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arXiv · 1304.0487

Rigidity of stationary black holes with small angular momentum on the horizon

S. Alexakis·A. D. Ionescu·S. Klainerman
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Abstract

We prove a black hole rigidity result for slowly rotating stationary solutions of the Einstein vacuum equations. More precisely, we prove that the domain of outer communications of a regular stationary vacuum is isometric to the domain of outer communications of a Kerr solution, provided that the stationary Killing vector-field $\T$ is small on the bifurcation sphere.

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S. Alexakis, A. D. Ionescu, S. Klainerman. 2013-04-01. Rigidity of stationary black holes with small angular momentum on the horizon. https://doi.org/10.1215/00127094-2819517

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