A Method of Constructing Off-Diagonal Solutions in Metric-Affine and String Gravity

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dc.creatorVacaru, Sergiu I.
dc.creatorGaburov, Evghenii
dc.creatorGontsa, Denis
dc.date2003-10-14
dc.date2003-10-16
dc.date.accessioned2026-07-07T06:28:59Z
dc.date.available2026-07-07T06:28:59Z
dc.descriptionThe anholonomic frame method is generalized for non--Riemannian gravity models defined by string corrections to the general relativity and metric-affine gravity (MAG) theories. Such spacetime configurations are modeled as metric-affine spaces provided with generic off-diagonal metrics (which can not be diagonalized by coordinate transforms) and anholonomic frames with associated nonlinear connection (N-connection) structure. We investigate the field equations of MAG and string gravity with mixed holonomic and anholonomic variables. There are proved the main theorems on irreducible reduction to effective Einstein-Proca equations with respect to anholonomic frames adapted to N-connections. String corrections induced by the antisymmetric H-fields are considered. There are also proved the theorems and criteria stating a new method of constructing exact solutions with generic off-diagonal metric ansatz depending on 3-5 variables and describing various type of locally anisotropic gravitational configurations with torsion, nonmetricity and/or generalized Finsler-affine effective geometry. We analyze solutions, generated in string gravity, when generalized Finsler-affine metrics, torsion and nonmetricity interact with three dimensional solitons.
dc.descriptionLatex2e, 51 pages, v2 with grammar corrections
dc.identifierhttps://arxiv.org/abs/hep-th/0310133
dc.identifierhttp://arxiv.org/abs/hep-th/0310133
dc.identifierChapter 2 in: "Clifford and Riemann Finsler Structures in Geometric Mechanics and Gravity, Selected Works by S. Vacaru, P. Stavrinos, E. Gaburov and D. Gonta (Geometry Balkan Press, 2006) http://www.mathem.pub.ro/dgds/mono/va-t.pdf
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97882
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.titleA Method of Constructing Off-Diagonal Solutions in Metric-Affine and String Gravity
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