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P-brane black holes for general intersections

V. D. Ivashchuk·V. N. Melnikov
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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.

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V. D. Ivashchuk, V. N. Melnikov. 2009-04-17. P-brane black holes for general intersections. https://arxiv.org/abs/gr-qc/0002085

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