Formation of Higher-dimensional Topological Black Holes

Details Formation of Higher-dimensional Topological Black Holes Formation of Higher-dimensional Topological Black Holes

2009-06-17

arxiv.org/abs/0906.3216v2

Annales Henri Poincare 10:1359-1376,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1007/s00023-009-0013-z

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.

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