Black hole hair in higher dimensions
High Energy Physics - Theory
2010-02-18 v1
Abstract
We study the property of matter in equilibrium with a static, spherically symmetric black hole in D-dimensional spacetime. It requires this kind of matter has an equation of state (\omega\equiv p_r/\rho=-1/(1+2kn), k,n\in \mathbb{N}), which seems to be independent of D. However, when we associate this with specific models, some interesting limits on space could be found: (i)(D=2+2kn) while the black hole is surrounded by cosmic strings; (ii)the black hole can be surrounded by linear dilaton field only in 4-dimensional spacetime. In both cases, D=4 is special.
Cite
@article{arxiv.0804.0280,
title = {Black hole hair in higher dimensions},
author = {Chao Cao and Yi-Xin Chen and Jian-Long Li},
journal= {arXiv preprint arXiv:0804.0280},
year = {2010}
}
Comments
8 pages