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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

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

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 collapse of a massive star with low angular momentum content is commonly argued to result in the formation of a black hole without an accompanying bright transient. Our goal in this Letter is to understand the flow in and around a…

High Energy Astrophysical Phenomena · Physics 2020-10-01 Ariadna Murguia-Berthier , Aldo Batta , Agnieszka Janiuk , Enrico Ramirez-Ruiz , Ilya Mandel , Scott C. Noble , Rosa Wallace Everson

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

Motivated by a recent paper by the Potsdam numerical relativity group, we have constructed a new numerical code for hydrodynamic simulation of axisymmetric systems in full general relativity. In this code, we solve the Einstein field…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Masaru Shibata

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

Fine-tuning generic but smooth spherically-symmetric initial data for general relativity to the threshold of dynamical black hole formation creates arbitrarily large curvatures, mediated by a universal self-similar solution that acts as an…

We give an approach to studying the critical behaviour that has been observed in numerical studies of gravitational collapse. These studies suggest, among other things, that black holes initially form with infinitesimal mass. We show…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Viqar Husain , Erik A. Martinez , Dario Nunez

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

The "direct collapse" scenario has emerged as a promising evolutionary track for the formation of supermassive black holes early in the Universe. In an idealized version of such a scenario, a uniformly rotating supermassive star spinning at…

High Energy Astrophysical Phenomena · Physics 2019-07-24 Kenneth A. Dennison , Thomas W. Baumgarte , Stuart L. Shapiro

We numerically investigate the threshold of black-hole formation in the gravitational collapse of electromagnetic waves in axisymmetry. We find approximate power-law scaling $\rho_{\rm max}\sim (\eta_*-\eta)^{-2\gamma}$ of the maximum…

General Relativity and Quantum Cosmology · Physics 2019-10-30 Thomas W. Baumgarte , Carsten Gundlach , David Hilditch

We report on critical phenomena in the gravitational collapse of the electromagnetic field in axisymmetry using cylindrical coordinates. We perform detailed numerical simulations of four families of dipole and quadrupole initial data…

General Relativity and Quantum Cosmology · Physics 2023-09-28 Gray D. Reid , Matthew W. Choptuik

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

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

Following on after three previous papers discussing the formation of primordial black holes during the radiative era of the early universe, we present here a further investigation of the critical nature of the process involved, aimed at…

General Relativity and Quantum Cosmology · Physics 2013-12-11 Ilia Musco , John C. Miller

Results are presented from general relativistic numerical computations of primordial black-hole formation during the radiation-dominated era of the universe. Growing-mode perturbations are specified within the linear regime and their…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Ilia Musco , John C. Miller , Luciano Rezzolla , ;

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 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

This paper studies the whole process of gravitational collapse and accretion of a massless scalar field in asymptotically flat spacetime. Two kinds of initial configurations are considered. One is the initial data without black hole, the…

General Relativity and Quantum Cosmology · Physics 2016-04-13 Zhoujian Cao , Rong-Gen Cai , Run-Qiu Yang