Non-Existence of Multiple-Black-Hole Solutions Close to Kerr-Newman

作者:Wong Willie Wai Yeung*; Yu Pin
来源:Communications in Mathematical Physics, 2014, 325(3): 965-996.
DOI:10.1007/s00220-013-1837-4

摘要

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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