Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1994-10-05
Class.Quant.Grav.11:L147-L152,1994
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
7 pages, Latex
Scientific paper
10.1088/0264-9381/11/12/001
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.
Chrusciel Piotr T.
Wald Robert M.
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