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We present results from the first fully relativistic simulations of the critical collapse of rotating radiation fluids. We observe critical scaling both in subcritical evolutions, in which case the fluid disperses to infinity and leaves…

General Relativity and Quantum Cosmology · Physics 2016-06-14 Thomas W. Baumgarte , Carsten Gundlach

An exact four-dimensional black hole solution of gravity with a minimally coupled self-interacting scalar field is reported. The event horizon is a surface of negative constant curvature enclosing the curvature singularity at the origin,…

High Energy Physics - Theory · Physics 2009-11-10 Cristian Martinez , Ricardo Troncoso , Jorge Zanelli

In the quest of the critical solution for scalar field collapse in 2+1 gravity with a negative cosmological constant, we present a one parameter family of solutions with continuous self similar (CSS) behaviour near the central singularity.…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Gerard Clement , Alessandro Fabbri

We study critical phenomena in the collapse of rotating ultrarelativistic perfect fluids, in which the pressure $P$ is related to the total energy density $\rho$ by $P=\kappa\rho$, with $\kappa$ a constant. We generalize earlier results for…

General Relativity and Quantum Cosmology · Physics 2018-03-14 Carsten Gundlach , Thomas W. Baumgarte

We present the accretion of a phantom scalar field into a black hole for various scalar field potentials in the full non-linear regime. Our results are based on the use of numerical methods and show that for all the cases studied the black…

Cosmology and Nongalactic Astrophysics · Physics 2012-07-17 F. D. Lora-Clavijo , J. A. Gonzalez , F. S. Guzman

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 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

For the formation of a black hole in the gravitational collapse of a massless scalar field, we calculate a critical exponent that governs the black hole angular momentum for slightly non-spherical initial data near the black hole threshold.…

General Relativity and Quantum Cosmology · Physics 2011-04-20 D. Garfinkle , C. Gundlach , J. M. Martin-Garcia

The general metric for N-dimensional spherically symmetric and conformally flat spacetimes is given, and all the homogeneous and isotropic solutions for a perfect fluid with the equation of state $p = \alpha \rho$ are found. These solutions…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. F. Villas da Rocha , Anzhong Wang

We carry out numerical simulations of the gravitational collapse of a rotating perfect fluid with the ultrarelativistic equation of state $P=\kappa\rho$, in axisymmetry in $2+1$ spacetime dimensions with $\Lambda<0$. We show that for…

General Relativity and Quantum Cosmology · Physics 2022-03-16 Patrick Bourg , Carsten Gundlach

An analytical model that represents the collapse of a massless scalar wave packet with continuous self-similarity is constructed, and critical phenomena are found. In the supercritical case, the mass of black holes is finite and has the…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Anzhong Wang , Henrique P. de Oliveira

I construct a spherically symmetric solution for a massless real scalar field minimally coupled to general relativity which is discretely self-similar (DSS) and regular. This solution coincides with the intermediate attractor found by…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Carsten Gundlach

The critical collapse of a scalar field is a threshold solution of black hole formation, in which a naked singularity arises. We study here the curvature strength of this singularity using a numerical ansatz. The behavior of the Jacobi…

General Relativity and Quantum Cosmology · Physics 2020-11-16 Jun-Qi Guo , Lin Zhang , Yuewen Chen , Pankaj S. Joshi , Hongsheng Zhang

This article reviews classical and quantum aspects of critical phenomena in gravitational collapse. We pay special attention to the origin of the scaling law for black hole mass, and to phase transitions in which black hole formation turns…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Patrick R Brady , Mike J Cai

We observe critical phenomena in spherical collapse of radiation fluid. A sequence of spacetimes $\cal{S}[\eta]$ is numerically computed, containing models ($\eta\ll 1$) that adiabatically disperse and models ($\eta\gg 1$) that form a black…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Charles R. Evans , Jason S. Coleman

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

In recent years it has become apparent that intriguing phenomenology exists at the threshold of black hole formation in a large class of general relativistic collapse models. This phenomenology, which includes scaling, self-similarity and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. W. Choptuik

We carry out numerical simulations of the collapse of a complex rotating scalar field of the form $\Psi(t,r,\theta)=e^{im\theta}\Phi(t,r)$, giving rise to an axisymmetric metric, in 2+1 spacetime dimensions with cosmological constant…

General Relativity and Quantum Cosmology · Physics 2017-04-12 Joanna Jałmużna , 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

In this paper we investigate the critical collapse of an ultrarelativistic perfect fluid with the equation of state $P=(\Gamma-1)\rho$ in the limit of $\Gamma\to 1$. We calculate the limiting continuously self similar (CSS) solution and the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Martin Snajdr