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

Piotr T. Chruściel
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Abstract

We prove non-existence of static, vacuum, appropriately regular, asymptotically flat black hole space-times with degenerate (not necessarily connected) components of the event horizon. This finishes the classification of static, vacuum, asymptotically flat domains of outer communication in an appropriate class of space-times, showing that the domains of outer communication of the Schwarzschild black holes exhaust the space of appropriately regular black hole exteriors.

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Piotr T. Chruściel. 2010-06-05. The classification of static vacuum space-times containing an asymptotically flat spacelike hypersurface with compact interior. https://doi.org/10.1088/0264-9381%2F16%2F3%2F004

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