On black hole solutions in model with anisotropic fluid

Details On black hole solutions in model with anisotropic fluid On black hole solutions in model with anisotropic fluid

2002-11-13

arxiv.org/abs/gr-qc/0211049v1

Grav.Cosmol. 9 (2003) 153-158

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, Latex, no figures, submit. to Class. Quantum Grav

Scientific paper

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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