Non-minimally coupled scalar field cosmology on the phase plane

Details Non-minimally coupled scalar field cosmology on the phase plane Non-minimally coupled scalar field cosmology on the phase plane

2008-12-30

arxiv.org/abs/0812.5096v2

JCAP04(2009)026

Physics

High Energy Physics

High Energy Physics - Theory

revtex4, 20 pages, 12 figs; (v2) title changed, analysis of critical points at infinity added, accepted to JCAP

Scientific paper

10.1088/1475-7516/2009/04/026

In this publication we investigate dynamics of a flat FRW cosmological model with a non-minimally coupled scalar field with the coupling term $\xi R \psi^{2}$ in the scalar field action. The quadratic potential function $V(\psi)\propto \psi^{2}$ is assumed. All the evolutional paths are visualized and classified in the phase plane, at which the parameter of non-minimal coupling $\xi$ 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.

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