Critical behavior in vacuum gravitational collapse in 4+1 dimensions

Details Critical behavior in vacuum gravitational collapse in 4+1 dimensions Critical behavior in vacuum gravitational collapse in 4+1 dimensions

2005-06-13

arxiv.org/abs/gr-qc/0506074v1

Phys.Rev.Lett. 95 (2005) 071102

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, 7 figures

Scientific paper

10.1103/PhysRevLett.95.071102

We show that the 4+1 dimensional vacuum Einstein equations admit gravitational waves with radial symmetry. The dynamical degrees of freedom correspond to deformations of the three-sphere orthogonal to the $(t,r)$ plane. Gravitational collapse of such waves is studied numerically and shown to exhibit discretely self-similar Type II critical behavior at the threshold of black hole formation.

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