Orest Hrycyna and Marek Szydłowski JCAP04(2009)026 doi:10.1088/1475-7516/2009/04/026
Non-minimally coupled scalar field cosmology on the phase plane
Orest Hrycynaa and Marek Szydłowskib,c
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ψ2 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 diverge.
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Issue 04 (April 2009)
Received 28 March 2009, accepted for publication 12 April 2009
Published 24 April 2009
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Non-minimally coupled scalar field cosmology on the phase plane
Orest Hrycyna and Marek Szydłowski JCAP04(2009)026
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