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26 April 2024

» arxiv » gr-qc/0507088

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Dimension-Dependence of the Critical Exponent in Spherically Symmetric Gravitational Collapse
J. Bland ; B. Preston ; M. Becker ; G. Kunstatter ; V. Husain ;
Date:	20 Jul 2005
Subject:	gr-qc
Affiliation:	U. of Manitoba, U. of Winnipeg, U. of New Brunswick
Abstract:	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 range $3.5leq Dleq 14$. The critical exponent increases monotonically to an asymptotic value at large $D$ of $gammasim0.466$. The data is well fit by a simple exponential of the form: $gamma sim 0.466(1-e^{-0.408 D})$.
Source:	arXiv, gr-qc/0507088
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