A simple proof of the perturbative uniqueness of the Kerr solution

Details A simple proof of the perturbative uniqueness of the Kerr solution A simple proof of the perturbative uniqueness of the Kerr solution

Nov 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989gregr..21.1171b&link_type=abstract

General Relativity and Gravitation, Volume 21, Issue 11, pp.1171-1175

Physics

1

Scientific paper

We present a mathematically simple and coordinate-free proof, based on
the GHP spin-coefficient formalism, that a small stationary perturbation
of a Kerr solution results in a new Kerr solution. Thus, under
physically reasonable assumptions, we give a new and simple proof that a
stationary black hole is given by a Kerr solution.

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