Fluxbrane and S-brane solutions with polynomials related to rank-2 Lie algebras

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dc.creatorGoncharenko, I. S.
dc.creatorIvashchuk, V. D.
dc.creatorMelnikov, V. N.
dc.date2006-12-26
dc.date2007-12-12
dc.date.accessioned2026-07-07T11:23:46Z
dc.date.available2026-07-07T11:23:46Z
dc.descriptionComposite fluxbrane and S-brane solutions for a wide class of intersection rules are considered. These solutions are defined on a product manifold R_{*} x M_1 x ... x M_n which contains n Ricci-flat spaces M_1, ..., M_n with 1-dimensional factor spaces R_{*} and M_1. They are determined up to a set of functions obeying non-linear differential equations equivalent to Toda-type equations with certain boundary conditions imposed. Exact solutions corresponding to configurations with two branes and intersections related to simple Lie algebras C_2 and G_2 are obtained. In these cases, the functions H_s(z), s =1,2, are polynomials of degrees (3, 4) and (6, 10), respectively, in agreement with a conjecture put forward previously in Ref., \cite{Iflux}. The S-brane solutions under consideration, for special choices of the parameters, may describe an accelerating expansion of our 3-dimensional space and a small enough variation of the effective gravitational constant.
dc.description5 pages, Latex, journal version
dc.identifierhttps://arxiv.org/abs/math-ph/0612079
dc.identifierhttp://arxiv.org/abs/math-ph/0612079
dc.identifierGrav.Cosmol.13:262-266,2007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/195006
dc.subjectMathematical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectDifferential Geometry
dc.subject53Z05
dc.titleFluxbrane and S-brane solutions with polynomials related to rank-2 Lie algebras
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