, Volume 271, Issue 3, pp 577-589
Date: 22 Feb 2007

The Classification of Static Electro–Vacuum Space–Times Containing an Asymptotically Flat Spacelike Hypersurface with Compact Interior

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Abstract

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. This is done by a careful study of the near-horizon geometry of degenerate horizons, which allows us to eliminate the last restriction of the static electro-vacuum no-hair theory.

Communicated by G.W. Gibbons
Partially supported by a Polish Research Committee grant 2 P03B 073 24.