Publication Date:
2011-02-24
Description:
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 \mathbb R 4 , S 2 × S 2 ’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. Content Type Journal Article Pages 1-23 DOI 10.1007/s00023-011-0079-2 Authors Stefan Hollands, School of Mathematics, Cardiff University, Cardiff, UK Jan Holland, School of Mathematics, Cardiff University, Cardiff, UK Akihiro Ishibashi, KEK Theory Center, Institute of Particle and Nuclear Studies, High Energy Accelerator Research Organization (KEK), Tsukuba, Japan Journal Annales Henri Poincare Online ISSN 1424-0661 Print ISSN 1424-0637
Print ISSN:
1424-0637
Electronic ISSN:
1424-0661
Topics:
Mathematics
,
Physics
