Black hole hair in higher dimensions
نویسندگان
چکیده
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 ≡ pr/ρ = −1/(1 + 2kn), k, n ∈ 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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