Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-05-06
Class.Quant.Grav. 14 (1997) 3001-3029; Erratum-ibid. 15 (1998) 3941-4942
Physics
High Energy Physics
High Energy Physics - Theory
33 pages, Latex. Some corrections and rearrangements are made
Scientific paper
10.1088/0264-9381/14/11/005
A multidimensional gravitational model containing several dilatonic scalar fields and antisymmetric forms is considered. 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 block-diagonal metric is chosen and all fields and scale factors of the metric are functions on M_0. For the forms composite (electro-magnetic) p-brane ansatz is adopted. The model is reduced to gravitating self-interacting sigma-model with certain constraints. In pure electric and magnetic cases the number of these constraints is m(m - 1)/2 where m is number of 1-dimensional manifolds among M_i. In the "electro-magnetic" case for dim M_0 = 1, 3 additional m constraints appear. A family of "Majumdar-Papapetrou type" solutions governed by a set of harmonic functions is obtained, when all factor-spaces M_k are Ricci-flat. These solutions are generalized to the case of non-Ricci-flat M_0 when also some additional "internal" Einstein spaces of non-zero curvature are added to M. As an example exact solutions for D = 11 supergravity and related 12-dimensional theory are presented.
Ivashchuk Vladimir D.
Melnikov Vitaly N.
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