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Using a confining potential, we consider spherically symmetric vacuum (static black hole) solutions in a brane-world scenario. Working with a constant curvature bulk, two interesting cases/solutions are studied. A Schwarzschild-de Sitter…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Heydari-Fard , H. Razmi , H. R. Sepangi

We discuss the stability and construct dynamical configurations describing the gravitational collapse of unstable neutron stars with realistic equations of state compatible with the recent LIGO-Virgo constraints. Unlike other works that…

General Relativity and Quantum Cosmology · Physics 2020-06-17 J. M. Z. Pretel , M. F. A. da Silva

A new numerical framework, based on the use of a simple first order strongly hyperbolic evolution equations, is introduced and tested in case of 4-dimensional spherically symmetric gravitating systems. The analytic setup is chosen such that…

General Relativity and Quantum Cosmology · Physics 2015-05-14 Peter Csizmadia , Istvan Racz

We examine the stability of steady-state galileon accretion for the case of a Schwarzshild black hole. Considering the galileon action up to the cubic term in a static and spherically symmetric background we obtain the general solution for…

General Relativity and Quantum Cosmology · Physics 2017-07-13 Santiago P. E. Bergliaffa , Rodrigo Maier

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

Current ground-based gravitational wave detectors are tuned to capture the collision of compact objects such as stellar origin black holes and neutron stars; over 20 such events have been published to date. Theoretically, however, more…

General Relativity and Quantum Cosmology · Physics 2021-08-18 James B. Dent , William E. Gabella , Kelly Holley-Bockelmann , Thomas W. Kephart

We investigate stable central structures in multiply-connected, anti de Sitter spacetimes with spherical, planar and hyperbolic geometries. We obtain an exact solution for the pressure in terms of the radius when the density is constant. We…

General Relativity and Quantum Cosmology · Physics 2009-10-31 W. L. Smith , R. B. Mann

We investigate here the gravitational collapse end states for a spherically symmetric perfect fluid with an equation of state $p=k\rho$. It is shown that given a regular initial data in terms of the density and pressure profiles at the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Rituparno Goswami , Pankaj S Joshi

We analyze the problem of gravitational collapse considering the matching of an exterior region described by the Vaidya's metric and an interior region described by a spherically symmetric shear-free inhomogeneous geometry sourced by a…

General Relativity and Quantum Cosmology · Physics 2026-02-25 Eduardo Bittencourt , Vanessa P Freitas , José M Salim , Grasiele B Santos

This paper is devoted to analyze the dynamical instability of a self-gravitating object undergoes to collapse process. We take the framework of generalized teleparallel gravity with cylindrically symmetric gravitating object. The matter…

General Relativity and Quantum Cosmology · Physics 2016-10-31 Abdul Jawad , Davood Momeni , Shamaila Rani , Ratbay Myrzakulov

We present an efficient numerical algorithm for evolving self-gravitating systems of dark-matter particles that leverages the assumption of spherical symmetry to reduce the nominally six-dimensional phase space to three dimensions. It can…

Astrophysics of Galaxies · Physics 2025-04-22 Marc Kamionkowski , Kris R. Sigurdson

We investigate the threshold of gravitational collapse with angular momentum, under the assumption that the critical solution is spherical and self-similar and has two growing modes, namely one spherical mode and one axial dipole mode…

General Relativity and Quantum Cosmology · Physics 2009-11-07 C. Gundlach

We review in generality why time-independent endstates can be reached in black hole and collapse simulations, with and without excision. We characterise the Killing states of the Bona-Masso slicing condition with time derivative along the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 David Garfinkle , Carsten Gundlach , David Hilditch

Einstein's equations imply that a gravitationally collapsed object forms an event horizon. But what lies on the other side of this horizon? In this paper, we question the reality of the conventional solution (the black hole), and point out…

High Energy Physics - Theory · Physics 2025-05-22 Kostas Tzanavaris , Latham Boyle , Neil Turok

Shape dynamics is a classical theory of gravity which agrees with general relativity in many important aspects, but which possesses different gauge symmetries and can present some fundamental global differences with respect to Einstein…

General Relativity and Quantum Cosmology · Physics 2014-10-07 Henrique Gomes , Gabriel Herczeg

Within a semiclassical framework, we investigate spherically symmetric solutions of the Einstein equations that (i) develop a trapped region within a finite time as measured by distant observers, and (ii) remain sufficiently regular at the…

General Relativity and Quantum Cosmology · Physics 2025-09-16 Swayamsiddha Maharana , Rama Vadapalli

We study gravitational collapse for the Starobinsky $R^2$ model, a particular example of an $f(r)$ theory, in a spherically symmetric spacetime. We add a massless scalar field as matter content to the spacetime. We work in the Einstein…

General Relativity and Quantum Cosmology · Physics 2023-01-02 Yolbeiker Rodríguez Baez

We study critical phenomena in the gravitational collapse of a radiation fluid. We perform numerical simulations in both spherical symmetry and axisymmetry, and observe critical scaling in both supercritical evolutions, which lead to the…

General Relativity and Quantum Cosmology · Physics 2016-01-08 Thomas W. Baumgarte , Pedro J. Montero

We investigate a static, spherically symmetric black hole solution surrounded by a cloud of strings and immersed in an electromagnetic universe. By deriving the event horizon from the lapse function, we demonstrate that both the string…

General Relativity and Quantum Cosmology · Physics 2025-12-04 Ahmad Al-Badawi , Faizuddin Ahmed , İzzet Sakallı

We investigate the stability of a family of spherically symmetric static solutions in vacuum Brans-Dicke theory (with $\omega=0$) recently described by van Putten. Using linear perturbation theory, we find one exponentially growing mode for…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Matthew W. Choptuik , Eric W. Hirschmann , Steven Liebling