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On analyticity of static vacuum metrics at non-degenerate horizons

2004/02/29 by Piotr T. Chrusciel
Physics and Astronomy · #gr-qc

paper · pdf

published as Acta Phys.Polon. B36 (2005) 17-26 · latex2e, 9 pages in A4, minor wording improvements

arxiv created 2004/09/21 · arxiv updated 2009/12/01

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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