Piotr T Chrusciel and Robert M Wald 1994 Class. Quantum Grav. 11 L147 doi:10.1088/0264-9381/11/12/001
On the topology of stationary black holes
Piotr T Chrusciel
and Robert M Wald
LETTER TO THE EDITOR
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.
- PACS
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04.70.Bw Classical black holes
04.20.Gz Spacetime topology, causal structure, spinor structure
- MSC
- Subjects
- Dates
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Issue 12 (December 1994)
Received 21 September 1994
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On the topology of stationary black holes
Piotr T Chrusciel and Robert M Wald 1994 Class. Quantum Grav. 11 L147
-
Algebraic approach to quantum field theory on non-globally-hyperbolic spacetimes
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Gravitational wave tails and binary star systems
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Multi-black hole solutions in cosmological Einstein-Maxwell-dilaton theory
T Maki and K Shiraishi 1993 Class. Quantum Grav. 10 2171
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Asymptotically anti-de Sitter space-times
A Ashtekar and A Magnon 1984 Class. Quantum Grav. 1 L39
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