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Codimension-two critical behavior in vacuum gravitational collapse

Piotr Bizoń·Tadeusz Chmaj·Bernd G. Schmidt
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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.

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Piotr Bizoń, Tadeusz Chmaj, Bernd G. Schmidt. 2007-01-30. Codimension-two critical behavior in vacuum gravitational collapse. https://doi.org/10.1103/physrevlett.97.131101

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