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Journal Article

Critical behavior in vacuum gravitational collapse in 4+1 dimensions

MPS-Authors

Schmidt,  Bernd G.
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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0506074.pdf
(Preprint), 317KB

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Citation

Bizon, P., Chmaj, T., & Schmidt, B. G. (2005). Critical behavior in vacuum gravitational collapse in 4+1 dimensions. Physical Review Letters, 95: 071102.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4F4B-B
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.