On black hole solutions in model with anisotropic fluid
Abstract
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.
Keywords
Cite
@article{arxiv.gr-qc/0211049,
title = {On black hole solutions in model with anisotropic fluid},
author = {H. Dehnen and V. D. Ivashchuk and V. N. Melnikov},
journal= {arXiv preprint arXiv:gr-qc/0211049},
year = {2007}
}
Comments
16 pages, Latex, no figures, submit. to Class. Quantum Grav