Journal
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 325, Issue 3, Pages 965-996Publisher
SPRINGER
DOI: 10.1007/s00220-013-1837-4
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Funding
- Commission of the European Communities [208007]
- Swiss National Science Foundation
- Princeton University, Princeton, NJ, USA
- NSF-China [11101235]
- European Research Council (ERC) [208007] Funding Source: European Research Council (ERC)
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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.
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