Black hole hair in higher dimensions

Details Black hole hair in higher dimensions Black hole hair in higher dimensions

2008-04-02

arxiv.org/abs/0804.0280v1

Commun.Theor.Phys.53:285-290,2010

Physics

High Energy Physics

High Energy Physics - Theory

8 pages

Scientific paper

10.1088/0253-6102/53/2/16

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.

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