Uniqueness theorem for stationary black hole solutions of \sigma-models in five dimensions
High Energy Physics - Theory
2010-11-19 v1 General Relativity and Quantum Cosmology
Abstract
We prove the uniqueness theorem for stationary self-gravitating non-linear \sigma-models in five-dimensional spacetime. We show that the Myers-Perry vacuum Kerr spacetime is the only maximally extended, stationary, axisymmetric, asymptotically flat solution having the regular rotating event horizon with constant mapping.
Keywords
Cite
@article{arxiv.hep-th/0410059,
title = {Uniqueness theorem for stationary black hole solutions of \sigma-models in five dimensions},
author = {Marek Rogatko},
journal= {arXiv preprint arXiv:hep-th/0410059},
year = {2010}
}
Comments
6 pages, Revtex, to be published in Phys.Rev.D15