MG12 - Talk detail
 

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Abstract

Formation of Higher-dimensional Topological Black Holes

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 Tolman-Bondi-like solutions, and we prove that these can be matched to 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 and we prove local existence and uniqueness of a radiating exterior given by the Bizon-Chmaj-Schmidt metric. In some cases, the data for this exterior can be chosen to be close to the data for the Schwarzschild solution.

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