Solutions with intersecting p-branes related to Toda chains

Abstract

Solutions in multidimensional gravity with m p-branes related to Toda-type systems (of general type) are obtained. These solutions are defined on a product of n + 1 Ricci-flat spaces M 0×M 1×⋯×M n and are governed by one harmonic function on M 0. The solutions are defined up to the solutions of Laplace and Toda-type equations and correspond to null-geodesies of the (sigma-model) target-space metric. Special solutions relating to A m, Toda chains (e.g., with m=1,2) are considered. © 2000 American Institute of Physics.