Formation of Higher-dimensional Topological Black Holes

Abstract

We study higher dimensional gravitational collapse to topological black holes in two steps. Firstly, we construct some (n+2)-dimensional collapsing space-times, which include generalised Lemaitre-Tolman-Bondi-like solutions, and we prove that these can be matched to static $\Lambda$-vacuum exterior space-times. We then investigate the global properties of the matched solutions which, besides black holes, may include the existence of naked singularities and wormholes. Secondly, we consider as interiors classes of 5-dimensional collapsing solutions built on Riemannian Bianchi IX spatial metrics matched to radiating exteriors given by the Bizon-Chmaj-Schmidt metric. In some cases, the data at the boundary for the exterior can be chosen to be close to the data for the Schwarzschild solution.

16 pages, 3 figures; v2: typos corrected, matches final published version

References in corpus (3)

• Critical behavior in vacuum gravitational collapse in 4+1 dimensions
• Cosmic Censorship in Higher Dimensions
• On vacuum gravitational collapse in nine dimensions

Cited by in corpus (5)

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• Brane Isotropisation in Extra-Dimensional Tolman-Bondi Universe