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Simulation of intersecting black brane solutions by a multicomponent anisotropic fluid. (English) Zbl 1064.83548

Summary: A family of spherically symmetric solutions with horizons is obtained in a model with a multicomponent anisotropic fluid (MCAF). The metric of each solution contains \((n-1)\) Ricci-flat “internal space” metrics and, for certain equations of state \((p_i=\pm\rho)\), coincides with the metric of an intersecting black brane solution in a model with antisymmetric forms. Examples of simulation of intersecting M2 and M5 black branes are considered. The post-Newtonian parameters \(\beta\) and \(\gamma\), corresponding to the 4-dimensional section of the metric, are calculated.

MSC:

83E15 Kaluza-Klein and other higher-dimensional theories
83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)