P-brane black holes for general intersections
Abstract
Black hole generalized p-brane solutions for a wide class of intersection rules are presented. The solutions are defined on a manifold that contains a product of n - 1 Ricci-flat internal spaces. They are defined up to moduli functions H_s = H_s(R) obeying a non-linear differential equations (equivalent to Toda-type equations) with certain boundary conditions imposed. Using conjecture on polynomial structure of H_s for intersections related to Lie algebras, new A_2-dyon solutions are obtained. Two examples of these A_2-dyon solutions, i.e. dyon in D = 11 supergravity with M2 and M5 branes intersecting at a point and dyon in Kaluza-Klein theory, are considered.
Keywords
Cite
@article{arxiv.gr-qc/0002085,
title = {P-brane black holes for general intersections},
author = {V. D. Ivashchuk and V. N. Melnikov},
journal= {arXiv preprint arXiv:gr-qc/0002085},
year = {2009}
}
Comments
12 pages, Latex, few typos are eliminated, a correct relation for parameters of special block-orthogonal solution is added (p. 6)