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Critical behavior in vacuum gravitational collapse in 4+1 dimensions

Piotr Bizoń·Tadeusz Chmaj·Bernd G. Schmidt
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Abstract

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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Piotr Bizoń, Tadeusz Chmaj, Bernd G. Schmidt. 2005-06-13. Critical behavior in vacuum gravitational collapse in 4+1 dimensions. https://doi.org/10.1103/physrevlett.95.071102

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