Uniqueness of stationary, electro-vacuum black holes revisited
Piotr T. Chruściel
Abstract
In recent years there has been some progress in the understanding of the global structure of stationary black hole space-times. In this paper we review some new results concerning the structure of stationary black hole space-times. In particular we prove a corrected version of the ``black hole rigidity theorem'', and we prove a uniqueness theorem for static black holes with degenerate connected horizons. This paper is an expanded version of a lecture given at the Journées relativistes in Ascona, May 1996.
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