Exact solutions in multidimensional gravity with antisymmetric forms
V. D. Ivashchuk, V. N. Melnikov
Abstract
This topical review deals with a multidimensional gravitational model containing dilatonic scalar fields and antisymmetric forms. The manifold is chosen in the form M = M0 x M1 x ...x Mn, where Mi are Einstein spaces (i >0). The sigma-model approach and exact solutions in the model are reviewed and the solutions with p-branes (e.g. Majumdar-Papapetrou-type, cosmological, spherically symmetric, black-brane and Freund-Rubin-type ones) are considered.
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