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arXiv · 0711.0040

On the uniqueness of smooth, stationary black holes in vacuum

Alexandru D. Ionescu·Sergiu Klainerman
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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.

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Alexandru D. Ionescu, Sergiu Klainerman. 2008-07-26. On the uniqueness of smooth, stationary black holes in vacuum. https://doi.org/10.1007/s00222-008-0146-6

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