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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 report on a new behavior found in numerical simulations of spherically symmetric gravitational collapse in self-gravitating SU(2) sigma models at intermediate gravitational coupling constants: The critical solution (between black hole…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. Thornburg , Ch. Lechner , M. Purrer , P. C. Aichelburg , S. Husa

We study the threshold of gravitational collapse in spherically symmetric spacetimes governed by the Einstein-Maxwell-Vlasov equations. We numerically construct solutions describing a collapsing distribution of charged matter that either…

General Relativity and Quantum Cosmology · Physics 2026-04-14 William E. East

We present a general framework for understanding and analyzing critical behaviour in gravitational collapse. We adopt the method of renormalization group, which has the following advantages. (1) It provides a natural explanation for various…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Takashi Hara , Tatsuhiko Koike , Satoshi Adachi

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

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

We consider Callan, Giddings, Harvey and Strominger's (CGHS) two dimensional dilatonic gravity with electromagnetic interactions. This model can be also solved classically. Among the solutions describing static black holes, there exist…

High Energy Physics - Theory · Physics 2009-10-22 Shin'ichi Nojiri , Ichiro Oda

We analyze a bifurcation phenomenon associated with critical gravitational collapse in a family of self-gravitating SU(2) $\sigma$-models. As the dimensionless coupling constant decreases, the critical solution changes from discretely…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Christiane Lechner , Jonathan Thornburg , Sascha Husa , Peter C. Aichelburg

In this paper, we prove that extremal black holes arise on the threshold of gravitational collapse. More precisely, we construct smooth one-parameter families of smooth, spherically symmetric solutions to the Einstein-Maxwell-Vlasov system…

General Relativity and Quantum Cosmology · Physics 2024-02-16 Christoph Kehle , Ryan Unger

Einstein-Gauss-Bonnet gravity (EGB) provides a natural higher dimensional and higher order curvature generalization of Einstein gravity. It contains a new, presumably microscopic, length scale that should affect short distance properties of…

General Relativity and Quantum Cosmology · Physics 2015-03-20 N. Deppe , C. D. Leonard , T. Taves , G. Kunstatter , R. B. Mann

We initiate a systematic study of continuously self-similar (CSS) gravitational dynamics in two dimensions, motivated by critical phenomena observed in higher dimensional gravitational theories. We consider CSS spacetimes admitting a…

High Energy Physics - Theory · Physics 2023-07-17 Upamanyu Moitra

We study the hydrodynamic self-similar mass collapses of general polytropic (GP) spherical clouds to central Schwarzschild black holes and void evolution with or without shocks. In order to grossly capture characteristic effects of general…

Solar and Stellar Astrophysics · Physics 2014-03-04 Biao Lian , Yu-Qing Lou

We examine the gravitational collapse of a non-linear sigma model in spherical symmetry. There exists a family of continuously self-similar solutions parameterized by the coupling constant of the theory. These solutions are calculated…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Eric W. Hirschmann , Douglas M. Eardley

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

Black hole solutions of supergravity theories form families that realizing the deep nonlinear "duality" symmetries of these theories. They form orbits under the action of these symmetry groups, with extremal (i.e. BPS) solutions at the…

High Energy Physics - Theory · Physics 2014-08-27 K. S. Stelle

We construct a one-parameter family of exact time-dependent solutions to 2+1 gravity with a negative cosmological constant and a massless minimally coupled scalar field as source. These solutions present a continuously self-similar (CSS)…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Gerard Clement , Alessandro Fabbri

The paper discusses a collapse of a self-interacting electrically charged scalar field in the decoupling limit of the dilatonic Gauss-Bonnet gravity. The emerging spacetimes were either non-singular or singular and containing black holes of…

General Relativity and Quantum Cosmology · Physics 2022-10-18 Anna Nakonieczna , Łukasz Nakonieczny

Rapidly rotating black holes are a prime arena for understanding corrections to Einstein's theory of general relativity (GR). We construct solutions for rapidly rotating black holes in dynamical Chern-Simons (dCS) gravity, a useful and…

General Relativity and Quantum Cosmology · Physics 2014-08-25 Leo C. Stein

Rapidly rotating black hole solutions in theories beyond general relativity play a key role in experimental gravity, as they allow us to compute observables in extreme spacetimes that deviate from the predictions of general relativity. Such…

General Relativity and Quantum Cosmology · Physics 2016-11-29 Robert McNees , Leo C. Stein , Nicolás Yunes

We study gravitational collapse of the axion/dilaton field in classical low energy string theory, at the threshold for black hole formation. A new critical solution is derived that is spherically symmetric and continuously self-similar. The…

General Relativity and Quantum Cosmology · Physics 2010-01-06 Douglas M. Eardley , Eric W. Hirschmann , James H. Horne
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