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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

We investigate the mechanics of stationary axisymmetric non-Killing horizons, which emerge in spacetimes that do not enjoy the symmetry known as circularity -- as is commonly the case for rotating black holes beyond general relativity.…

General Relativity and Quantum Cosmology · Physics 2025-11-06 Francesco Del Porro , Jacopo Mazza

The celebrated treatment of continued gravitational collapse by Oppenheimer and Snyder is revisited and emended from some inherent flaws. The star contracts itself into a material point, not into a black hole.

General Physics · Physics 2007-05-23 A. Loinger , T. Marsico

Gravitational collapse is still poorly understood in the context of $f(R)$ theories of gravity, since the Oppenheimer-Snyder model is incompatible with their junction conditions. In this work, we will present a systematic approach to the…

General Relativity and Quantum Cosmology · Physics 2022-05-02 Adrián Casado-Turrión , Álvaro de la Cruz-Dombriz , Antonio Dobado

We study the gravitational collapse of a spherically symmetric anisotropic relativistic star within Einstein theory of gravity making use of one of our recently developed collapsing stellar models [{\it Astrophys. Space Sci.} {\bf361} 99…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Shyam Das , Bikash Chandra Paul , Ranjan Sharma

We consider marginally trapped surfaces in a spherically symmetric spacetime evolving due to the presence of a perfect fluid in D-dimensions and look at the various definitions of the surface gravity for these marginally trapped surfaces.…

General Relativity and Quantum Cosmology · Physics 2023-04-13 Anamika Avinash Pathak , Konka Raviteja , Swastik Bhattacharya , Sashideep Gutti

We analyze the evolution of a homogenous and pressureless ball of dust (or "star") in ghost-free massive gravity on de Sitter spacetime. We find that gravitational collapse does not take place for all parameters of the massive gravity…

High Energy Physics - Theory · Physics 2021-09-23 Roman Berens , Luke Krauth , Rachel A. Rosen

We consider a freely falling holographic screen for the Schwarzschild and Reissner-Nordstr\"om black holes and evaluate the entropic force \`a la Verlinde. When the screen crosses the event horizon, the temperature of the screen agrees to…

General Relativity and Quantum Cosmology · Physics 2010-11-03 Ee Chang-Young , Myungseok Eune , Kyoungtae Kimm , Daeho Lee

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

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

In calculations of gravitational collapse to form black holes, trapping horizons (foliated by marginally trapped surfaces) make their first appearance either within the collapsing matter or where it joins on to a vacuum exterior. Those…

General Relativity and Quantum Cosmology · Physics 2017-06-19 Alexis Helou , Ilia Musco , John C. Miller

The gravitational collapse of a spherical distribution, in a class of f(R) theories of gravity, where f(R) is power function of R, is discussed. The spacetime is assumed to admit a homothetic Killing vector. In the collapsing modes, some of…

General Relativity and Quantum Cosmology · Physics 2016-07-28 Soumya Chakrabarti , Narayan Banerjee

The gravitational collapse of massive stars serves to manifest the most severe deviations of general relativity with respect to Newtonian gravity: the formation of horizons and spacetime singularities. Both features have proven to be…

General Relativity and Quantum Cosmology · Physics 2016-08-15 Carlos Barceló , Raúl Carballo-Rubio , Luis J. Garay

We work with the notion of apparent/trapping horizons for spherically symmetric, dynamical spacetimes: these are quasi-locally defined, simply based on the behaviour of congruence of light rays. We show that the sign of the dynamical…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Alexis Helou

We consider a scenario of the gravitational collapse of the Oppenheimer-Snyder dust cloud with spatially constant matter density. Given a closed two-surface within the star, three versions of the quasi-local energy are investigated. We show…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Xiaokai He , Naqing Xie

In order to study the type of collapse, mentioned in the title, we introduce a physically meaningful object, called the horizon function. It directly enters the expressions for many of the stellar characteristics. The main junction…

General Relativity and Quantum Cosmology · Physics 2016-03-23 B. V. Ivanov

This article proposes a generalization of the Oppenheimer-Snyder model which describes a bouncing compact object. The corrections responsible for the bounce are parameterized in a general way so as to remain agnostic about the specific…

General Relativity and Quantum Cosmology · Physics 2020-04-28 Jibril Ben Achour , Suddhasattwa Brahma , Jean-Philippe Uzan

Using minimalist assumptions we develop a natural functional decomposition for the spacetime metric, and explicit tractable formulae for the surface gravities, in arbitrary stationary circular (PT symmetric) axisymmetric spacetimes. We…

General Relativity and Quantum Cosmology · Physics 2023-05-30 Joshua Baines , Matt Visser

The requirement that a trapped spacetime domain forms in finite time for distant observers is logically possible and sometimes unavoidable, but its consequences are not yet fully understood. In spherical symmetry, the characterization of…

General Relativity and Quantum Cosmology · Physics 2025-11-07 Daniel R. Terno

The instability against emission of massless particles by the trapping horizon of an evolving black hole is analyzed with the use of the Hamilton-Jacobi method. The method automatically selects one special expression for the surface gravity…

High Energy Physics - Theory · Physics 2008-11-26 R. Di Criscienzo , M. Nadalini , L. Vanzo , S. Zerbini , G. Zoccatelli