On the uniqueness of smooth, stationary black holes in vacuum

Abstract

We prove a conditional "no hair" theorem for smooth manifolds: if $E$ is the domain of outer communication of a smooth, regular, stationary Einstein vacuum, and if a technical condition relating the Ernst potential and Killing scalar is satisfied on the bifurcate sphere, then $E$ is locally isometric to the domain of outer communication of a Kerr space-time.

Various corrections

References in corpus (1)

• Uniqueness results for ill posed characteristic problems in curved space-times

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