Generalized intersecting p-brane solutions from the σ-model approach

Multidimensional gravitational model on the manifold M = M0 × ∏i=1n Mi, where Mi are Einstein spaces (i ≥ 1), is considered. The action contains m = 2n − 1 dilatonic scalar fields ϕ1 and m (antisymmetric) forms A1. When all fields and scale factors of the metric depend (essentially) on the point of M0 and any A1 is “proportional” to the volume form of submanifold Mi1 × … × Mik, 1 ≤ i1 < … < ik ≤ n, the σ-model representation is obtained. A family of “Majumdar-Papapetrou type” solutions are obtained, when all Mν are Ricci-flat. Relation of our generalized p-branes to usual intersecting p-branes is discussed.