Matter ouside a Static Higher-dimensional Black Hole

Abstract

We considered matter fields composed of a perfect fluid in the static higher-dimensional spherically symmetric asymptotically flat black hole spacetime. The proof of the nonexistence of perfect fluid matter in such a background was provided under the auxiliary condition, which can be interpreted as a relation connecting the stellar mass and the black hole mass in question.

14 pages, RevTex, to be published in Phys.Rev.D15

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Cited by in corpus (6)

• Uniqueness of photon sphere for Einstein-Maxwell-dilaton black holes with arbitrary coupling constant
• Uniqueness of charged static asymptotically flat black holes in dynamical Chern-Simons gravity
• Abelian-Higgs hair on stationary axisymmetric black hole in Einstein-Maxwell-axion-dilaton gravity
• Uniqueness of dilaton Melvin-Schwarzschild solution
• Vacuum-dual static perfect fluid obeying $p=-(n-3)\rho /(n+1)$ in $n(\ge 4)$ dimensions
• Static black holes and strictly static spacetimes in Einstein-Gauss-Bonnet gravity with gauge field