SPECIFIC FEATURES OF THE ANALYSIS OF INITIAL AND BOUNDARY VALUE PROBLEMS FOR POLYNOMIAL SYSTEMS
Differential Equations. Том 46. 2010. С. 1511-1515
A family of spherically symmetric solutions with horizon in the model with m-component anisotropic fluid is presented. The metrics are defined on a manifold that contains a product of n-1 Ricci-flat "internal" spaces. The equation of state for any s-th component is defined by a vector Us belonging to Rn+1. The solutions are governed by moduli functions Hs obeying non-linear differential equations with certain boundary conditions imposed. A simulation of black brane solutions in the model with antisymmetric forms is considered. An example of solution imitating M2-M5 configuration (in D=11 supergravity) corresponding to Lie algebra A2 is presented. © 2010 Elsevier B.V.