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APS » Journals » Phys. Rev. Lett. » Volume 95 » Issue 7
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Phys. Rev. Lett. 95, 071102 (2005) [4 pages]

Critical Behavior in Vacuum Gravitational Collapse in 4+1 Dimensions

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Piotr Bizoń
M. Smoluchowski Institute of Physics, Jagellonian University, Reymonta 4, 30-059 Kraków, Poland

Tadeusz Chmaj
H. Niewodniczanski Institute of Nuclear Physics, Polish Academy of Sciences, Kraków, Poland

Bernd G. Schmidt
Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, D-14476 Golm, Germany

Received 13 June 2005; published 12 August 2005

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.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.95.071102
DOI:
10.1103/PhysRevLett.95.071102
PACS:
04.50.+h, 04.20.Dw, 04.30.Nk, 04.70.Bw
 
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