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

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. © 2011 Pleiades Publishing, Ltd