On analogues of black brane solutions in the model with multicomponent anisotropic fluid

Details On analogues of black brane solutions in the model with multicomponent anisotropic fluid On analogues of black brane solutions in the model with multicomponent anisotropic fluid

2010-01-22

arxiv.org/abs/1001.4053v2

Phys.Lett.B693:399-403,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, Latex, references and several equations and examples are added, typos are eliminated

Scientific paper

10.1016/j.physletb.2010.08.060

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 U^s belonging to R^{n + 1}. The solutions are governed by moduli functions H_s 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 M_2-M_5 configuration (in D =11 supergravity) corresponding to Lie algebra A_2 is presented.

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