Non-existence of multiple-black-hole solutions close to Kerr-Newman
General Relativity and Quantum Cosmology
2014-01-27 v4 Differential Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.1210.1379,
title = {Non-existence of multiple-black-hole solutions close to Kerr-Newman},
author = {Willie Wai-Yeung Wong and Pin Yu},
journal= {arXiv preprint arXiv:1210.1379},
year = {2014}
}
Comments
Version 2: improved presentation; no changes to the result. Version 3: corrected an oversight in the historical review. Version 4: version accepted for publication