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

Piotr T. Chrusciel·Paul Tod
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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.

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Piotr T. Chrusciel, Paul Tod. 2007-01-29. The classification of static electro--vacuum space--times containing an asymptotically flat spacelike hypersurface with compact interior. https://doi.org/10.1007/s00220-007-0191-9

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