear-free but twisting congruences in Minkowski Space-time as well as (c) asymptotically shear-free null geodesic congruences that exist in the neighborhood of Penrose... |
1412.8117 | Sunil Maharaj | G. Z. Abebe, S. D. Maharaj, K. S. Govinder | Generalized Euclidean stars with equation of state | 15 pages, Submitted for publication | Gen. Relativ. Gravit. 46, 1733 (2014) | 10.1007/s10714-014-1733-z | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider the general case of an accelerating, expanding and shearing model
of a radiating relativistic star using Lie symmetries. We obtain the Lie
symmetry generators that leave the equation for the junction condition
invariant, and find the Lie algebra corresponding to the optimal system of the
symmetries. The s... | [
{
"created": "Sun, 28 Dec 2014 06:04:34 GMT",
"version": "v1"
}
] | 2015-06-23 | [
[
"Abebe",
"G. Z.",
""
],
[
"Maharaj",
"S. D.",
""
],
[
"Govinder",
"K. S.",
""
]
] | We consider the general case of an accelerating, expanding and shearing model of a radiating relativistic star using Lie symmetries. We obtain the Lie symmetry generators that leave the equation for the junction condition invariant, and find the Lie algebra corresponding to the optimal system of the symmetries. The sym... |
1102.0241 | H.-J. Schmidt | H.-J. Schmidt | Gauss-Bonnet lagrangian G ln G and cosmological exact solutions | 18 pages, amended version, accepted by Phys. Rev. D | Phys.Rev.D83:083513,2011 | 10.1103/PhysRevD.83.083513 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For the lagrangian L = G ln G where G is the Gauss-Bonnet curvature scalar we
deduce the field equation and solve it in closed form for 3-flat Friedman
models using a statefinder parametrization. Further we show, that among all
lagrangians F(G) this L is the only one not having the form G^r with a real
constant r but... | [
{
"created": "Tue, 1 Feb 2011 18:22:06 GMT",
"version": "v1"
},
{
"created": "Fri, 18 Mar 2011 16:54:46 GMT",
"version": "v2"
}
] | 2011-05-05 | [
[
"Schmidt",
"H. -J.",
""
]
] | For the lagrangian L = G ln G where G is the Gauss-Bonnet curvature scalar we deduce the field equation and solve it in closed form for 3-flat Friedman models using a statefinder parametrization. Further we show, that among all lagrangians F(G) this L is the only one not having the form G^r with a real constant r but p... |
1508.01416 | Jeff Hnybida | Jeff Hnybida | Spin Foams Without Spins | 21 pages, 2 figures | null | 10.1088/0264-9381/33/20/205003 | null | gr-qc hep-lat math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We formulate the spin foam representation of discrete SU(2) gauge theory as a
product of vertex amplitudes each of which is the spin network generating
function of the boundary graph dual to the vertex. In doing so the sums over
spins have been carried out. The boundary data of each n-valent node is
explicitly reduce... | [
{
"created": "Thu, 6 Aug 2015 14:22:58 GMT",
"version": "v1"
},
{
"created": "Tue, 30 Aug 2016 12:27:25 GMT",
"version": "v2"
}
] | 2016-10-05 | [
[
"Hnybida",
"Jeff",
""
]
] | We formulate the spin foam representation of discrete SU(2) gauge theory as a product of vertex amplitudes each of which is the spin network generating function of the boundary graph dual to the vertex. In doing so the sums over spins have been carried out. The boundary data of each n-valent node is explicitly reduced ... |
1809.06753 | Alfonso Garc\'ia-Parrado G\'omez-Lobo Dr. | Alfonso Garc\'ia-Parrado | Type D conformal initial data | 22 pages, 2 figures. New section added and reference list enlarged.
To appear in General Relativity and Gravitation | null | null | null | gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For a vacuum initial data set of the Einstein field equations it is possible
to carry out a conformal rescaling or conformal compactification of the data
giving rise to an initial data set for the Friedrich vacuum conformal
equations. When will the data development with respect to the conformal
equations of this set ... | [
{
"created": "Tue, 18 Sep 2018 14:08:05 GMT",
"version": "v1"
},
{
"created": "Tue, 21 Apr 2020 15:51:14 GMT",
"version": "v2"
}
] | 2020-04-22 | [
[
"García-Parrado",
"Alfonso",
""
]
] | For a vacuum initial data set of the Einstein field equations it is possible to carry out a conformal rescaling or conformal compactification of the data giving rise to an initial data set for the Friedrich vacuum conformal equations. When will the data development with respect to the conformal equations of this set be... |
2405.10354 | Bivudutta Mishra Dr. | S.A. Kadam, Ananya Sahu, S.K. Tripathy, B.Mishra | Dynamical System Analysis for Scalar Field Potential in Teleparallel
Gravity | 17 pages, 8 figures, constructive comments appreciated | null | null | null | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper, we have presented a power law cosmological model and its
dynamical system analysis in $f(T,\phi)$ gravity, where $T$ is the torsion
scalar and $\phi$ is the canonical scalar field. The two well-motivated forms
of the non-minimal coupling function $F(\phi)$, the exponential form and the
power law form, ... | [
{
"created": "Thu, 16 May 2024 16:03:11 GMT",
"version": "v1"
}
] | 2024-05-20 | [
[
"Kadam",
"S. A.",
""
],
[
"Sahu",
"Ananya",
""
],
[
"Tripathy",
"S. K.",
""
],
[
"Mishra",
"B.",
""
]
] | In this paper, we have presented a power law cosmological model and its dynamical system analysis in $f(T,\phi)$ gravity, where $T$ is the torsion scalar and $\phi$ is the canonical scalar field. The two well-motivated forms of the non-minimal coupling function $F(\phi)$, the exponential form and the power law form, wi... |
2108.12210 | Clifford M. Will | Alexandria Tucker and Clifford M. Will | Residual eccentricity of inspiralling orbits at the gravitational-wave
detection threshold: Accurate estimates using post-Newtonian theory | 13 pages, 9 figures, version aligned with published paper | Phys. Rev. D 104, 104023 (2021) | 10.1103/PhysRevD.104.104023 | null | gr-qc | http://creativecommons.org/licenses/by/4.0/ | We use equations of motion containing gravitational radiation-reaction terms
through 4.5 post-Newtonian order to calculate the late-time eccentricities of
inspiraling binary systems of non-spinning compact bodies as they cross the
detection threshold of ground-based gravitational-wave interferometers. The
initial ecc... | [
{
"created": "Fri, 27 Aug 2021 10:15:50 GMT",
"version": "v1"
},
{
"created": "Mon, 15 Nov 2021 03:06:45 GMT",
"version": "v2"
}
] | 2021-11-16 | [
[
"Tucker",
"Alexandria",
""
],
[
"Will",
"Clifford M.",
""
]
] | We use equations of motion containing gravitational radiation-reaction terms through 4.5 post-Newtonian order to calculate the late-time eccentricities of inspiraling binary systems of non-spinning compact bodies as they cross the detection threshold of ground-based gravitational-wave interferometers. The initial eccen... |
gr-qc/9803074 | Kirill Krasnov | Kirill Krasnov | The Area Spectrum in Quantum Gravity | 8 pages, Revtex, no figures | Class.Quant.Grav.15:L47-L53,1998 | 10.1088/0264-9381/15/6/001 | CGPG-98/3-2 | gr-qc | null | We show that, apart from the usual area operator of non-perturbative quantum
gravity, there exists another, closely related, operator that measures areas of
surfaces. Both corresponding classical expressions yield the area. Quantum
mechanically, however, the spectra of the two operators are different,
coinciding only... | [
{
"created": "Sun, 22 Mar 1998 17:40:07 GMT",
"version": "v1"
},
{
"created": "Mon, 4 May 1998 01:58:28 GMT",
"version": "v2"
}
] | 2010-04-06 | [
[
"Krasnov",
"Kirill",
""
]
] | We show that, apart from the usual area operator of non-perturbative quantum gravity, there exists another, closely related, operator that measures areas of surfaces. Both corresponding classical expressions yield the area. Quantum mechanically, however, the spectra of the two operators are different, coinciding only i... |
1406.2307 | Davood Momeni Dr | Surajit Chattopadhyay, Abdul Jawad, Davood Momeni, Ratbay Myrzakulov | Pilgrim Dark Energy in $f(T, T_G)$ cosmology | Revised version accepted for publication in "Astrophysics and Space
Science", 23 pages, 20 figures | Astrophys.Space Sci. 353 (2014) no.1, 279-292 | 10.1007/s10509-014-2029-1 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We work on the reconstruction scenario of pilgrim dark energy" (PDE) in $f(T,
T_G)$. In PDE model it is assumed that a repulsive force that is accelerating
the Universe is phantom type with $(w_{DE}<-1)$ and it so strong that prevents
formation of the black hole. We construct the $f(T, T_G)$ models and
correspondingl... | [
{
"created": "Sat, 7 Jun 2014 07:18:41 GMT",
"version": "v1"
},
{
"created": "Thu, 19 Jun 2014 09:32:46 GMT",
"version": "v2"
}
] | 2018-10-09 | [
[
"Chattopadhyay",
"Surajit",
""
],
[
"Jawad",
"Abdul",
""
],
[
"Momeni",
"Davood",
""
],
[
"Myrzakulov",
"Ratbay",
""
]
] | We work on the reconstruction scenario of pilgrim dark energy" (PDE) in $f(T, T_G)$. In PDE model it is assumed that a repulsive force that is accelerating the Universe is phantom type with $(w_{DE}<-1)$ and it so strong that prevents formation of the black hole. We construct the $f(T, T_G)$ models and correspondingly ... |
gr-qc/0402045 | Jose A. Gonzalez | Miguel Alcubierre, Jose A. Gonzalez, Marcelo Salgado and Daniel
Sudarsky | The cosmic censor conjecture: Is it generically violated? | 4 pages, 4 figures | null | null | null | gr-qc hep-th | null | It has been recently argued by Hertog, Horowitz and Maeda, that generic
reasonable initial data in asymptotically anti deSitter, spherically symmetric,
space-times within an Einstein-Higgs theory, will evolve toward a naked
singularity, in clear violation of the cosmic censor conjecture. We will argue
that there is a... | [
{
"created": "Tue, 10 Feb 2004 16:50:42 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Alcubierre",
"Miguel",
""
],
[
"Gonzalez",
"Jose A.",
""
],
[
"Salgado",
"Marcelo",
""
],
[
"Sudarsky",
"Daniel",
""
]
] | It has been recently argued by Hertog, Horowitz and Maeda, that generic reasonable initial data in asymptotically anti deSitter, spherically symmetric, space-times within an Einstein-Higgs theory, will evolve toward a naked singularity, in clear violation of the cosmic censor conjecture. We will argue that there is a l... |
2107.12968 | Muhammad Sharif | M. Sharif and Mariyah Aslam | Compact Objects by Gravitational Decoupling in f(R) Gravity | 30 pages, 10 figures | Eur. Phys. J. C (2021) 81:641 | 10.1140/epjc/s10052-021-09436-7 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The objective of this paper is to discuss anisotropic solutions representing
static spherical self-gravitating systems in $f(R)$ theory. We employ the
extended gravitational decoupling approach and transform temporal as well as
radial metric potentials which decomposes the system of non-linear field
equations into tw... | [
{
"created": "Fri, 9 Jul 2021 09:13:47 GMT",
"version": "v1"
}
] | 2021-07-28 | [
[
"Sharif",
"M.",
""
],
[
"Aslam",
"Mariyah",
""
]
] | The objective of this paper is to discuss anisotropic solutions representing static spherical self-gravitating systems in $f(R)$ theory. We employ the extended gravitational decoupling approach and transform temporal as well as radial metric potentials which decomposes the system of non-linear field equations into two ... |
2208.12566 | Harish Chandra Das | H. C. Das | $I-$Love$-C$ relation for an anisotropic neutron star | 12 pages, 15 figures, 4 tables, Published in Phys. rev. D | Phys. Rev. D 106, 103518 (2022) | 10.1103/PhysRevD.106.103518 | null | gr-qc astro-ph.HE nucl-th | http://creativecommons.org/licenses/by/4.0/ | One of the most common assumptions has been made that the pressure inside the
star is isotropic in nature. However, the pressure is locally anisotropic in
nature which is a more realistic case. In this study, we investigate certain
properties of anisotropic neutron stars with the scalar pressure anisotropy
model. Dif... | [
{
"created": "Fri, 26 Aug 2022 10:17:52 GMT",
"version": "v1"
},
{
"created": "Thu, 17 Nov 2022 06:33:24 GMT",
"version": "v2"
}
] | 2022-11-18 | [
[
"Das",
"H. C.",
""
]
] | One of the most common assumptions has been made that the pressure inside the star is isotropic in nature. However, the pressure is locally anisotropic in nature which is a more realistic case. In this study, we investigate certain properties of anisotropic neutron stars with the scalar pressure anisotropy model. Diffe... |
2106.05558 | Akash Kumar Mishra | Akash K Mishra, Abhirup Ghosh, Sumanta Chakraborty | Constraining extra dimensions using observations of black hole
quasi-normal modes | 11 pages, 2 figures, 1 table, Revised version accepted in EPJC | Eur. Phys. J. C 82, 820 (2022) | 10.1140/epjc/s10052-022-10788-x | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The presence of extra dimensions generically modify the spacetime geometry of
a rotating black hole, by adding an additional hair, besides the mass $M$ and
the angular momentum $J$, known as the `tidal charge' parameter, $\beta$. In a
braneworld scenario with one extra spatial dimension, the extra dimension is
expect... | [
{
"created": "Thu, 10 Jun 2021 07:36:33 GMT",
"version": "v1"
},
{
"created": "Sat, 17 Sep 2022 21:58:50 GMT",
"version": "v2"
}
] | 2022-09-20 | [
[
"Mishra",
"Akash K",
""
],
[
"Ghosh",
"Abhirup",
""
],
[
"Chakraborty",
"Sumanta",
""
]
] | The presence of extra dimensions generically modify the spacetime geometry of a rotating black hole, by adding an additional hair, besides the mass $M$ and the angular momentum $J$, known as the `tidal charge' parameter, $\beta$. In a braneworld scenario with one extra spatial dimension, the extra dimension is expected... |
1303.3215 | Pedro Fraz\~ao | Orfeu Bertolami, Pedro Fraz\~ao, Jorge P\'aramos | Cosmological perturbations in theories with non-minimal coupling between
curvature and matter | 20 pages, 1 figure | JCAP 05 (2013) 029 | 10.1088/1475-7516/2013/05/029 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, one examines how the presence of a non-minimal coupling between
the spacetime curvature and matter affects the evolution of cosmological
perturbations around a homogeneous and isotropic Universe and hence the
formation of large-scale structure. This framework places constraints on the
terms which arise ... | [
{
"created": "Wed, 13 Mar 2013 17:15:15 GMT",
"version": "v1"
},
{
"created": "Fri, 24 May 2013 12:51:06 GMT",
"version": "v2"
}
] | 2013-05-27 | [
[
"Bertolami",
"Orfeu",
""
],
[
"Frazão",
"Pedro",
""
],
[
"Páramos",
"Jorge",
""
]
] | In this work, one examines how the presence of a non-minimal coupling between the spacetime curvature and matter affects the evolution of cosmological perturbations around a homogeneous and isotropic Universe and hence the formation of large-scale structure. This framework places constraints on the terms which arise du... |
2304.03914 | Subhayan Maity | Subhayan Maity and Sujayita Bakra | Is emergent scenario in the early Universe a consequence of the dynamics
of real scalar field particle ? | null | Journal of Physics and Astronomy,2023 | 10.37532/2320-6756.2023.11(7).360 | tspa-23-110616 | gr-qc | http://creativecommons.org/licenses/by/4.0/ | Emergent scenario of cosmic evolution is a topic of great interest in recent
cosmology, especially because it describes a non-singular origin of the
Universe unlike the Big-Bang models. This types of cosmic evolution pattern
have already been established through the non-equilibrium thermodynamic
prescription. But tho... | [
{
"created": "Sat, 8 Apr 2023 05:15:13 GMT",
"version": "v1"
},
{
"created": "Tue, 11 Apr 2023 08:15:26 GMT",
"version": "v2"
},
{
"created": "Wed, 12 Apr 2023 15:53:48 GMT",
"version": "v3"
},
{
"created": "Thu, 13 Apr 2023 04:40:44 GMT",
"version": "v4"
},
{
"cr... | 2023-09-01 | [
[
"Maity",
"Subhayan",
""
],
[
"Bakra",
"Sujayita",
""
]
] | Emergent scenario of cosmic evolution is a topic of great interest in recent cosmology, especially because it describes a non-singular origin of the Universe unlike the Big-Bang models. This types of cosmic evolution pattern have already been established through the non-equilibrium thermodynamic prescription. But those... |
1911.07341 | Gregory Horndeski | Gregory W. Horndeski | Reformulating Scalar-Tensor Field Theories as Scalar-Scalar Field
Theories Using Lorentzian Cofinsler Spaces | 83 pages, 4 figures. In this version of the paper I correct typos
that appeared previously, remove superfluous verbiage, and add more
references, along with additional material to section 3. I have also added
two appendices which deal with solutions to the field equations and the
structure of the multiverse | null | null | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this paper I shall show how notions of Finsler geometry can be used to
construct a new type of geometry using a scalar field, f, on the cotangent
bundle of a differentiable manifold, M. This new geometry will be called
Lorentzian Cofinsler geometry. This geometry will enable me to use the second
vertical derivativ... | [
{
"created": "Sun, 17 Nov 2019 21:12:43 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Apr 2020 02:31:14 GMT",
"version": "v2"
},
{
"created": "Sat, 5 Sep 2020 20:54:04 GMT",
"version": "v3"
}
] | 2020-09-08 | [
[
"Horndeski",
"Gregory W.",
""
]
] | In this paper I shall show how notions of Finsler geometry can be used to construct a new type of geometry using a scalar field, f, on the cotangent bundle of a differentiable manifold, M. This new geometry will be called Lorentzian Cofinsler geometry. This geometry will enable me to use the second vertical derivatives... |
0708.0250 | Jorge Pullin | Rodolfo Gambini and Jorge Pullin | Holography from loop quantum gravity | 6 pages, RevTex, no figures, Honorable Mention Gravity Research
Foundation 2007, to appear in special issue of IJMPD | Int.J.Mod.Phys.D17:545-549,2008 | 10.1142/S0218271808012231 | LSU-REL-080107 | gr-qc hep-th | null | We show that holography arises naturally in the context of spherically
symmetric loop quantum gravity. The result is not dependent on detailed
assumptions about the dynamics of the theory being considered. It ties strongly
the amount of information contained in a region of space to the tight
mathematical underpinning... | [
{
"created": "Thu, 2 Aug 2007 12:30:15 GMT",
"version": "v1"
},
{
"created": "Mon, 4 Feb 2008 21:46:39 GMT",
"version": "v2"
}
] | 2008-11-26 | [
[
"Gambini",
"Rodolfo",
""
],
[
"Pullin",
"Jorge",
""
]
] | We show that holography arises naturally in the context of spherically symmetric loop quantum gravity. The result is not dependent on detailed assumptions about the dynamics of the theory being considered. It ties strongly the amount of information contained in a region of space to the tight mathematical underpinnings ... |
1410.8473 | Pierre Fleury | Pierre Fleury, Cyril Pitrou, Jean-Philippe Uzan | Light propagation in a homogeneous and anisotropic universe | 12 pages, no figure; v3 matches published version, except a minor
typo in Eqs. (4.8), (4.10), now corrected | Phys. Rev. D 91, 043511 (2015) | 10.1103/PhysRevD.91.043511 | null | gr-qc astro-ph.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | This article proposes a comprehensive analysis of light propagation in an
anisotropic and spatially homogeneous Bianchi I universe. After recalling that
null geodesics are easily determined in such a spacetime, we derive the
expressions of the redshift and direction drifts of light sources; by solving
analytically th... | [
{
"created": "Wed, 29 Oct 2014 19:51:52 GMT",
"version": "v1"
},
{
"created": "Sat, 8 Nov 2014 01:20:27 GMT",
"version": "v2"
},
{
"created": "Wed, 11 Mar 2015 09:59:24 GMT",
"version": "v3"
}
] | 2015-03-12 | [
[
"Fleury",
"Pierre",
""
],
[
"Pitrou",
"Cyril",
""
],
[
"Uzan",
"Jean-Philippe",
""
]
] | This article proposes a comprehensive analysis of light propagation in an anisotropic and spatially homogeneous Bianchi I universe. After recalling that null geodesics are easily determined in such a spacetime, we derive the expressions of the redshift and direction drifts of light sources; by solving analytically the ... |
1505.06189 | Ivano Dami\~ao Soares | Rodrigo Maier, Ivano Dami\~ao Soares and Eduardo Valentino Tonini | General Bianchi IX dynamics in bouncing braneworld cosmology: homoclinic
chaos and the BKL conjecture | 41 pages, 17 figures | null | 10.1088/0264-9381/32/23/235001 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine the dynamics of a Bianchi IX model on a 4-dim brane embedded in a
5-dim conformally flat empty bulk with a timelike extra dimension. Einstein's
equations on the brane reduces to a 6-dim Hamiltonian dynamical system with
additional terms that implement nonsingular bounces in the model. The phase
space of th... | [
{
"created": "Fri, 22 May 2015 19:36:17 GMT",
"version": "v1"
}
] | 2015-11-18 | [
[
"Maier",
"Rodrigo",
""
],
[
"Soares",
"Ivano Damião",
""
],
[
"Tonini",
"Eduardo Valentino",
""
]
] | We examine the dynamics of a Bianchi IX model on a 4-dim brane embedded in a 5-dim conformally flat empty bulk with a timelike extra dimension. Einstein's equations on the brane reduces to a 6-dim Hamiltonian dynamical system with additional terms that implement nonsingular bounces in the model. The phase space of the ... |
1611.00085 | Seyed Meraj Mousavi Rasouli | S. M. M. Rasouli and Paulo Vargas Moniz | Gravity-Driven Acceleration and Kinetic Inflation in Noncommutative
Brans-Dicke Setting | 6 pages, 2 figures. arXiv admin note: substantial text overlap with
arXiv:1411.1346 | null | 10.18524/1810-4215.2016.29.84956 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | By assuming the spatially flat~FLRW line-element and employing the
Hamiltonian formalism, a noncommutative (NC) setting of the Brans-Dicke (BD)
theory is introduced. We investigate gravity-driven acceleration and kinetic
inflation in this NC BD cosmology. Despite to the commutative case, in which
both the scale facto... | [
{
"created": "Mon, 31 Oct 2016 23:59:48 GMT",
"version": "v1"
}
] | 2017-01-18 | [
[
"Rasouli",
"S. M. M.",
""
],
[
"Moniz",
"Paulo Vargas",
""
]
] | By assuming the spatially flat~FLRW line-element and employing the Hamiltonian formalism, a noncommutative (NC) setting of the Brans-Dicke (BD) theory is introduced. We investigate gravity-driven acceleration and kinetic inflation in this NC BD cosmology. Despite to the commutative case, in which both the scale factor ... |
1304.6385 | Ivan Jardim Carneiro | I. C. Jardim, R. R. Landim | Deviation of Large Scale Gravitoelectromagnetic Field in Post-Newtonian
Approximation | 20 pages, 1 figure, corrected typos | null | null | null | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work a study of the gravity is made using Einstein's equation in the
post-Newtonian approach. This is a method to linearise the General Relativity
indicated to treat non-relativistic objects. It enables us to construct, from
metric-independent elements, fields that are governed by equations similar to
the Max... | [
{
"created": "Tue, 23 Apr 2013 19:27:42 GMT",
"version": "v1"
},
{
"created": "Fri, 26 Apr 2013 18:37:44 GMT",
"version": "v2"
}
] | 2013-04-29 | [
[
"Jardim",
"I. C.",
""
],
[
"Landim",
"R. R.",
""
]
] | In this work a study of the gravity is made using Einstein's equation in the post-Newtonian approach. This is a method to linearise the General Relativity indicated to treat non-relativistic objects. It enables us to construct, from metric-independent elements, fields that are governed by equations similar to the Maxwe... |
1404.6537 | Lorenzo Iorio | Lorenzo Iorio | The lingering anomalous secular increase of the eccentricity of the
orbit of the Moon: further attempts of explanation of cosmological origin | LaTex2e, 4 pages, no figures, no tables. Accepted for publication in
Galaxies | Galaxies: 2(2), pp. 259-262, 2014 | 10.3390/galaxies2020259 | null | gr-qc astro-ph.EP physics.geo-ph physics.space-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A new analysis of extended data records collected with the Lunar Laser
Ranging (LLR) technique performed with improved tidal models was not able to
resolve the issue of the anomalous rate $\dot e$ of the eccentricity $e$ of the
orbit of the Moon, which is still in place with a magnitude of $\dot e=(5\pm
2)\times 10^{... | [
{
"created": "Sat, 26 Apr 2014 11:37:24 GMT",
"version": "v1"
}
] | 2014-05-05 | [
[
"Iorio",
"Lorenzo",
""
]
] | A new analysis of extended data records collected with the Lunar Laser Ranging (LLR) technique performed with improved tidal models was not able to resolve the issue of the anomalous rate $\dot e$ of the eccentricity $e$ of the orbit of the Moon, which is still in place with a magnitude of $\dot e=(5\pm 2)\times 10^{-1... |
1703.07400 | Elena Giorgi | Elena Giorgi | On the local extension of Killing vector fields in electrovacuum
spacetimes | 20 pages. Version accepted for publication in Ann. Henri Poincar\'e.
arXiv admin note: text overlap with arXiv:1108.3575 by other authors | null | 10.1007/s00023-019-00811-5 | null | gr-qc math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We revisit the problem of extension of a Killing vector field in a spacetime
which is solution to the Einstein-Maxwell equation. This extension has been
proved to be unique in the case of a Killing vector field which is normal to a
bifurcate horizon by Yu. Here we generalize the extension of the vector field
to a str... | [
{
"created": "Tue, 21 Mar 2017 19:38:00 GMT",
"version": "v1"
},
{
"created": "Thu, 23 May 2019 23:01:18 GMT",
"version": "v2"
}
] | 2019-05-28 | [
[
"Giorgi",
"Elena",
""
]
] | We revisit the problem of extension of a Killing vector field in a spacetime which is solution to the Einstein-Maxwell equation. This extension has been proved to be unique in the case of a Killing vector field which is normal to a bifurcate horizon by Yu. Here we generalize the extension of the vector field to a stron... |
gr-qc/0509084 | Yasufumi Kojima | Yasufumi Kojima and Kentaro Takami | Tidal effects on magnetic gyration of a charged particle in Fermi
coordinates | 10 pages, 12 figures | Class.Quant.Grav. 23 (2006) 609-616 | 10.1088/0264-9381/23/3/004 | null | gr-qc | null | We examine the gyration motion of a charged particle, viewed from a reference
observer falling along the Z axis into a Schwarzschild black hole. It is
assumed that the magnetic field is constant and uniform along the Z axis, and
that the particle has a circular orbit in the X-Y plane far from the
gravitational source... | [
{
"created": "Wed, 21 Sep 2005 06:23:38 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Sep 2005 09:16:17 GMT",
"version": "v2"
},
{
"created": "Thu, 12 Jan 2006 00:27:56 GMT",
"version": "v3"
}
] | 2009-11-11 | [
[
"Kojima",
"Yasufumi",
""
],
[
"Takami",
"Kentaro",
""
]
] | We examine the gyration motion of a charged particle, viewed from a reference observer falling along the Z axis into a Schwarzschild black hole. It is assumed that the magnetic field is constant and uniform along the Z axis, and that the particle has a circular orbit in the X-Y plane far from the gravitational source. ... |
2205.04217 | Kuantay Boshkayev | Gulnara Sulieva, Kuantay Boshkayev, Gulmira Nurbakyt, Hernando
Quevedo, Aliya Taukenova, Abylaikhan Tlemissov, Zhanerke Tlemissova and Ainur
Urazalina | Adiabatic theory of motion of bodies in the Hartle-Thorne spacetime | 8 pages, 1 figure | null | null | null | gr-qc math-ph math.MP | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the motion of test particles in the gravitational field of a
rotating and deformed object within the framework of the adiabatic theory. For
this purpose, the Hartle-Thorne metric written in harmonic coordinates is
employed in the post-Newtonian approximation where the adiabatic theory is
valid. As a result, ... | [
{
"created": "Mon, 9 May 2022 12:14:13 GMT",
"version": "v1"
}
] | 2022-05-10 | [
[
"Sulieva",
"Gulnara",
""
],
[
"Boshkayev",
"Kuantay",
""
],
[
"Nurbakyt",
"Gulmira",
""
],
[
"Quevedo",
"Hernando",
""
],
[
"Taukenova",
"Aliya",
""
],
[
"Tlemissov",
"Abylaikhan",
""
],
[
"Tlemissova",
"Zhaner... | We study the motion of test particles in the gravitational field of a rotating and deformed object within the framework of the adiabatic theory. For this purpose, the Hartle-Thorne metric written in harmonic coordinates is employed in the post-Newtonian approximation where the adiabatic theory is valid. As a result, we... |
1805.07534 | Siamak Akhshabi | Siamak Akhshabi | Light propagation and optical scalars in torsion theories of gravity | 7 pages, 1 figure | Modern Physics Letters A 2 Vol. 34 (2019) 1950029 | 10.1142/S0217732319500299 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We investigate the propagation of light rays and evolution of optical scalars
in gauge theories of gravity where torsion is present. Recently the modified
Raychaudhuri equation in the presence of torsion has been derived. We use this
result to derive the basic equations of geometric optics for several different
inter... | [
{
"created": "Sat, 19 May 2018 07:38:02 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Jun 2018 06:50:46 GMT",
"version": "v2"
}
] | 2019-01-09 | [
[
"Akhshabi",
"Siamak",
""
]
] | We investigate the propagation of light rays and evolution of optical scalars in gauge theories of gravity where torsion is present. Recently the modified Raychaudhuri equation in the presence of torsion has been derived. We use this result to derive the basic equations of geometric optics for several different interes... |
1803.08809 | Graham Weir J | Graham Weir | Removing classical singularities by use of quantum mechanical sources | 13 pages | null | null | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | For distances large relative to the electron Compton wavelength, the Maxwell
and gravitational fields from a bound electron in its groundstate are
essentially those from a rotating, charged, massive point particle. For
distances small relative to the electron Compton wavelength, the corresponding
Maxwell fields and G... | [
{
"created": "Thu, 22 Mar 2018 01:51:26 GMT",
"version": "v1"
}
] | 2018-03-26 | [
[
"Weir",
"Graham",
""
]
] | For distances large relative to the electron Compton wavelength, the Maxwell and gravitational fields from a bound electron in its groundstate are essentially those from a rotating, charged, massive point particle. For distances small relative to the electron Compton wavelength, the corresponding Maxwell fields and Gen... |
gr-qc/9901007 | Maureen Meyer | S. Deser (Brandeis University) | The Immortal Bel-Robinson Tensor | 7 pages. Lecture at Iberian Gravity Symposium to appear in
"Gravitation and Relativity in General", World Publishing (1999) | Gravitation and Relativity in general (World Pub 1999) | null | null | gr-qc | null | We present some generalizations, and novel properties, of the Bel-Robinson
tensor, in the context of constructing local invariants in D=11 supergravity.
| [
{
"created": "Tue, 5 Jan 1999 14:29:24 GMT",
"version": "v1"
}
] | 2009-11-19 | [
[
"Deser",
"S.",
"",
"Brandeis University"
]
] | We present some generalizations, and novel properties, of the Bel-Robinson tensor, in the context of constructing local invariants in D=11 supergravity. |
0904.4379 | Jinsong Yang | Jinsong Yang, You Ding, Yongge Ma | Alternative quantization of the Hamiltonian in loop quantum cosmology
II: Including the Lorentz term | 8 pages, 2 figures | Phys.Lett.B682:1-7,2009 | 10.1016/j.physletb.2009.10.072 | AEI-2009-042 | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Since there are quantization ambiguities in constructing the Hamiltonian
constraint operator in isotropic loop quantum cosmology, it is crucial to check
whether the key features of loop quantum cosmology are robust against the
ambiguities. In this paper, we quantize the Lorentz term of the gravitational
Hamiltonian c... | [
{
"created": "Tue, 28 Apr 2009 12:33:55 GMT",
"version": "v1"
}
] | 2010-04-14 | [
[
"Yang",
"Jinsong",
""
],
[
"Ding",
"You",
""
],
[
"Ma",
"Yongge",
""
]
] | Since there are quantization ambiguities in constructing the Hamiltonian constraint operator in isotropic loop quantum cosmology, it is crucial to check whether the key features of loop quantum cosmology are robust against the ambiguities. In this paper, we quantize the Lorentz term of the gravitational Hamiltonian con... |
1212.0831 | Alexander Belikov V | Alexander V. Belikov, Wayne Hu | Equivalence Principle Violation in Weakly Vainshtein-Screened Systems | 7 pages, 4 figures | null | 10.1103/PhysRevD.87.084042 | null | gr-qc astro-ph.CO hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Massive gravity, galileon and braneworld models that modify gravity to
explain cosmic acceleration utilize the nonlinear field interactions of the
Vainshtein mechanism to screen fifth forces in high density regimes. These
source-dependent interactions cause apparent equivalence principle violations.
In the weakly-scr... | [
{
"created": "Tue, 4 Dec 2012 19:16:21 GMT",
"version": "v1"
}
] | 2013-04-24 | [
[
"Belikov",
"Alexander V.",
""
],
[
"Hu",
"Wayne",
""
]
] | Massive gravity, galileon and braneworld models that modify gravity to explain cosmic acceleration utilize the nonlinear field interactions of the Vainshtein mechanism to screen fifth forces in high density regimes. These source-dependent interactions cause apparent equivalence principle violations. In the weakly-scree... |
1903.09786 | Shahar Hod | Shahar Hod | On the status of the hoop conjecture in charged curved spacetimes | 4 pages | The European Physical Journal C 78, 1013 (2018) | 10.1140/epjc/s10052-018-6496-3 | null | gr-qc astro-ph.HE hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The status and regime of validity of the famous Thorne hoop conjecture in
spatially regular {\it charged} curved spacetimes are clarified.
| [
{
"created": "Sat, 23 Mar 2019 09:30:35 GMT",
"version": "v1"
}
] | 2019-04-03 | [
[
"Hod",
"Shahar",
""
]
] | The status and regime of validity of the famous Thorne hoop conjecture in spatially regular {\it charged} curved spacetimes are clarified. |
1904.02300 | Hideki Asada | Yuki Hagihara, Naoya Era, Daisuke Iikawa, Atsushi Nishizawa, Hideki
Asada | Constraining extra gravitational wave polarizations with Advanced LIGO,
Advanced Virgo and KAGRA and upper bounds from GW170817 | 22 pages, 9 figures | Phys. Rev. D 100, 064010 (2019) | 10.1103/PhysRevD.100.064010 | null | gr-qc astro-ph.HE hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | General metric theories of gravity in four-dimensional spacetimes can contain
at most six polarization modes (two spin-0, two spin-1 and two spin-2) of
gravitational waves (GWs). It has been recently shown that, with using four GW
non-coaligned detectors, a direct test of the spin-1 modes can be done in
principle sep... | [
{
"created": "Thu, 4 Apr 2019 01:34:09 GMT",
"version": "v1"
}
] | 2019-09-11 | [
[
"Hagihara",
"Yuki",
""
],
[
"Era",
"Naoya",
""
],
[
"Iikawa",
"Daisuke",
""
],
[
"Nishizawa",
"Atsushi",
""
],
[
"Asada",
"Hideki",
""
]
] | General metric theories of gravity in four-dimensional spacetimes can contain at most six polarization modes (two spin-0, two spin-1 and two spin-2) of gravitational waves (GWs). It has been recently shown that, with using four GW non-coaligned detectors, a direct test of the spin-1 modes can be done in principle separ... |
1708.04349 | Yurii Ignat'ev | Yu.G. Ignat'ev | A qualitative and numerical analysis of cosmological models based on
assymetric scalar doublet: classical + phantom scalar field. I. A case of
minimally interacting scalar fields: the qualitative analysis | 15 pages, 13 figures, 40 references | null | null | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The paper provides a qualitative and numerical analysis-based investigation
of cosmological models founded on an asymmetrical scalar doublet comprising of
a classical and a phantom scalar fields. Presence of a phantom scalar field
allows one to consider also classical scalar fields with attraction of
like-charged par... | [
{
"created": "Mon, 14 Aug 2017 22:41:01 GMT",
"version": "v1"
}
] | 2017-08-16 | [
[
"Ignat'ev",
"Yu. G.",
""
]
] | The paper provides a qualitative and numerical analysis-based investigation of cosmological models founded on an asymmetrical scalar doublet comprising of a classical and a phantom scalar fields. Presence of a phantom scalar field allows one to consider also classical scalar fields with attraction of like-charged parti... |
1712.03107 | Christian Boehmer | Sebastian Bahamonde, Christian G. Boehmer, Sante Carloni, Edmund J.
Copeland, Wei Fang, Nicola Tamanini | Dynamical systems applied to cosmology: dark energy and modified gravity | 181 pages, 35 figures, 29 tables. Comments and suggestions for
references are welcome, please note Section 1.4 `Note to the arXiv reader';
v2: revised version to take into account feedback by readers, references
updated; v3: final version matches published version | Physics Reports Vol. 775-777 (2018) 1-122 | 10.1016/j.physrep.2018.09.001 | null | gr-qc astro-ph.CO hep-th math.DS | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Nobel Prize winning confirmation in 1998 of the accelerated expansion of
our Universe put into sharp focus the need of a consistent theoretical model to
explain the origin of this acceleration. As a result over the past two decades
there has been a huge theoretical and observational effort into improving our
unde... | [
{
"created": "Fri, 8 Dec 2017 14:55:27 GMT",
"version": "v1"
},
{
"created": "Mon, 29 Jan 2018 19:43:22 GMT",
"version": "v2"
},
{
"created": "Thu, 6 Dec 2018 11:03:43 GMT",
"version": "v3"
}
] | 2018-12-07 | [
[
"Bahamonde",
"Sebastian",
""
],
[
"Boehmer",
"Christian G.",
""
],
[
"Carloni",
"Sante",
""
],
[
"Copeland",
"Edmund J.",
""
],
[
"Fang",
"Wei",
""
],
[
"Tamanini",
"Nicola",
""
]
] | The Nobel Prize winning confirmation in 1998 of the accelerated expansion of our Universe put into sharp focus the need of a consistent theoretical model to explain the origin of this acceleration. As a result over the past two decades there has been a huge theoretical and observational effort into improving our unders... |
gr-qc/0406058 | Sawa Manoff | Sawa Manoff | Variation of the velocity and the frequency of a periodic signal along
the world line of the emitter | LaTeX, 15 pages | null | null | null | gr-qc astro-ph | null | The variation of the velocity of a periodic signal and its frequency along
the world line of a standard emitter (at rest with an observer) are considered
in a space with affine connections and metrics. It is shown that the frequency
of the emitted periodic signal is depending on the kinematic characteristics of
the m... | [
{
"created": "Mon, 14 Jun 2004 07:46:42 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Manoff",
"Sawa",
""
]
] | The variation of the velocity of a periodic signal and its frequency along the world line of a standard emitter (at rest with an observer) are considered in a space with affine connections and metrics. It is shown that the frequency of the emitted periodic signal is depending on the kinematic characteristics of the mot... |
gr-qc/0309055 | Jose M. M. Senovilla | Marc Mars and Jos\'e M. M. Senovilla | Trapped surfaces and symmetries | 9 pages, no figures. Final corrected version to appear in Class.
Quantum Grav | Class.Quant.Grav. 20 (2003) L293-L300 | 10.1088/0264-9381/20/24/L03 | null | gr-qc | null | We prove that strictly stationary spacetimes cannot contain closed trapped
nor marginally trapped surfaces. The result is purely geometric and holds in
arbitrary dimension. Other results concerning the interplay between
(generalized) symmetries and trapped submanifolds are also presented.
| [
{
"created": "Tue, 9 Sep 2003 18:34:34 GMT",
"version": "v1"
},
{
"created": "Wed, 10 Sep 2003 13:39:46 GMT",
"version": "v2"
},
{
"created": "Thu, 16 Oct 2003 11:17:13 GMT",
"version": "v3"
}
] | 2009-11-10 | [
[
"Mars",
"Marc",
""
],
[
"Senovilla",
"José M. M.",
""
]
] | We prove that strictly stationary spacetimes cannot contain closed trapped nor marginally trapped surfaces. The result is purely geometric and holds in arbitrary dimension. Other results concerning the interplay between (generalized) symmetries and trapped submanifolds are also presented. |
gr-qc/9810054 | Redouane Fakir | Redouane Fakir | General relativistic cosmology with no beginning of time | Plain Latex, 3 figures | null | null | null | gr-qc astro-ph hep-ph hep-th | null | We find that general relativity can be naturally free of cosmological
singularities. Several nonsingular models are currently available that either
assume ad hoc matter contents, or are nonsingular only over a sector of
solution space of zero measure, or depart drastically from general relativity
at high energies. Af... | [
{
"created": "Sat, 17 Oct 1998 02:17:27 GMT",
"version": "v1"
}
] | 2007-05-23 | [
[
"Fakir",
"Redouane",
""
]
] | We find that general relativity can be naturally free of cosmological singularities. Several nonsingular models are currently available that either assume ad hoc matter contents, or are nonsingular only over a sector of solution space of zero measure, or depart drastically from general relativity at high energies. Afte... |
2301.04023 | Salvatore Capozziello | Salvatore Capozziello, Maurizio Capriolo, and Gaetano Lambiase | The energy-momentum complex in non-local gravity | 17 pages | null | 10.1142/S0219887823501773 | null | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In General Relativity, the issue of defining the gravitational energy
contained in a given spatial region is still unresolved, except for particular
cases of localized objects where the asymptotic flatness holds for a given
spacetime. In principle, a theory of gravity is not self-consistent, if the
whole energy conte... | [
{
"created": "Tue, 10 Jan 2023 15:09:49 GMT",
"version": "v1"
},
{
"created": "Wed, 5 Apr 2023 06:29:55 GMT",
"version": "v2"
}
] | 2023-06-06 | [
[
"Capozziello",
"Salvatore",
""
],
[
"Capriolo",
"Maurizio",
""
],
[
"Lambiase",
"Gaetano",
""
]
] | In General Relativity, the issue of defining the gravitational energy contained in a given spatial region is still unresolved, except for particular cases of localized objects where the asymptotic flatness holds for a given spacetime. In principle, a theory of gravity is not self-consistent, if the whole energy content... |
1110.5085 | S Habib Mazharimousavi | S. Habib Mazharimousavi, M. Halilsoy and T. Tahamtan | Solutions for f(R) gravity coupled with electromagnetic field | 7 pages no figure, final version for publication in European Physical
Journal C | Eur. Phys. J. C. 72, 1851 (2012) | 10.1140/epjc/s10052-011-1851-7 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In the presence of external, linear / nonlinear electromagnetic fields we
integrate f(R) \sim R+2{\alpha}\surd(R+const.) gravity equations. In contrast
to their Einsteinian cousins the obtained black holes are non-asymptotically
flat with a deficit angle. In proper limits we obtain from our general solution
the globa... | [
{
"created": "Sun, 23 Oct 2011 20:41:45 GMT",
"version": "v1"
},
{
"created": "Fri, 16 Dec 2011 17:26:11 GMT",
"version": "v2"
}
] | 2012-01-05 | [
[
"Mazharimousavi",
"S. Habib",
""
],
[
"Halilsoy",
"M.",
""
],
[
"Tahamtan",
"T.",
""
]
] | In the presence of external, linear / nonlinear electromagnetic fields we integrate f(R) \sim R+2{\alpha}\surd(R+const.) gravity equations. In contrast to their Einsteinian cousins the obtained black holes are non-asymptotically flat with a deficit angle. In proper limits we obtain from our general solution the global ... |
gr-qc/0412061 | Badri Krishnan | Sergio Dain, Jose Luis Jaramillo, and Badri Krishnan | On the existence of initial data containing isolated black holes | 11 pages, 2 figures, RevTeX4 | Phys.Rev. D71 (2005) 064003 | 10.1103/PhysRevD.71.064003 | null | gr-qc | null | We present a general construction of initial data for Einstein's equations
containing an arbitrary number of black holes, each of which is instantaneously
in equilibrium. Each black hole is taken to be a marginally trapped surface and
plays the role of the inner boundary of the Cauchy surface. The black hole is
taken... | [
{
"created": "Mon, 13 Dec 2004 18:11:47 GMT",
"version": "v1"
}
] | 2009-11-10 | [
[
"Dain",
"Sergio",
""
],
[
"Jaramillo",
"Jose Luis",
""
],
[
"Krishnan",
"Badri",
""
]
] | We present a general construction of initial data for Einstein's equations containing an arbitrary number of black holes, each of which is instantaneously in equilibrium. Each black hole is taken to be a marginally trapped surface and plays the role of the inner boundary of the Cauchy surface. The black hole is taken t... |
0811.2778 | Jose' P. S. Lemos | Jos\'e P. S. Lemos, Oleg B. Zaslavskii | The mass formula for quasi-black holes | 22 pages | Phys.Rev.D78:124013,2008 | 10.1103/PhysRevD.78.124013 | null | gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A quasi-black hole, either non-extremal or extremal, can be broadly defined
as the limiting configuration of a body when its boundary approaches the body's
quasihorizon. We consider the mass contributions and the mass formula for a
static quasi-black hole. The analysis involves careful scrutiny of the surface
stresse... | [
{
"created": "Mon, 17 Nov 2008 19:32:30 GMT",
"version": "v1"
}
] | 2008-12-30 | [
[
"Lemos",
"José P. S.",
""
],
[
"Zaslavskii",
"Oleg B.",
""
]
] | A quasi-black hole, either non-extremal or extremal, can be broadly defined as the limiting configuration of a body when its boundary approaches the body's quasihorizon. We consider the mass contributions and the mass formula for a static quasi-black hole. The analysis involves careful scrutiny of the surface stresses ... |
1508.07961 | Benjamin Bahr | Benjamin Bahr, Sebastian Steinhaus | Investigation of the Spinfoam Path integral with Quantum Cuboid
Intertwiners | 17 pages, 14 figures, changed to match published version, title
changed to match journal specifications | Phys. Rev. D 93, 104029 (2016) | 10.1103/PhysRevD.93.104029 | null | gr-qc hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In this work, we investigate the 4d path integral for Euclidean quantum
gravity on a hypercubic lattice, as given by the Spin Foam model by Engle,
Pereira, Rovelli, Livine, Freidel and Krasnov (EPRL-FK). To tackle the problem,
we restrict to a set of quantum geometries that reflects the large amount of
lattice symmet... | [
{
"created": "Mon, 31 Aug 2015 18:59:49 GMT",
"version": "v1"
},
{
"created": "Tue, 17 May 2016 14:30:11 GMT",
"version": "v2"
}
] | 2016-05-25 | [
[
"Bahr",
"Benjamin",
""
],
[
"Steinhaus",
"Sebastian",
""
]
] | In this work, we investigate the 4d path integral for Euclidean quantum gravity on a hypercubic lattice, as given by the Spin Foam model by Engle, Pereira, Rovelli, Livine, Freidel and Krasnov (EPRL-FK). To tackle the problem, we restrict to a set of quantum geometries that reflects the large amount of lattice symmetri... |
gr-qc/9505006 | Karen Brewster | Carlo Rovelli and Lee Smolin | Spin Networks and Quantum Gravity | 42 pages | Phys.Rev. D52 (1995) 5743-5759 | 10.1103/PhysRevD.52.5743 | CGPG-95/4-4, IASSNS-HEP-95/27 | gr-qc | null | We introduce a new basis on the state space of non-perturbative quantum
gravity. The states of this basis are linearly independent, are well defined in
both the loop representation and the connection representation, and are labeled
by a generalization of Penrose's spin netoworks. The new basis fully reduces
the spino... | [
{
"created": "Thu, 4 May 1995 18:13:58 GMT",
"version": "v1"
}
] | 2009-10-28 | [
[
"Rovelli",
"Carlo",
""
],
[
"Smolin",
"Lee",
""
]
] | We introduce a new basis on the state space of non-perturbative quantum gravity. The states of this basis are linearly independent, are well defined in both the loop representation and the connection representation, and are labeled by a generalization of Penrose's spin netoworks. The new basis fully reduces the spinor ... |
1608.06353 | Carlos Vega | Gregory J. Galloway and Carlos Vega | Hausdorff closed limits and rigidity in Lorentzian geometry | 29 pages, 5 figures | null | 10.1007/s00023-017-0594-x | null | gr-qc math.DG | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We begin with a basic exploration of the (point-set topological) notion of
Hausdorff closed limits in the spacetime setting. Specifically, we show that
this notion of limit is well suited to sequences of achronal sets, and use this
to generalize the `achronal limits' introduced in [12]. This, in turn, allows
for a br... | [
{
"created": "Tue, 23 Aug 2016 01:28:19 GMT",
"version": "v1"
}
] | 2018-03-28 | [
[
"Galloway",
"Gregory J.",
""
],
[
"Vega",
"Carlos",
""
]
] | We begin with a basic exploration of the (point-set topological) notion of Hausdorff closed limits in the spacetime setting. Specifically, we show that this notion of limit is well suited to sequences of achronal sets, and use this to generalize the `achronal limits' introduced in [12]. This, in turn, allows for a broa... |
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