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In this paper, we consider the problems of spherical gravitational collapse and accretion using a spherically symmetric, spatially homothetic spacetime, that is, as an exact solution (cqg1) of the field equations of general relativity.…

Astrophysics · Physics 2007-05-23 Sanjay M Wagh

We consider the effect of a positive cosmological constant on spherical gravitational collapse to a black hole for a few simple, analytic cases. We construct the complete Oppenheimer-Snyder-deSitter (OSdS) spacetime, the generalization of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Draza Markovic , Stuart Shapiro

We consider perturbative solutions in Einstein gravity with higher-derivative extensions and address some subtle issues of taking extremal limit. As a concrete new result, we construct the perturbative rotating black hole in five dimensions…

High Energy Physics - Theory · Physics 2023-11-01 Liang Ma , Yue-Zhou Li , H. Lu

Quantum gravity is treated as a stochastic quantization of the spacetime metric of general relativity. It is found that owing to the stochastic fluctuating behavior of the geometry, the singularity in gravitational collapse of a star has a…

High Energy Physics - Theory · Physics 2014-02-06 J. W. Moffat

General Relativity is expected to break down in the high-curvature regime. Beyond an effective field theory treatment with higher-order operators, it is important to identify consistent theories with higher-curvature terms at the…

General Relativity and Quantum Cosmology · Physics 2025-10-22 Fabrizio Corelli , Paolo Pani , Andrea P. Sanna

In recent times there is a surge of interest in constructing Einstein-Gauss-Bonnet (EGB) gravity, in the limit $D \to 4 $, of the $D$-dimensional EGB gravity. Interestingly, the static spherically symmetric solutions in the various proposed…

General Relativity and Quantum Cosmology · Physics 2020-10-20 Sushant G. Ghosh , Rahul Kumar

It is fair to say that our current mathematical understanding of the dynamics of gravitational collapse to a black hole is limited to the spherically symmetric situation and, in fact, even in this case much remains to be learned. The reason…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Piotr Bizoń , Bernd G. Schmidt

We study gravitational collapse in effective loop quantum gravity, focusing on non-marginally bound configurations in Lema\^itre-Tolman-Bondi spacetimes. In the homogeneous limit we recover the effective dynamics of loop quantum cosmology…

General Relativity and Quantum Cosmology · Physics 2024-09-06 Lorenzo Cipriani , Francesco Fazzini , Edward Wilson-Ewing

We present a method for solving the constraint equations in the Hassan-Rosen bimetric theory to determine the initial data for the gravitational collapse of spherically symmetric dust. The setup leads to equations similar to those for a…

General Relativity and Quantum Cosmology · Physics 2025-03-24 Mikica Kocic , Francesco Torsello , Marcus Högås , Edvard Mortsell

Theoretical arguments and cosmological observations suggest that Einstein's theory of general relativity needs to be modified at high energies. One of the best motivated higher-curvature extensions of general relativity is…

General Relativity and Quantum Cosmology · Physics 2017-08-04 Laura Sberna

We present an explicit exact solution of Einstein's equations for an inhomogeneous dust universe with cylindrical symmetry. The spacetime is extremely simple but nonetheless it has new surprising features. The universe is ``closed'' in the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Jose M. M. Senovilla , Raul Vera

The collapse of marginally bound, inhomogeneous, pressureless (dust) matter, in spherical symmetry, is considered. The starting point is not, in this case, the integration of the Einstein equations from some suitable initial conditions.…

General Relativity and Quantum Cosmology · Physics 2018-04-27 Ramon Lapiedra , Juan Antonio Morales-Lladosa

In this paper, we address the implications when a homogeneous dust model is considered for a scenario of gravitational collapse in the context of Eddington-inspired Born-Infeld (EiBI) theory. In order to describe the dynamical evolution of…

General Relativity and Quantum Cosmology · Physics 2017-02-15 Yaser Tavakoli , Celia Escamilla-Rivera , Julio C. Fabris

The stability under radial and vertical perturbations of circular orbits associated to particles orbiting a spherically symmetric center of attraction is study in the context of the n-dimensional: Newtonian theory of gravitation, Einstein's…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Valeria M. Rosa , Patricio S. Letelier

We explore the generalized covariant entropy bound in the theory where Einstein gravity is perturbed by quadratic curvature terms, which can be viewed as the first-order quantum correction to Einstein gravity. By replacing the…

General Relativity and Quantum Cosmology · Physics 2023-11-10 Hu Zhu , Jie Jiang

We study the spacetime structures of the static solutions in the $n$-dimensional Einstein-Gauss-Bonnet-$\Lambda$ system systematically. We assume the Gauss-Bonnet coefficient $\alpha$ is non-negative. The solutions have the…

High Energy Physics - Theory · Physics 2009-11-11 Takashi Torii , Hideki Maeda

Recently, a non-trivial $4D$ Einstein-Gauss-Bonnet (EGB) theory of gravity, by rescaling the GB coupling parameter as $\alpha/(D-4)$, was formulated in \cite{Glavan:2019inb}, which bypasses Lovelock's theorem and avoids Ostrogradsky…

General Relativity and Quantum Cosmology · Physics 2020-09-17 Shafqat Ul Islam , Rahul Kumar , Sushant G. Ghosh

Regular black hole spacetimes are obtained from an effective Lagrangian for Quantum Einstein Gravity. The interior matter is modeled as a dust fluid, which interacts with the geometry through a multiplicative coupling function denoted as…

General Relativity and Quantum Cosmology · Physics 2026-05-06 Alfio Bonanno , Daniele Malafarina , Antonio Panassiti

We hereby show that the Kasner spacetime turns out to be singularity-free in Einstein's conformal gravity in vacuum or in presence of matter. Such a statement is based on the regularity of the curvature invariants and on the geodesic…

General Relativity and Quantum Cosmology · Physics 2019-06-24 Leonardo Modesto , Hui-Yu Zhu , Jun-Yan Zhang

We present numerical solutions of several spacetimes of physical interest, including binary black hole mergers, in shift-symmetric Einstein-scalar-Gauss-Bonnet (ESGB) gravity, and describe our methods for solving the full equations of…

General Relativity and Quantum Cosmology · Physics 2021-02-25 William E. East , Justin L. Ripley
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