Non-minimally coupled scalar field cosmology on the phase plane

Simple item page
dc.creatorHrycyna, Orest
dc.creatorSzydlowski, Marek
dc.date2008-12-30
dc.date2009-04-13
dc.date.accessioned2026-07-07T13:11:43Z
dc.date.available2026-07-07T13:11:43Z
dc.descriptionIn this publication we investigate dynamics of a flat FRW cosmological model with a non-minimally coupled scalar field with the coupling term $ξR ψ^{2}$ in the scalar field action. The quadratic potential function $V(ψ)\propto ψ^{2}$ is assumed. All the evolutional paths are visualized and classified in the phase plane, at which the parameter of non-minimal coupling $ξ$ plays the role of a control parameter. The fragility of global dynamics with respect to changes of the coupling constant is studied in details. We find that the future big rip singularity appearing in the phantom scalar field cosmological models can be avoided due to non-minimal coupling constant effects. We have shown the existence of a finite scale factor singular point (future or past) where the Hubble function as well as its first cosmological time derivative diverges.
dc.descriptionrevtex4, 20 pages, 12 figs; (v2) title changed, analysis of critical points at infinity added, accepted to JCAP
dc.identifierhttps://arxiv.org/abs/0812.5096
dc.identifierhttp://arxiv.org/abs/0812.5096
dc.identifierJCAP04(2009)026
dc.identifierdoi:10.1088/1475-7516/2009/04/026
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229372
dc.subjectHigh Energy Physics - Theory
dc.subjectCosmology and Nongalactic Astrophysics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleNon-minimally coupled scalar field cosmology on the phase plane
dc.typetext

Files

Collections

arXiv