Vacuum Einstein metrics with bidimensional Killing leaves. I-Local aspects

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dc.creatorSparano, G.
dc.creatorVilasi, G.
dc.creatorVinogradov, A.
dc.date2003-01-07
dc.date.accessioned2026-07-07T03:27:29Z
dc.date.available2026-07-07T03:27:29Z
dc.descriptionThe solutions of vacuum Einstein's field equations, for the class of Riemannian metrics admitting a non Abelian bidimensional Lie algebra of Killing fields, are explicitly described. They are parametrized either by solutions of a transcendental equation (the tortoise equation), or by solutions of a linear second order differential equation in two independent variables. Metrics, corresponding to solutions of the tortoise equation, are characterized as those that admit a 3-dimensional Lie algebra of Killing fields with bidimensional leaves.
dc.descriptionLateX file, 33 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/gr-qc/0301020
dc.identifierhttp://arxiv.org/abs/gr-qc/0301020
dc.identifierDiffer.Geom.Appl. 16 (2002) 95-120
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/34451
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleVacuum Einstein metrics with bidimensional Killing leaves. I-Local aspects
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