Integrable structure of the low-energy string gravity equations in D=4 space-times with two commuting isometries

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dc.creatorAlekseev, G. A.
dc.creatorYurova, M. V.
dc.date2004-01-12
dc.date.accessioned2026-07-07T04:16:30Z
dc.date.available2026-07-07T04:16:30Z
dc.descriptionThe generalized Einstein - Maxwell field equations which arise from a truncated bosonic part of the low - energy string gravity effective action in four dimensions (the so called Einstein-Maxwell - axion - dilaton theory) are considered. The integrable structure of these field equations for D=4 space-times with two commuting isometries is elucidated. We express the dynamical part of the reduced equations as integrability conditions of some overdetermined $4\times 4$-matrix linear system with a spectral parameter. The remaining part of the field equations are expressed as the conditions of existence for this linear system of two $4\times 4$-matrix integrals of special structures. This provides a convenient base for a generalization to these equations of various solution generating methods developed earlier in General Relativity.
dc.description8 pages, LaTeX. Based on the talk given at the Workshop ``Supersymmetry and Quantum Symmetries'' (JINR, Dubna, July 2003)
dc.identifierhttps://arxiv.org/abs/hep-th/0401077
dc.identifierhttp://arxiv.org/abs/hep-th/0401077
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/52374
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectExactly Solvable and Integrable Systems
dc.titleIntegrable structure of the low-energy string gravity equations in D=4 space-times with two commuting isometries
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