Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-12-07
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, Latex. Several paragraphs and equations are either rewritten or eliminated. One reference is added
Scientific paper
A family of spherically symmetric solutions in the model with m-component anisotropic fluid is considered. The metrics are defined on a manifold which 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 = (U^s_i) belonging to R^{n + 1} and obeying inequalities U^s_1 = q_s > 0, s = 1,..., m. The solutions are governed by moduli functions H_s which are solutions of (master) non-linear differential equations with certain boundary conditions imposed. It is shown that for coinciding q_s = q there exists a subclass of solutions with regular horizon when q = 1, 2, ... and U^s-vectors correspond to certain semisimple Lie algebras. An extension of these solutions to block-orthogonal set of vectors U^s with natural parameters q_s coinciding inside blocks is also proposed. Generalized q-analogues of black brane solutions are suggested and q-analogue of M_2-M_5 dyonic solution in D =11 supergravity (corresponding to the Lie algebra A_2) is considered.
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