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.) |