Homogeneous cosmologies and the Maupertuis-Jacobi principle

dc.creatorElias, Luciana A.
dc.creatorSaa, Alberto
dc.date2007-02-09
dc.date.accessioned2026-07-07T11:21:45Z
dc.date.available2026-07-07T11:21:45Z
dc.descriptionA recent work showing that homogeneous and isotropic cosmologies involving scalar fields are equivalent to the geodesics of certain effective manifolds is generalized to the non-minimally coupled and anisotropic cases. As the Maupertuis-Jacobi principle in classical mechanics, such result permits us to infer some dynamical properties of cosmological models from the geometry of the associated effective manifolds, allowing us to go a step further in the study of cosmological dynamics. By means of some explicit examples, we show how the geometrical analysis can simplify considerably the dynamical analysis of cosmological models.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/gr-qc/0702058
dc.identifierhttp://arxiv.org/abs/gr-qc/0702058
dc.identifierPhys.Rev.D75:107301,2007
dc.identifierdoi:10.1103/PhysRevD.75.107301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/194353
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleHomogeneous cosmologies and the Maupertuis-Jacobi principle
dc.typetext

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