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On analyticity of static vacuum metrics at non-degenerate horizons

Piotr T. Chrusciel
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Abstract

We show that static metrics solving vacuum Einstein equations (possibly with a cosmological constant) are one-sided analytic at non-degenerate Killing horizons. We further prove analyticity in a two-sided neighborhood of "bifurcate horizons". It is a pleasure to dedicate this work to Prof. Staruszkiewicz, on the occasion of his 65th birthday.

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Piotr T. Chrusciel. 2004-09-21. On analyticity of static vacuum metrics at non-degenerate horizons. https://arxiv.org/abs/gr-qc/0402087

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