Multidimensional sigma-models with composite electric p-branes

Abstract

We consider a gravitational model on a manifold M = M0 x M1 x...x Mn with oriented connected Einstein internal spaces M1,...,Mn. The matter part of the action contains several scalar fields and antisymmetric forms. With Ricci-flat internal spaces, the model has a midisuperspace representation in form of a sigma-model on M0. The latter can be used to determine exact composite electric p-brane solutions, which depend on a set of harmonic functions on M0.

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