On spherically symmetric solutions with horizon in model with multicomponent anisotropic fluid

Details On spherically symmetric solutions with horizon in model with multicomponent anisotropic fluid On spherically symmetric solutions with horizon in model with multicomponent anisotropic fluid

2003-10-07

arxiv.org/abs/gr-qc/0310043v1

J.Math.Phys.45:4726-4736,2004

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, no figures

Scientific paper

10.1063/1.1812357

A family of spherically symmetric solutions in the model with m-component anisotropic fluid is considered. The metric of the solution depends on parameters q_s, s = 1,...,m, relating radial pressures and the densities and contains (n -1)m parameters corresponding to Ricci-flat "internal space" metrics and obeying certain m(m-1)/2 ("orthogonality") relations. For q_s = 1 (for all s) and certian equations of state (p_i^s = \pm \rho^s) the metric coincides with the metric of intersecting black brane solution in the model with antisymmetric forms. A family of solutions with (regular) horizon corresponding to natural numbers q_s = 1,2,... is singled out. Certain examples of "generalized simulation" of intersecting M-branes in D=11 supergravity are considered. The post-Newtonian parameters \beta and \gamma corresponding to the 4-dimensional section of the metric are calculated.

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