Noether symmetry approach to scalar-field-dominated cosmology with dynamically evolving G and Lambda

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dc.creatorBonanno, Alfio
dc.creatorEsposito, Giampiero
dc.creatorRubano, Claudio
dc.creatorScudellaro, Paolo
dc.date2007-08-03
dc.date.accessioned2026-07-07T11:52:53Z
dc.date.available2026-07-07T11:52:53Z
dc.descriptionThis paper studies the cosmological equations for a scalar field Phi in the framework of a quantum gravity modified Einstein--Hilbert Lagrangian where G and Lambda are dynamical variables. It is possible to show that there exists a Noether symmetry for the point Lagrangian describing this scheme in a FRW universe. Our main result is that the Noether Symmetry Approach fixes both Lambda = Lambda(G) and the potential V = V(Phi) of the scalar field. The method does not lead, however, to easily solvable equations, by virtue of the higher dimensionality of the reduced configuration space involved, the additional variable being the running Newton coupling.
dc.description10 pages, Revtex4
dc.identifierhttps://arxiv.org/abs/0708.0525
dc.identifierhttp://arxiv.org/abs/0708.0525
dc.identifierInt.J.Geom.Meth.Mod.Phys.5:329-337,2008
dc.identifierdoi:10.1142/S0219887808002801
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/204340
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleNoether symmetry approach to scalar-field-dominated cosmology with dynamically evolving G and Lambda
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