Uniqueness theorem for stationary black ring solution of $\sigma$-models in five dimensions
High Energy Physics - Theory
2008-11-26 v1 General Relativity and Quantum Cosmology
Abstract
We study axisymmetric self-gravitating non-linear -model in five-dimensional spacetime admitting three commutating Killing vector fields. We show that the only asymptotically flat black ring solution with a regular event horizon is the black ring characterized by mass and two angular momenta with constant mapping.
Keywords
Cite
@article{arxiv.0805.1982,
title = {Uniqueness theorem for stationary black ring solution of $\sigma$-models in five dimensions},
author = {Marek Rogatko},
journal= {arXiv preprint arXiv:0805.1982},
year = {2008}
}
Comments
6 pages RevTex, to be published in Phys.Rev.D15