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The Einstein equations are integrated in the presence of two (incoming and outgoing) streams of null dust, under the assumptions of spherical symmetry and staticity. The solution is also written in double null and radiation coordinates and…

General Relativity and Quantum Cosmology · Physics 2010-11-19 László Á. Gergely

In general relativity, the endpoint of spherically symmetric gravitational collapse is a Schwarzschild--[(A)dS] black hole. In bimetric gravity, it has been speculated that a static end state must also be Schwarzschild--[(A)dS]. To this…

General Relativity and Quantum Cosmology · Physics 2020-06-09 Marcus Högås , Mikica Kocic , Francesco Torsello , Edvard Mörtsell

We investigate the geometrical structure of Vaidya's spacetime in the case of a white hole with decreasing mass, stabilising to a black hole in finite or infinite time or evaporating completely. Our approach relies on a detailed analysis of…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Armand Coudray , Jean-Philippe Nicolas

We study quantum corrections for the Schwarzshild black hole by considering it as a vacuum solution of a 2D dilaton gravity theory obtained by spherical reduction of 4D gravity coupled with matter. We find perturbatively the vacuum solution…

General Relativity and Quantum Cosmology · Physics 2009-01-16 Maja Buric , Voja Radovanovic , Aleksandar Mikovic

We consider spherically symmetric gravity coupled to a spherically symmetric scalar field with a specific coupling which depends on the Areal Radius. Classical collapse is described by the Vaidya solution. The semiclassical Einstein…

General Relativity and Quantum Cosmology · Physics 2024-10-28 Madhavan Varadarajan

We study the spherically symmetric collapse of a cloud of dust in VCDM, a class of gravitational theories with two local physical degrees of freedom. We find that the collapse corresponds to a particular foliation of the Oppenheimer-Snyder…

General Relativity and Quantum Cosmology · Physics 2023-03-22 Antonio De Felice , Kei-ichi Maeda , Shinji Mukohyama , Masroor C. Pookkillath

In the asymptotically flat two-dimensional dilaton gravity, we present an N-body particle action which has a dilaton coupled mass term for the exact solubility. This gives nonperturbative exact solutions for the N-body self-gravitating…

High Energy Physics - Theory · Physics 2009-11-07 Won Tae Kim , Edwin J. Son

We present a detailed study of the Vaidya solution and its generalization in de Rham-Gabadadze-Tolley (dRGT) theory. Since the diffeomorphism invariance can be restored with the St\"{u}ckelberg fields $\phi^a$ introduced, there is a new…

General Relativity and Quantum Cosmology · Physics 2016-12-19 Ping Li , Xin-zhou Li , Xiang-hua Zhai

In case of spherical symmetry, the assumptions of finite-time formation of a trapped region and regularity of its boundary --- the apparent horizon --- are sufficient to identify the form of the metric and energy-momentum tensor in its…

General Relativity and Quantum Cosmology · Physics 2020-01-13 Valentina Baccetti , Sebastian Murk , Daniel R. Terno

We initiate the study of the dynamics of spherically symmetric spacetimes beyond general relativity through exact solutions of the field equations of second-order effective gravitational theories defined solely in terms of the symmetries of…

General Relativity and Quantum Cosmology · Physics 2026-04-24 Valentin Boyanov , Raúl Carballo-Rubio

A semiclassical two-dimensional dilaton-gravity model is obtained by dimensional reduction of the spherically symmetric five-dimensional Einstein equations and used to investigate black hole evaporation. It is shown that this model prevents…

General Relativity and Quantum Cosmology · Physics 2016-08-14 P. F. González-Díaz

We present a general class of non-singular black holes in semi-classical, two-dimensional dilaton gravity, with a focus on a Bardeen-like model. The equations of motion for an evaporating black hole including backreaction are solved…

General Relativity and Quantum Cosmology · Physics 2025-03-06 Jonathan Barenboim , Andrei V. Frolov , Gabor Kunstatter

In this paper, we have studied non stationary dust spherically symmetric spacetime, in general covariant theory ($U(1)$ extension) of the Ho\v{r}ava-Lifshitz gravity with the minimally coupling and non-minimum coupling with matter, in the…

General Relativity and Quantum Cosmology · Physics 2016-02-09 O. Goldoni , M. F. A. da Silva , R. Chan

The gravitational collapse of a high-density null charged matter fluid, satisfying the Hagedorn equation of state, is considered in the framework of the Vaidya geometry. The general solution of the gravitational field equations can be…

General Relativity and Quantum Cosmology · Physics 2009-11-10 T. Harko

We obtain a general spherically symmetric solution of a null dust fluid in $n (\geq 4)$-dimensions in Gauss-Bonnet gravity. This solution is a generalization of the $n$-dimensional Vaidya-(anti)de Sitter solution in general relativity. For…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Hideki Maeda

Exact solutions of spherically symmetric black hole and gravitational wave are explored in $f(R)$ gravity in arbitrary dimension. We find two exact solutions for the radiation and absorption of null dust. In the framework of general…

General Relativity and Quantum Cosmology · Physics 2023-12-21 Chunmei Liu , Hongsheng Zhang

We study the Einstein gravity and dust system in three spacetime dimensions as an example of a non-perturbative quantum gravity model with local degrees of freedom. We derive the Hamiltonian theory in the dust time gauge and show that it…

General Relativity and Quantum Cosmology · Physics 2015-07-08 Viqar Husain , Jonathan Ziprick

In this paper, we take dust matter and investigate static spherically symmetric solution of the field equations in metric f(R) gravity. The solution is found with constant Ricci scalar curvature and its energy distribution is evaluated by…

General Physics · Physics 2015-05-27 Muhammad Sharif , Hafiza Rizwana Kausar

The symmetries of generic 2D dilaton models of gravity with (and without) matter are studied in some detail. It is shown that $\delta_2$, one of the symmetries of the matterless models, can be generalized to the case where matter fields of…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Miguel Navarro

We study the formation of a black hole and its subsequent evaporation in a model employing a minisuperspace approach to loop quantum gravity. In previous work the static solution was obtained and shown to be singularity-free. Here, we…

General Relativity and Quantum Cosmology · Physics 2010-04-21 Sabine Hossenfelder , Leonardo Modesto , Isabeau Prémont-Schwarz
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