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We continue our study of the gravitational collapse of spherically symmetric skyrmions. For certain families of initial data, we find the discretely self-similar Type II critical transition characterized by the mass scaling exponent $\gamma…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Piotr Bizon , Tadeusz Chmaj , Zbislaw Tabor

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

We investigate non-spherically symmetric, scalar field collapse of a family of initial data consisting of a spherically symmetric profile with a deformation proportional to the real part of the spherical harmonic $Y_{21}(\theta,\varphi)$.…

General Relativity and Quantum Cosmology · Physics 2014-03-31 James Healy , Pablo Laguna

This paper studies gravitational collapse of a complex scalar field at the threshold for black hole formation, assuming that the collapse is spherically symmetric and continuously self-similar. A new solution of the coupled Einstein-scalar…

General Relativity and Quantum Cosmology · Physics 2016-08-24 Eric W. Hirschmann , Douglas M. Eardley

We study the critical behaviour of spherically symmetric scalar field collapse to black holes in spacetime dimensions other than four. We obtain reliable values for the scaling exponent in the supercritical region for dimensions in the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 J. Bland , B. Preston , M. Becker , G. Kunstatter , V. Husain

We extend Choptuik's scaling phenomenon found in general relativistic critical gravitational collapse of a massless scalar field to higher dimensions. We find that in the range 4 <= D <= 11 the behavior is qualitatively similar to that…

High Energy Physics - Theory · Physics 2009-11-11 Evgeny Sorkin , Yonatan Oren

Solutions to the Einstein equations near the threshold of black hole formation exhibit remarkable behavior known as critical phenomena gravitational collapse. In this work we perform characteristic evolution in compactified Bondi…

General Relativity and Quantum Cosmology · Physics 2025-10-30 Rita P. Santos , Krinio Marouda , 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

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

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 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 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 perform numerical simulations of the critical gravitational collapse of a spherically symmetric scalar field in 6 dimensions. The critical solution has discrete self-similarity. We find the critical exponent \gamma and the…

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

We study the spherically symmetric collapse of the axion/dilaton system coupled to gravity. We show numerically that the critical solution at the threshold of black hole formation is continuously self-similar. Numerical and analytical…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Rufus S. Hamade , James H. Horne , John M. Stewart

Numerical studies of the gravitational collapse of a stiff (P=rho) fluid have found the now familiar critical phenomena, namely scaling of the black hole mass with a critical exponent and continuous self-similarity at the threshold of black…

General Relativity and Quantum Cosmology · Physics 2022-05-04 Patrick R. Brady , Matthew W. Choptuik , Carsten Gundlach , David W. Neilsen

Consider any 1-parameter family of initial data such that data with parameter value p > p* form black holes, and data with p < p* do not. As p -> p* from above ("critical collapse"), the black hole mass scales as M ~ (p-p*)^gamma, where the…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Carsten Gundlach , Jose M. Martin-Garcia

We study the critical collapse of a massless scalar field with angular momentum in spherical symmetry. In order to mimic the effects of angular momentum we perform a sum of the stress-energy tensors for all the scalar fields with the same…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ignacio Olabarrieta , Jason F. Ventrella , Matthew W. Choptuik , W. G. Unruh

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

The higher dimensional spherical symmetric scalar field collapse problem is studied in the light of the critical behavior in black hole formation. To make the analysis tractable, the self similarity is also imposed. By giving a new view to…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Jiro Soda , Kouichirou Hirata

This paper continues a study on Choptuik scaling in gravitational collapse of a complex scalar field at the threshold for black hole formation. We perform a linear perturbation analysis of the previously derived complex critical solution,…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Eric W. Hirschmann , Douglas M. Eardley
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