Uniqueness Theorem for Static Black Hole Solutions of sigma-models in Higher Dimensions
High Energy Physics - Theory
2009-11-07 v1 General Relativity and Quantum Cosmology
Abstract
We prove the uniqueness theorem for self-gravitating non-linear sigma-models in higher dimensional spacetime. Applying the positive mass theorem we show that Schwarzschild-Tagherlini spacetime is the only maximally extended, static asymptotically flat solution with non-rotating regular event horizon with a constant mapping.
Keywords
Cite
@article{arxiv.hep-th/0207187,
title = {Uniqueness Theorem for Static Black Hole Solutions of sigma-models in Higher Dimensions},
author = {Marek Rogatko},
journal= {arXiv preprint arXiv:hep-th/0207187},
year = {2009}
}
Comments
5 peges, Revtex, to be published in Class.Quantum Grav