Towards a classification of static electro-vacuum space-times containing an asymptotically flat spacelike hypersurface with compact interior

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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Reverted to original v1; v2 was a result of a manipulation error, and was meant to be an update to gr-qc/9809088. The problems

Scientific paper

10.1088/0264-9381/16/3/005

We show that static electro-vacuum black hole space-times 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).

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