Completely integrable sector in 5D Einstein-Maxwell gravity and derivation of the dipole black ring solutions

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dc.creatorYazadjiev, Stoytcho S.
dc.date2006-02-12
dc.date2006-04-18
dc.date.accessioned2026-07-07T10:45:56Z
dc.date.available2026-07-07T10:45:56Z
dc.descriptionWe consider 5D Einstein-Maxwell (EM) gravity in spacetimes with three commuting Killing vectors: one timelike and two spacelike Killing vectors one of them being hypersurface-orthogonal. Assuming a special ansatz for the Maxwell field we show that the 2-dimensional reduced EM equations are completely integrable by deriving a Lax-pair presentation. We also develop a solution generating method for explicit construction of exact EM solutions with considered symmetries. We also derive explicitly a new rotating six parametric 5D EM solution which includes the dipole black ring solution as a particular case.
dc.descriptionLaTex, 13 pages; v2 some typos corrected, references added;v3 more typos corrected, more references added, some explanations expanded, PRD
dc.identifierhttps://arxiv.org/abs/hep-th/0602116
dc.identifierhttp://arxiv.org/abs/hep-th/0602116
dc.identifierPhys.Rev.D73:104007,2006
dc.identifierdoi:10.1103/PhysRevD.73.104007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183071
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleCompletely integrable sector in 5D Einstein-Maxwell gravity and derivation of the dipole black ring solutions
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