On vacuum gravitational collapse in nine dimensions

Abstract

We consider the vacuum gravitational collapse for cohomogeneity-two solutions of the nine dimensional Einstein equations. Using combined numerical and analytical methods we give evidence that within this model the Schwarzschild-Tangherlini black hole is asymptotically stable. In addition, we briefly discuss the critical behavior at the threshold of black hole formation.

4 pages, 4 figures

References in corpus (6)

• An Alternative to Compactification
• Quasi-Normal Modes of Stars and Black Holes
• Stability of Higher-Dimensional Schwarzschild Black Holes
• Gravitational instability in higher dimensions
• New Complete Non-compact Spin(7) Manifolds
• Critical behavior in vacuum gravitational collapse in 4+1 dimensions

Cited by in corpus (10)

• Critical phenomena in gravitational collapse
• Global Structure of Five-dimensional BPS Fuzzballs
• Electromagnetic quasinormal modes of D-dimensional black holes
• Electromagnetic quasinormal modes of D-dimensional black holes II
• Quasinormal modes of charged black holes in higher-dimensional Einstein-power-Maxwell theory
• Codimension-two critical behavior in vacuum gravitational collapse
• Gravitational Solitons and the Squashed Seven-Sphere
• Formation of Higher-dimensional Topological Black Holes
• Dynamics of Nonlinear Waves on Bounded Domains
• How to bypass Birkhoff through extra dimensions (a simple framework for investigating the gravitational collapse in vacuum)