Black hole p-brane solutions for general intersection rules

Summary: "Generalized black-hole p-brane solutions for a wide class of intersection rules are obtained. The solutions are defined on a manifold that contains a product of n-1 Ricci-flat `internal' spaces. They are determined up to a set of functions H_s obeying non-linear differential equations (equivalent to Toda-type equations) with certain boundary conditions. A conjecture on a polynomial structure of the governing functions H_s for intersections related to semisimple Lie algebras is suggested. This conjecture is proved for the Lie algebras A_m, C_{m+1}, mgeq1. Explicit formulae for the A_2 solution are obtained. Two examples of A_2-dyon solutions (a dyon in D=11 supergravity and a Kaluza-Klein dyon) are considered. The post-Newtonian parameters beta and gamma corresponding to the 4-dimensional section of the metric are calculated. It is shown that beta does not depend on intersections of the p-branes. Extremal black-hole configurations are also considered."