2008/12/31 by Orest Hrycyna, Marek Szydlowski, Marek Szydłowski · 50 citations
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Classical mechanics #Cosmological constant #Cosmology #Cosmology and Gravitation Theories #Coupling constant #Dark energy #De Sitter universe #Field (mathematics) #Friedmann–Lemaître–Robertson–Walker metric #Geometry #Hubble's law #Initial singularity #Mathematical analysis #Mathematical physics #Metric expansion of space #Physics #Quantum mechanics #Scalar (mathematics) #Scalar field #Scalar potential #Scale factor (cosmology) #Singularity #Theoretical physics #Universe #astro-ph.CO #gr-qc #hep-th
paper · pdf · doi:10.1088/1475-7516/2009/04/026
published in Journal of Cosmology and Astroparticle Physics 2009(04), 026 (Institute of Physics) · revtex4, 20 pages, 12 figs; (v2) title changed, analysis of critical points at infinity added, accepted to JCAP
arxiv created 2009/04/13 · openalex publication_date 2009/04/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
In this publication we investigate dynamics of a flat FRW cosmological model with a non-minimally coupled scalar field with the coupling term ξ R ψ 2 in the scalar field action. The quadratic potential function V (ψ) ∝ 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 diverge.