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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 present results from a numerical study of spherically-symmetric collapse of a self-gravitating, SU(2) gauge field. Two distinct critical solutions are observed at the threshold of black hole formation. In one case the critical solution…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Matthew W. Choptuik , Tadeusz Chmaj , Piotr Bizon

We study critical behavior in gravitational collapse of a general spherically symmetric Yang-Mills field coupled to the Einstein equations. Unlike the magnetic ansatz used in previous numerical work, the general Yang-Mills connection has…

General Relativity and Quantum Cosmology · Physics 2018-03-21 Maciej Maliborski , Oliver Rinne

We study critical behavior in the collapse of massive spherically symmetric scalar fields. We observe two distinct types of phase transition at the threshold of black hole formation. Type II phase transitions occur when the radial extent…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Patrick R. Brady , Chris M. Chambers , Sergio M. C. V. Goncalves

Studies of black hole formation from gravitational collapse have revealed interesting non-linear phenomena at the threshold of black hole formation. In particular, in 1993 Choptuik studied the collapse of a massless scalar field with…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Anzhong Wang

We investigate critical phenomena during the gravitational collapse of a massive scalar field under two distinct semi-classical loop quantum gravity (LQG) approaches within spherical symmetry. Numerical simulations reveal that the massive…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Li-Jie Xin , Xiangdong Zhang

I study type II critical collapse in the spherically symmetric gravitating magnetic monopole system. This is an Einstein-Yang-Mills-Higgs system with two matter fields: a field parametrizing the scalar field gauged under SU(2) and a field…

General Relativity and Quantum Cosmology · Physics 2019-05-29 Ben Kain

We investigate the general relativistic collapse of spherically symmetric, massless spin-1/2 fields at the threshold of black hole formation. A spherically symmetric system is constructed from two spin-1/2 fields by forming a spin singlet…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Jason F. Ventrella , Matthew W. Choptuik

We investigate the dynamics of black hole critical collapse in the limit of a large number of spacetime dimensions, $D$. In particular, we study the spherical gravitational collapse of a massless, scale-invariant scalar field with…

High Energy Physics - Theory · Physics 2025-11-10 Craig R. Clark , Guilherme L. Pimentel

We examine a one-parameter family of analytical solutions representing spherically symmetric collapse of a nonlinear massless scalar field with self-interaction in an asymptotically flat spacetime. The time evolution exhibits a type of…

General Relativity and Quantum Cosmology · Physics 2015-03-05 Xuefeng Zhang , H. Lu

We report on the existence and phenomenology of type II critical collapse within the one-parameter family of SU(2) $\sigma$-models coupled to gravity. Numerical investigations in spherical symmetry show discretely self-similar (DSS)…

General Relativity and Quantum Cosmology · Physics 2016-08-15 Sascha Husa , Christiane Lechner , Michael Pürrer , Jonathan Thornburg , Peter C. Aichelburg

We study continuously self-similar solutions of four-dimensional Einstein-Maxwell-dilaton theory, with an arbitrary dilaton coupling. Self-similarity is an emergent symmetry of gravitational collapse near the threshold of black hole…

General Relativity and Quantum Cosmology · Physics 2018-12-07 Jorge V. Rocha , Marija Tomašević

In this paper, we present the results on the gravitational collapse of charged massless scalar field in asymptotically flat spacetime with a perfectly reflecting wall. Differing from previous works, we study the system in the double null…

General Relativity and Quantum Cosmology · Physics 2016-02-02 Rong-Gen Cai , Run-Qiu Yang

Frequently in Physics, insights and conclusions can be drawn from simple, idealized models. The discovery of critical behavior in the gravitational collapse of a massless scalar field leads to the simulation of binary black holes, from its…

General Relativity and Quantum Cosmology · Physics 2017-11-07 W. Barreto , H. P. de Oliveira , B. Rodriguez-Mueller

We extend the investigation of the gravitational collapse of a spherically symmetric Yang-Mills field in Einstein gravity and show that, within the black hole regime, a new kind of critical behavior arises which separates black holes formed…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Matthew W. Choptuik , Eric W. Hirschmann , Robert L. Marsa

We summarize results from a study of spherically symmetric collapse of a {\it charged} (complex) massless scalar-field \cite{Hod}. We present an analytic argument which conjecture the generalization of the mass-scaling relation and echoing…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Shahar Hod , Tsvi Piran

Four-dimensional cylindrically symmetric spacetimes with homothetic self-similarity are studied in the context of Einstein's Theory of Gravity, and a class of exact solutions to the Einstein-massless scalar field equations is found. Their…

General Relativity and Quantum Cosmology · Physics 2009-07-07 Anzhong Wang

The gravitational collapse of a complex scalar field in the harmonic map is modeled in spherical symmetry. Previous work has shown that a change of stability of the attracting critical solution occurs in parameter space from the discretely…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Steven L. Liebling

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

In general relativity black holes can be formed from regular initial data that do not contain a black hole already. The space of regular initial data for general relativity therefore splits naturally into two halves: data that form a black…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Carsten Gundlach
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