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We perform numerical simulations of the gravitational collapse of a spherically symmetric scalar field. For those data that just barely do not form black holes we find the maximum curvature at the position of the central observer. We find a…

General Relativity and Quantum Cosmology · Physics 2010-11-19 David Garfinkle , G. Comer Duncan

In the presence of a minimal length physical objects cannot collapse to an infinite density, singular, matter point. In this note we consider the possible final stage of the gravitational collapse of "thick" matter layers. The energy…

General Relativity and Quantum Cosmology · Physics 2013-12-24 Piero Nicolini , Alessio Orlandi , Euro Spallucci

The gravitational collapse of a spherically symmetric massive core of a star in which the fluid component is interacting with a growing vacuum energy density filling a FLRW type geometry with an arbitrary curvature parameter is…

General Relativity and Quantum Cosmology · Physics 2013-03-05 E. L. D. Perico , J. A. S. Lima , M. Campos

We revisit the topic of shape evolution during the spherical collapse of an $N$-body system. Our main objective is to investigate the critical particle number below which, during a gravitational collapse, the amplification of triaxiality…

Astrophysics of Galaxies · Physics 2020-09-09 Tirawut Worrakitpoonpon

As first discovered by Choptuik, the black hole threshold in the space of initial data for general relativity shows both surprising structure and surprising simplicity. Universality, power-law scaling of the black hole mass, and scale…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Carsten Gundlach , Jose M. Martin-Garcia

We study the black hole interiors of spacetimes arising from gravitational collapse in the spherically symmetric Einstein-scalar field setting, and we investigate the precise blow-up rates of curvature and mass at the spacelike singularity…

Analysis of PDEs · Mathematics 2020-04-27 Xinliang An , Dejan Gajic

In spherical symmetry compelling numerical evidence suggests that in general relativity solutions near the threshold of black hole formation exhibit critical behavior. One aspect of this is that threshold solutions themselves are…

General Relativity and Quantum Cosmology · Physics 2021-02-17 Isabel Suárez Fernández , Rodrigo Vicente , David Hilditch

In order to study the gravitational collapse of charged matter we analyze the simple model of an self-gravitating massless scalar field coupled to the electromagnetic field in spherical symmetry. The evolution equations for the…

General Relativity and Quantum Cosmology · Physics 2014-11-07 Jose M. Torres , Miguel Alcubierre

We provide evidence for a correspondence between the formation of black holes and the stability of circular null geodesics around the collapsing perturbation. We first show that the critical threshold of the compaction function to form a…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-29 Andrea Ianniccari , Antonio J. Iovino , Alex Kehagias , Davide Perrone , Antonio Riotto

We numerically study the gravitational collapse of a massless scalar field with spherical symmetry in Einstein-aether theory, and show that apparent, spin-0 and dynamical universal horizons (dUHs) can be all formed. The spacetime and the…

General Relativity and Quantum Cosmology · Physics 2018-09-19 Madhurima Bhattacharjee , Shinji Mukohyama , Mew-Bing Wan , Anzhong Wang

In a recent paper we showed that the collapse to a black hole in one-parameter families of initial data for massless, minimally coupled scalar fields in spherically symmetric semi-classical loop quantum gravity exhibited a universal mass…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Florencia Benítez , Rodolfo Gambini , Steven L. Liebling , Jorge Pullin

In certain two-dimensional models, collapsing matter forms a black hole if and only if the incoming energy flux exceeds the Hawking radiation rate. Near the critical threshold, the black hole mass is given by a universal formula in terms of…

High Energy Physics - Theory · Physics 2009-09-17 A. Strominger , L. Thorlacius

We consider the problem of critical gravitational collapse of a scalar field in 2+1 dimensions with spherical (circular) symmetry. After surveying all the analytic, continuously self-similar solutions and considering their global structure,…

General Relativity and Quantum Cosmology · Physics 2009-07-07 Eric W. Hirschmann , Anzhong Wang , Yumei Wu

In the gravitational collapse of matter beyond spherical symmetry, gravitational waves are necessarily present. On the other hand, gravitational waves can collapse to a black hole even without matter. One might therefore wonder how the…

General Relativity and Quantum Cosmology · Physics 2022-12-07 Bernardo Porto Veronese , Carsten Gundlach

We consider the gravitational collapse of a spherically symmetric homogeneous matter distribution consisting of a Weyssenhoff fluid in the presence of a negative cosmological constant. Our aim is to investigate the effects of torsion and…

General Relativity and Quantum Cosmology · Physics 2017-04-19 Amir Hadi Ziaie , Paulo Vargas Moniz , Arash Ranjbar , Hamid Reza Sepangi

Determining the conditions under which a black hole can be produced is a long-standing and fundamental problem in general relativity. We use numerical simulations of colliding selfgravitating fluid objects to study the conditions of…

General Relativity and Quantum Cosmology · Physics 2012-12-13 Luciano Rezzolla , Kentaro Takami

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

The emergence of the $r=0$ singularity inside a spherically symmetric charged black hole, is studied numerically within the Einstein-Maxwell-real scalar model. When the scalar field reaches a critical strength, the $r=0$ singularity emerges…

General Relativity and Quantum Cosmology · Physics 2025-11-24 Caiying Shao , Junqi Guo , Yu Tian , Hongbao Zhang

We report on an old computation of propagators of massless scalar fields on an ensemble of configurations in 4D Euclidean dynamical triangulations in the collapsed (crumpled) phase. The resulting quantum average is used to construct the…

General Relativity and Quantum Cosmology · Physics 2024-12-18 Jan Smit

The discovery of a "weakly-turbulent" instability of anti-de Sitter spacetime supports the idea that confined fluctuations eventually collapse to black holes and suggests that similar phenomena might be possible in asymptotically-flat…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Hirotada Okawa , Vitor Cardoso , Paolo Pani