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Zbl 1208.83071
Mena, Filipe C.; Natário, José; Tod, Paul
Formation of higher-dimensional topological black holes. (English)
[J] Ann. Henri Poincaré 10, No. 7, 1359-1376 (2010). ISSN 1424-0637; ISSN 1424-0661/e

Summary: We study higher-dimensional gravitational collapse to topological black holes in two steps. First, we construct some $(n + 2)$-dimensional collapsing space-times, which include generalised Lemaître-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. Second, we consider as interiors classes of 5-dimensional collapsing solutions built on Riemannian Bianchi IX spatial metrics matched to radiating exteriors given by the Bizoń-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.

MSC 2000:: *83C57 Black holes
83E15 Higher-dimensional field theories
83C75 Space-time singularities, etc.

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Zentralblatt MATH Berlin [Germany]