Exact solutions in multidimensional gravity with antisymmetric forms

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 = M_0 x M_1 x ...x M_n, where M_i 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.

63 pages, Latex, topical review, few typos are eliminated

References in corpus (4)

• E_(10), BE_(10) and Arithmetical Chaos in Superstring Cosmology
• Hyperbolic Kac-Moody Algebras and Chaos in Kaluza-Klein Models
• On black holes in multidimensional theory with Ricci-flat internal spaces
• Generalized de Sitter solution in multidimensional cosmology with static internal spaces

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