Rigidity of stationary black holes with small angular momentum on the horizon
General Relativity and Quantum Cosmology
2015-01-14 v2 Analysis of PDEs
Abstract
We prove a black hole rigidity result for slowly rotating stationary solutions of the Einstein vacuum equations. More precisely, we prove that the domain of outer communications of a regular stationary vacuum is isometric to the domain of outer communications of a Kerr solution, provided that the stationary Killing vector-field is small on the bifurcation sphere.
Keywords
Cite
@article{arxiv.1304.0487,
title = {Rigidity of stationary black holes with small angular momentum on the horizon},
author = {S. Alexakis and A. D. Ionescu and S. Klainerman},
journal= {arXiv preprint arXiv:1304.0487},
year = {2015}
}
Comments
Minor corrections, submitted version