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

A family of spherically symmetric solutions in the model with m-component multicomponent anisotropic fluid is considered. The metric of the solution depends on parameters qs>0, 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 qs=1 (for all s) and certain equations of state (pis =± ρs) 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 qs =1,2,... is singled out. Certain examples of "generalized simulation" of intersecting M -branes in D=11 supergravity are considered. The post-Newtonian parameters β and γ corresponding to the four-dimensional section of the metric are calculated. © 2004 American Institute of Physics.