On the topology of stationary black holes

Preprint

5 October 1994

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.gr-qc/9410004

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.

Keywords

STATIONARY BLACK HOLES
ENERGY CONDITION
SIMPLY CONNECTED
COMMUNICATION
TOPOLOGY

All Related Versions

Version 1, 1994-10-05, ArXiv
Published version: Classical and Quantum Gravity, 11 (12), L147.

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