Uniqueness of static black-holes without analyticity

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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6 pages, 1 figure

Scientific paper

We show that the hypothesis of analyticity in the uniqueness theory of
vacuum, or electrovacuum, static black holes is not needed. More generally, we
show that prehorizons covering a closed set cannot occur in well-behaved
domains of outer communications.

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