Non-existence of multiple-black-hole solutions close to Kerr-Newman

We show that a stationary asymptotically flat electro-vacuum solution of Einstein's equations that is everywhere locally "almost isometric" to a Kerr-Newman solution cannot admit more than one event horizon. Axial symmetry is not assumed. In particular this implies that the assumption of a single event horizon in Alexakis-Ionescu-Klainerman's proof of perturbative uniqueness of Kerr black holes is in fact unnecessary.


Published in:
Communications In Mathematical Physics, 325, 3, 965-996
Year:
2013
Publisher:
New York, Springer Verlag
ISSN:
0010-3616
Keywords:
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 Record created 2012-10-22, last modified 2018-03-13

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