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

V.D. Ivashchuk and V.N. Melnikov1

Abstract

A multidimensional gravitational model containing scalar fields and antisymmetric forms is considered. The manifold is chosen in the form M = M0 ×M1 ××Mn, where Mi are Einstein spaces (i 1). 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: H2(q, q) (q > 2), HA2(1) = A2++ and to the Lorentzian KM algebra P10.

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