Rigidity of stationary black holes with small angular momentum on the
horizon [PDF]
S. Alexakis, A. D. Ionescu, S. KlainermanWe 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.View original: http://arxiv.org/abs/1304.0487
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