20 research outputs found

    On the uniqueness of smooth, stationary black holes in vacuum

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    We prove a conditional "no hair" theorem for smooth manifolds: if EE 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 EE is locally isometric to the domain of outer communication of a Kerr space-time.Comment: Various correction
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