Black hole p-brane solutions for general intersection rules

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dc.creatorIvashchuk, V. D.
dc.creatorMelnikov, V. N.
dc.date1999-10-05
dc.date.accessioned2026-07-07T04:27:08Z
dc.date.available2026-07-07T04:27:08Z
dc.descriptionBlack hole generalized 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 defined up to a set of functions H_s obeying a non-linear differential equations (equivalent to Toda-type equations) with certain boundary conditions imposed. A conjecture on polynomial structure of governing functions H_s for intersections related to semisimple Lie algebras is suggested. This conjecture is proved for Lie algebras: A_m, C_{m+1}, m = 1,2,... Explicit formulas for A_2-solution are obtained. Two examples of A_2-dyon solutions (e.g. dyon in D = 11 supergravity and Kaluza-Klein dyon) are considered. Post-Newtonian parameters "beta" and "gamma" corresponding to 4-dimensional section of the metric are calculated. It is shown that "beta" does not depend upon intersections of p-branes. Extremal black hole configurations are also considered.
dc.description27 pages, Latex, submit. to Class. Quant. Grav
dc.identifierhttps://arxiv.org/abs/hep-th/9910041
dc.identifierhttp://arxiv.org/abs/hep-th/9910041
dc.identifierGrav.Cosmol. 6 (2000) 27-40
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56309
dc.subjectHigh Energy Physics - Theory
dc.titleBlack hole p-brane solutions for general intersection rules
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