On the topology of stationary black holes

Abstract

We prove that the domain of outer communication of a stationary, globally hyperbolic spacetime satisfying the null energy condition must be simply connected. Under suitable additional hypotheses, this implies, in particular, that each connected component of a cross-section of the event horizon of a stationary black hole must have spherical topology.

7 pages, Latex

References in corpus (4)

• Topological Censorship
• Topology of Event Horizons and Topological Censorship
• Maximal Hypersurfaces in Asymptotically Stationary Space-Times
• On completeness of orbits of Killing vector fields

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