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arxiv: gr-qc/0211049 · v1 · submitted 2002-11-13 · 🌀 gr-qc · hep-th

On black hole solutions in model with anisotropic fluid

classification 🌀 gr-qc hep-th
keywords solutionsblackmetriccorrespondingmodelanisotropicbranecertain
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A family of spherically symmetric solutions in the model with 1-component anisotropic fluid is considered. The metric of the solution depends on a parameter q > 0 relating radial pressure and the density and contains n -1 parameters corresponding to Ricci-flat ``internal space'' metrics. For q = 1 and certain equations of state the metric coincides with the metric of black brane solutions in the model with antisymmetric form. A family of black hole solutions corresponding to natural numbers q = 1,2, ... is singled out. Certain examples of solutions (e.g. containing for q =1 Reissner-Nordstr\"{o}m, M2 and M5 black brane metrics) are considered. The post-Newtonian parameters beta and gamma corresponding to the 4-dimensional section of the metric are calculated.

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