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

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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Scientific paper

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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