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Phys. Rev. Lett. 97, 131101 (2006) [4 pages]

Codimension-Two Critical Behavior in Vacuum Gravitational Collapse

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Piotr Bizoń1, Tadeusz Chmaj2,3, and Bernd G. Schmidt4
1M. Smoluchowski Institute of Physics, Jagiellonian University, Kraków, Poland
2H. Niewodniczanski Institute of Nuclear Physics, Polish Academy of Sciences, Kraków, Poland
3Cracow University of Technology, Kraków, Poland
4Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Golm, Germany

Received 22 August 2006; published 28 September 2006

We consider the critical behavior at the threshold of black-hole formation for the five-dimensional vacuum Einstein equations satisfying the cohomogeneity-two triaxial Bianchi type-IX ansatz. Exploiting a discrete symmetry present in this model we predict the existence of a codimension-two attractor. This prediction is confirmed numerically and the codimension-two attractor is identified as a discretely self-similar solution with two unstable modes.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.97.131101
DOI:
10.1103/PhysRevLett.97.131101
PACS:
04.50.+h, 04.20.Dw, 04.30.Nk, 04.70.Bw
 
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