Solutions with intersecting p-branes related to Toda chains

Abstract

Solutions in multidimensional gravity with m p-branes related to Toda-like systems (of general type) are obtained. These solutions are defined on a product of n+1 Ricci-flat spaces M0 x M1 x...x Mn and are governed by one harmonic function on M0. The solutions are defined up to the solutions of Laplace and Toda-type equations and correspond to null-geodesics of the (sigma-model) target-space metric. Special solutions relating to Am Toda chains (e.g. with m =1,2) are considered.

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