Hawking's local rigidity theorem without analyticity
General Relativity and Quantum Cosmology
2009-02-10 v1 Analysis of PDEs
Abstract
We prove the existence of a Hawking Killing vector-field in a full neighborhood of a local, regular, bifurcate, non-expanding horizon embedded in a smooth vacuum Einstein space-time. We do not assume analyticity of the space-time. This result will be applied in a second paper to prove a perturbative version of the uniqueness of smooth, stationary black holes in vacuum.
Keywords
Cite
@article{arxiv.0902.1173,
title = {Hawking's local rigidity theorem without analyticity},
author = {S. Alexakis and A. D. Ionescu and S. Klainerman},
journal= {arXiv preprint arXiv:0902.1173},
year = {2009}
}