Further Restrictions on the Topology of Stationary Black Holes in Five Dimensions

Hollands, Stefan, Holland, Jan W. and Ishibashi, Akihiro 2011. Further Restrictions on the Topology of Stationary Black Holes in Five Dimensions. Annales Henri Poincaré 12 (2) , pp. 279-301. 10.1007/s00023-011-0079-2

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Abstract

We place further restriction on the possible topology of stationary asymptotically flat vacuum black holes in five spacetime dimensions. We prove that the horizon manifold can be either a connected sum of Lens spaces and “handles” S 1 × S 2, or the quotient of S 3 by certain finite groups of isometries (with no “handles”). The resulting horizon topologies include Prism manifolds and quotients of the Poincare homology sphere. We also show that the topology of the domain of outer communication is a cartesian product of the time direction with a finite connected sum of R4S2S2 ’s and CP 2’s, minus the black hole itself. We do not assume the existence of any Killing vector beside the asymptotically time like one required by definition for stationarity.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics Q Science > QB Astronomy
Publisher:	Springer
ISSN:	1424-0637
Last Modified:	04 Feb 2018 01:07
URI:	https://orca.cardiff.ac.uk/id/eprint/12149

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