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

Piotr T. Chrusciel·Harvey S. Reall·Paul Tod
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Abstract

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 generalisation to higher dimensions and the inclusion of a cosmological constant.

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Piotr T. Chrusciel, Harvey S. Reall, Paul Tod. 2005-12-06. On non-existence of static vacuum black holes with degenerate components of the event horizon. https://doi.org/10.1088/0264-9381%2F23%2F2%2F018

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