Dimension-Dependence of the Critical Exponent in Spherically Symmetric Gravitational Collapse

Details Dimension-Dependence of the Critical Exponent in Spherically Symmetric Gravitational Collapse Dimension-Dependence of the Critical Exponent in Spherically Symmetric Gravitational Collapse

2005-07-20

arxiv.org/abs/gr-qc/0507088v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, including 7 figures New version contains more data points, one extra graph and more accurate error bars. No changes t

Scientific paper

10.1088/0264-9381/22/24/009

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 $3.5\leq D\leq 14$. The critical exponent increases monotonically to an asymptotic value at large $D$ of $\gamma\sim0.466$. The data is well fit by a simple exponential of the form: $\gamma \sim 0.466(1-e^{-0.408 D})$.

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