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We describe a class of exactly soluble models for gravitational collapse in spherical symmetry obtained by patching dynamical spherically symmetric exterior spacetimes with cosmological interior spacetimes. These are generalizations of the…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Benjamin K. Tippett , Viqar Husain

Finsler geometry is just riemannian geometry without the quadratic restriction[1]. In this paper, we study the motion of massive(non-zero rest mass) and massless particles for schwarzschild metric in finsler spacetime in the case of two…

General Relativity and Quantum Cosmology · Physics 2018-01-08 V. Sai sumith Reddy

We study, using the metric variables, how an effective theory for the Oppenheimer-Snyder gravitational collapse can be built with the $\bar{\mu}$ scheme from Loop Quantum Gravity (LQG). The collapse is analyzed for both the flat and…

General Relativity and Quantum Cosmology · Physics 2025-11-07 L. Boldorini , G. Montani

This article presents an effective quantum extension of the seminal Oppenheimer-Snyder (OS) collapse in which the singularity resolution is modeled using the effective dynamics of the spatially closed loop quantum cosmology. Imposing the…

General Relativity and Quantum Cosmology · Physics 2021-01-04 Jibril Ben Achour , Jean-Philippe Uzan

Quadratic Gravity supplements the Einstein-Hilbert action by terms quadratic in the spacetime curvature. This leads to a rich phase space of static, compact gravitating objects including the Schwarzschild black hole, wormholes, and naked…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Luca Buoninfante , Francesco Di Filippo , Ivan Kolář , Frank Saueressig

The collapse of cavities under shock is a key problem in various fields ranging from erosion of material, ignition of explosive, to sonoluminescence, etc. We study such processes using the material-point-method developed recently in the…

Materials Science · Physics 2007-07-18 Aiguo Xu , X. F. Pan , Guangcai Zhang , Jianshi Zhu

In this work we study the dynamics of gravitational collapse of a homogeneous dust sphere in a model exhibiting a linear non-minimal coupling between matter and curvature. The evolution of the scale factor and the matter density is obtained…

General Relativity and Quantum Cosmology · Physics 2012-12-12 J. Páramos , C. Bastos

Recently the quantum Oppenheimer-Snyder gravitational collapse model has been proposed in loop quantum gravity, providing quantum-corrected Schwarzschild spacetimes as the exterior of the collapsing dust ball. In this paper, the quantum…

General Relativity and Quantum Cosmology · Physics 2023-07-20 Jinsong Yang , Cong Zhang , Yongge Ma

Within the Lemaitre-Tolman-Bondi formalism for gravitational collapse of inhomogeneous dust we analyze the parameter space that leads to the formation of a globally covered singularity (i.e. a black hole) when some physically reasonable…

General Relativity and Quantum Cosmology · Physics 2015-09-09 Pankaj S. Joshi , Daniele Malafarina

The success of the moving puncture method for the numerical simulation of black hole systems can be partially explained by the properties of stationary solutions of the 1+log coordinate condition. We compute stationary 1+log slices of the…

General Relativity and Quantum Cosmology · Physics 2010-03-26 Bernd Bruegmann

By considering the quantum Oppenheimer-Snyder model in loop quantum cosmology, a new quantum black hole model whose metric tensor is a suitably deformed Schwarzschild one is derived. The quantum effects imply a lower bound on the mass of…

General Relativity and Quantum Cosmology · Physics 2023-03-08 Jerzy Lewandowski , Yongge Ma , Jinsong Yang , Cong Zhang

In this paper we investigate circular orbits for test particles around Schwarzschild-de Sitter (dS) black hole surrounded by perfect fluid dark matter. We determine the region of circular orbits bounded by innermost and outermost stable…

General Relativity and Quantum Cosmology · Physics 2021-08-09 Javlon Rayimbaev , Sanjar Shaymatov , Mubasher Jamil

Dust configurations are the simplest models for astrophysical objects. Here we examine the gravitational collapse of an infinite cylinder of dust and give an analytic interior solution. Surprisingly, starting with a cylindrically symmetric…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. Hennig , G. Neugebauer

We study gravitational perturbations sourced by a rotating test shell collapsing into five-dimensional Myers-Perry black holes in anti-de Sitter (AdS). Our attention is restricted to the case in which the two possible angular momenta of the…

General Relativity and Quantum Cosmology · Physics 2014-05-26 Jorge V. Rocha , Raphael Santarelli , Térence Delsate

The extension of the general relativity theory to higher dimensions, so that the field equations for the metric remain of second order, is done through the Lovelock action. This action can also be interpreted as the dimensionally continued…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Anderson Ilha , Jose' P. S. Lemos

The gravitational collapse of a star is an important issue both for general relativity and astrophysics, which is related to the well known "frozen star" paradox. Following the seminal work of Oppenheimer and Schneider (1939), we present…

Astrophysics · Physics 2009-11-13 Shuang Nan Zhang , Yuan Liu

Effective models of gravitational collapse in loop quantum gravity for the Lema\^itre-Tolman-Bondi spacetime predict that collapsing matter reaches a maximum finite density, bounces, and then expands outwards. We show that in the marginally…

General Relativity and Quantum Cosmology · Physics 2024-04-23 Francesco Fazzini , Viqar Husain , Edward Wilson-Ewing

The ``moving puncture'' technique has led to dramatic advancements in the numerical simulations of binary black holes. Hannam et.al. have recently demonstrated that, for suitable gauge conditions commonly employed in moving puncture…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thomas W. Baumgarte , Stephen G. Naculich

Semi-classical corrections at large curvature are employed in toy models of spherically symmetric gravitational collapse in order to avoid the formation of singularities. The resulting spacetimes may produce bounces, compact remnants or…

General Relativity and Quantum Cosmology · Physics 2022-11-23 Daniele Malafarina

We point out that although the pioneering work of Oppenheimer and Snyder (OS), technically, indicated the formation of an event horizon for a collapsing homogeneous dust ball of mass $M_b$ and radius $R_b$, the Eqs. (32) and (36) of their…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Abhas Mitra