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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

It has been well known that in the point of view of a distant observer, all in-falling matter to a black hole (BH) will be eventually stalled and "frozen" just outside the event horizon of the BH, although an in-falling observer will see…

Astrophysics · Physics 2008-11-26 Shuang Nan Zhang , Yuan Liu

Oppenheimer and Snyder found in 1939 that gravitational collapse in vacuum produces a "frozen star", i.e., the collapsing matter only asymptotically approaches the gravitational radius (event horizon) of the mass, but never crosses it…

General Relativity and Quantum Cosmology · Physics 2012-09-14 Shuang-Nan Zhang

We study of the collapse of a magnetized spherical star to a black hole in general relativity theory. The matter and gravitational fields are described by the exact Oppenheimer-Snyder solution for the collapse of a spherical, homogeneous…

Astrophysics · Physics 2008-11-26 Thomas W. Baumgarte , Stuart L. Shapiro

The shadow of a black hole is usually calculated, either analytically or numerically, on the assumption that the black hole is eternal, i.e., that it existed for all time. Here we ask the question of how this shadow comes about in the…

General Relativity and Quantum Cosmology · Physics 2018-05-15 Stefanie Schneider , Volker Perlick

The problem of a spherically symmetric charged thin shell of dust collapsing gravitationally into a charged Reissner-Nordstr\"om black hole in $d$ spacetime dimensions is studied within the theory of general relativity. Static charged…

High Energy Physics - Theory · Physics 2008-11-26 Sijie Gao , José P. S. Lemos

Spherically gravitational collapse towards a black hole with non-zero tangential pressure is studied. Exact solutions corresponding to different equations of state are given. We find that when taking the tangential pressure into account,…

General Relativity and Quantum Cosmology · Physics 2020-03-17 Sheng-Xian Zhao , Shuang-Nan Zhang

We investigate the possibility that quantum effects responsible for black hole radiation do not allow for hori- zon crossing of gravitationally collapsing matter in a finite time as seen by distant observers. We consider this in the context…

General Relativity and Quantum Cosmology · Physics 2018-10-09 Valentina Baccetti , Robert B. Mann , Daniel R. Terno

The dynamics of the gravitational collapse is examined in the realm of string based formalism of D-branes that encompass General Relativity as a low energy limit. A complete analytical solution is given to the spherically symmetric collapse…

General Relativity and Quantum Cosmology · Physics 2009-08-04 R. Maier , I. Damião Soares

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 model the collapse of a spherically symmetric, constant density, pressureless shell onto a preexisting black hole. Contrary to a recent claim of Liu and Zhang (2009), we show that an observer at infinity never sees any part of the shell…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Robert F. Penna

It is logically possible that regularly evaporating black holes exist in nature. In fact, the prevalent theoretical view is that these are indeed the real objects behind the curtain in astrophysical scenarios. There are several proposals…

General Relativity and Quantum Cosmology · Physics 2015-02-10 Carlos Barceló , Raúl Carballo-Rubio , Luis J. Garay , Gil Jannes

This article presents a new model-independent constraint for bouncing black hole geometries. Using the thin shell formalism, this constraint sets a bound on the minimal allowed radius of the time-like surface of the collapsing star at the…

General Relativity and Quantum Cosmology · Physics 2020-07-22 Jibril Ben Achour , Suddhasattwa Brahma , Shinji Mukohyama , Jean-Philippe Uzan

We generalize the Oppenheimer-Snyder model of gravitational collapse by considering a broader class of static, spherically symmetric exterior spacetimes, with an interior geometry described by a Friedmann-Lemaitre-Robertson-Walker (FLRW)…

General Relativity and Quantum Cosmology · Physics 2025-12-16 H. Khodabakhshi , H. Lu , F. Shojai

In a previous work we obtained exact solutions for the proper time quantum mechanics of a thin dust shell, collapsing in a vacuum. We extend these results to the quantum collapse of a dust shell surrounding a pre-existing black hole. In…

General Relativity and Quantum Cosmology · Physics 2022-08-18 Cenalo Vaz

We study dynamical gravitational collapse in a theory with an infinite tower of higher-derivative corrections to the Einstein-Hilbert action and we show that, under very general conditions, it leads to the formation of regular black holes.…

General Relativity and Quantum Cosmology · Physics 2024-12-30 Pablo Bueno , Pablo A. Cano , Robie A. Hennigar , Ángel J. Murcia

We investigate spherically symmetric solutions to a recently proposed covariant and locally Lorentz-invariant varying speed of light theory. We find the metrics and variations in $c$ associated with the counterpart of black holes, the…

Astrophysics · Physics 2009-10-31 Joao Magueijo

The occurrence of a spacetime singularity indicates the breakdown of Einstein gravitation theory in these extreme regimes. We consider here the singularity issue and various black hole paradoxes at classical and quantum levels. It is…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Rituparno Goswami , Pankaj S. Joshi

We study the question of prompt vs. delayed collapse in the head-on collision of two neutron stars. We show that the prompt formation of a black hole is possible, contrary to a conjecture of Shapiro which claims that collapse is delayed…

General Relativity and Quantum Cosmology · Physics 2009-12-31 Mark Miller , Wai-Mo Suen , Malcolm Tobias

A simple model for an evaporating non-rotating black hole is considered, employing a global time that does not become singular at the putative horizon. The dynamics of a test particle falling radially towards the center of the black hole is…

General Relativity and Quantum Cosmology · Physics 2019-02-26 Klaus Kassner
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