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arxiv: 0904.0982 · v1 · pith:5DFPVUPCnew · submitted 2009-04-06 · 🌀 gr-qc · math.AP

Uniqueness of smooth stationary black holes in vacuum: small perturbations of the Kerr spaces

classification 🌀 gr-qc math.AP
keywords kerrsolutionstationaryvacuumblackblack-holecloseeinstein
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We prove that a regular stationary black-hole solution of the Einstein vacuum equations which is "close" to some Kerr solution is, in fact, isometric to that Kerr solution.

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