English

Codimension-two critical behavior in vacuum gravitational collapse

General Relativity and Quantum Cosmology 2013-11-18 v2 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.gr-qc/0608102,
  title  = {Codimension-two critical behavior in vacuum gravitational collapse},
  author = {Piotr Bizoń and Tadeusz Chmaj and Bernd G. Schmidt},
  journal= {arXiv preprint arXiv:gr-qc/0608102},
  year   = {2013}
}

Comments

4 pages, 5 figures, typos corrected

R2 v1 2026-07-22T12:46:04.668Z