Rigidity of stationary black holes with small angular momentum on the horizon

Autor:	Alexakis, S., Ionescu, A. D., Klainerman, S.
Rok vydání:	2013
Předmět:	General Relativity and Quantum Cosmology Mathematics - Analysis of PDEs
Zdroj:	Duke Math. J. 163, no. 14 (2014), 2603-2615
Druh dokumentu:	Working Paper
DOI:	10.1215/00127094-2819517
Popis:	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 $\T$ is small on the bifurcation sphere. Comment: Minor corrections, submitted version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1304.0487 Zobrazit plný text záznamu View this record from Arxiv