Black brane solutions related to non-singular Kac-Moody algebras

Details Black brane solutions related to non-singular Kac-Moody algebras Black brane solutions related to non-singular Kac-Moody algebras

2011-01-23

arxiv.org/abs/1101.4409v1

Grav.Cosmol.17:7-17,2011

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, Latex

Scientific paper

10.1134/S0202289311010129

A multidimensional gravitational model containing scalar fields and antisymmetric forms is considered. The manifold is chosen in the form M = M_0 x M_1 x ... x M_n, where M_i are Einstein spaces (i > 0). The sigma-model approach and exact solutions with intersecting composite branes (e.g., solutions with harmonic functions and black brane ones) with intersection rules related to non-singular Kac-Moody (KM) algebras (e.g. hyperbolic ones) are considered. Some examples of black brane solutions are presented, e.g., those corresponding to hyperbolic KM algebras: H_2(q,q) (q > 2), HA_2^(1) = A_2^{++} and to the Lorentzian KM algebra P_{10}.

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