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We study the covariant entropy bound in the context of gravitational collapse. First, we discuss critically the heuristic arguments advanced by Bousso. Then we solve the problem through an exact model: a Tolman-Bondi dust shell collapsing…

High Energy Physics - Theory · Physics 2009-11-10 Sijie Gao , Jose' P. S. Lemos

Gravitational collapse of matter in the presence of rotation is a mostly unexplored topic but it might have important implications for cosmic censorship. Recently a convenient setup was identified to address this problem, by considering…

General Relativity and Quantum Cosmology · Physics 2015-04-14 Jorge V. Rocha

We examine the gravitational collapse and black hole formation of multiple non--spherical configurations constructed from Szekeres dust models with positive spatial curvature that smoothly match to a Schwarzschild exterior. These…

General Relativity and Quantum Cosmology · Physics 2018-05-22 Ismael Delgado Gaspar , Juan Carlos Hidalgo , Roberto A. Sussman , Israel Quiros

There are several possible choices of the time parameter for the canonical description of a self-gravitating thin shell, but quantum thories built on different time parameters lead to unitarily inequivalent descriptions. We compare the…

General Relativity and Quantum Cosmology · Physics 2022-05-04 Cenalo Vaz

In a previous paper we formulated a set of necessary conditions for the spherically symmetric weakly charged dust to avoid Big Bang/Big Crunch, shell crossing and permanent central singularities. However, we did not discuss the properties…

General Relativity and Quantum Cosmology · Physics 2009-09-29 Andrzej Krasiński , Krzysztof Bolejko

We consider the growth of primordial dark matter halos seeded by three crossed initial sine waves of various amplitudes. Using a Lagrangian treatment of cosmological gravitational dynamics, we examine the convergence properties of a…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-18 Shohei Saga , Atsushi Taruya , Stéphane Colombi

In the present work, we revisit the process of gravitational collapse of a spherically symmetric homogeneous dust fluid which is known as the Oppenheimer-Snyder (OS) model [1]. We show that such a scenario would not end in a spacetime…

General Relativity and Quantum Cosmology · Physics 2015-02-25 Mostafa Hashemi , Shahram Jalalzadeh , Amir Hadi Ziaie

A simple self gravitating system --- a thin spherical shell of charged pressureless matter --- is naively quantized as a test case of quantum gravitational collapse. The model is interpreted in terms of an inner product on the positive…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Eli Hawkins

Gravitational collapse of radiation shells in a non self-similar higher dimensional spherically symmetric spacetime is studied. Strong curvature naked singularities form for a highly inhomogeneous collapse, violating the cosmic censorship…

General Relativity and Quantum Cosmology · Physics 2009-11-07 S G Ghosh , R V Saraykar , A Beesham

We investigate the occurrence and nature of a naked singularity in the gravitational collapse of an inhomogeneous dust cloud described by higher dimensional Tolman-Bondi space-times. The naked singularities are found to be gravitationally…

General Relativity and Quantum Cosmology · Physics 2009-11-07 S G Ghosh , A Beesham

We explore the gravitational collapse of a spherically symmetric dust cloud in the Einstein-Gauss-Bonnet gravity without a cosmological constant, and obtain three families of LTB-like solutions. It is shown that the Gauss-Bonnet term has a…

General Relativity and Quantum Cosmology · Physics 2011-10-04 Kang Zhou , Zhan-Ying Yang , De-Cheng Zou , Rui-Hong Yue

We investigate the properties of highly compressible turbulence, the compressibility arising from a small effective polytropic exponent $\gamma_e$ due to cooling. In the limit of small $\gamma_e$, the density jump at shocks is shown to be…

Astrophysics · Physics 2009-10-28 E. Vazquez-Semadeni , T. Passot , A. Pouquet

Covariant equations characterizing the strength of a singularity in spherical symmetry are derived and several models are investigated. The difference between central and non-central singularities is emphasised. A slight modification to the…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Brien C. Nolan

We investigate the occurrence and nature of a naked singularity in the gravitational collapse of an inhomogeneous dust cloud described by a non self-similar higher dimensional Tolman spacetime. The necessary condition for the formation of a…

General Relativity and Quantum Cosmology · Physics 2009-10-31 S G Ghosh , A Beesham

We investigate the occurrence and nature of a naked singularity in the gravitational collapse of an inhomogeneous dust cloud described by a self-similar higher dimensional Tolman-Bondi space-time. Bound, marginally bound and unbound…

General Relativity and Quantum Cosmology · Physics 2009-11-07 S. G. Ghosh , A. Banerjee

We consider here the gravitational collapse of a spherically symmetric inhomogeneous dust cloud described by the Tolman-Bondi models. By studying a general class of these models, we find that the end state of the collapse is either a black…

General Relativity and Quantum Cosmology · Physics 2009-10-22 P. S. Joshi , T. P. Singh

We investigate particular cosmological models, based either on tachyon fields or on perfect fluids, for which soft future singularities arise in a natural way. Our main result is the description of a smooth crossing of the soft singularity…

General Relativity and Quantum Cosmology · Physics 2018-04-18 A. Yu. Kamenshchik

Discovering novel emergent behavior in quantum many-body systems is a main objective of contemporary research. In this paper, we explore the effects on phases and phase transitions of the proximity to a Ruelle-Fisher instability, marking…

Statistical Mechanics · Physics 2024-09-12 Saverio Moroni , Fabio Cinti , Massimo Boninsegni , Giuseppe Pellicane , Santi Prestipino

We study how the presence of an area gap, different than zero, affects the gravitational collapse of a dust ball. The implementation of such discreteness is achieved through the framework of polymer quantization, a scheme inspired by loop…

General Relativity and Quantum Cosmology · Physics 2025-05-13 L. Boldorini , G. Montani

We give a model of the higher-dimensional spherically symmetric gravitational collapse of a dust cloud in Einstein-Gauss-Bonnet gravity. A simple formulation of the basic equations is given for the spacetime $M \approx M^2 \times K^{n-2}$…

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