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

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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latex2e, 9 pages in A4

Scientific paper

10.1088/0264-9381/23/2/018

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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