Codimension-two critical behavior in vacuum gravitational collapse

Bizon, Piotr; Chmaj, Tadeusz; Schmidt, Bernd G.

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Codimension-two critical behavior in vacuum gravitational collapse

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

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Bizon, P., Chmaj, T., & Schmidt, B. G. (2006). Codimension-two critical behavior in vacuum gravitational collapse. Physical Review Letters, 97: 131101.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4C6A-0

Abstract

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 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.