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Multidimensional sigma-models with composite electric p-branes

V. D. Ivashchuk·V. N. Melnikov·M. Rainer
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Abstract

We consider a gravitational model on a manifold M = M_0 x M_1 x...x M_n with oriented connected Einstein internal spaces M_1,...,M_n. 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 M_0. The latter can be used to determine exact composite electric p-brane solutions, which depend on a set of harmonic functions on M_0.

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V. D. Ivashchuk, V. N. Melnikov, M. Rainer. 1997-10-13. Multidimensional sigma-models with composite electric p-branes. https://arxiv.org/abs/gr-qc/9705005

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