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arXiv · 0804.0280

Black hole hair in higher dimensions

Chao Cao·Yi-Xin Chen·Jian-Long Li
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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 (ω\equiv p_r/ρ=-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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Chao Cao, Yi-Xin Chen, Jian-Long Li. 2008-04-02. Black hole hair in higher dimensions. https://doi.org/10.1088/0253-6102%2F53%2F2%2F16

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