On non-existence of static vacuum black holes with degenerate components of the event horizon

@inproceedings{Chruciel2005OnNO,
  title={On non-existence of static vacuum black holes with degenerate components of the event horizon},
  author={Piotr T. Chruściel and Harvey Reall and Paul Tod},
  year={2005}
}
We present a simple proof of the non-existence of degenerate components of the event horizon in static, vacuum, regular, four-dimensional black hole spacetimes. We discuss the generalization to higher dimensions and the inclusion of a cosmological constant. The classical proof of uniqueness of static vacuum black holes [3] assumes that all components of the event horizon are non-degenerate. The argument has been extended1 to include degenerate components [5] by studying the orbit-space geometry… CONTINUE READING
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