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Towards a classification of static electrovacuum spacetimes containing an asymptotically flat spacelike hypersurface with compact interior

Piotr T Chrusciel

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We show that static electrovacuum black hole spacetimes containing an asymptotically flat spacelike hypersurface with compact interior and with both degenerate and non-degenerate components of the event horizon do not exist, under the supplementary hypothesis that all degenerate components of the event horizon have charges of the same sign. This extends previous uniqueness theorems of Simon and Masood-ul-Alam (where only non-degenerate horizons were allowed) and Heusler (where only degenerate horizons were allowed).


PACS

04.70.Bw Classical black holes

04.20.Ha Asymptotic structure

MSC

83C22 Einstein-Maxwell equations

83C57 Black holes

Subjects

Gravitation and cosmology

Dates

Issue 3 (March 1999)

Received 6 October 1998



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