2014/04/30 by Maria A. Skugoreva, A. V. Toporensky, Alexey V. Toporensky +2 · 46 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmological constant #Cosmology and Gravitation Theories #Curvature #Geometry #Inflation (cosmology) #Mathematical physics #Mathematics #Monomial #Physics #Pure mathematics #Quadratic equation #Relativity and Gravitational Theory #Scalar (mathematics) #Scalar curvature #Scalar field #Theoretical physics #astro-ph.CO #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.90.064044
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 90(6) (American Physical Society) · 21 pages, 9 figures, v2: references added, accepted for publication in PRD
arxiv created 2014/09/14 · openalex publication_date 2014/09/24 · arxiv updated 2014/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We explore dynamics of cosmological models with a nonminimally coupled scalar field evolving on a spatially flat Friedmann-Lema\\itre-Robertson-Walker background. We consider cosmological models including the Hilbert-Einstein curvature term and the N degree monomial of the scalar field nonminimally coupled to gravity. The potential of the scalar field is the n degree monomial or polynomial. We describe several qualitatively different types of dynamics depending on values of power indices N and n. We identify that three main possible pictures correspond to n<N, N<n<2N and n>2N cases. Some special features connected with the important cases of N=n (including the quadratic potential with quadratic coupling) and n=2N (which shares its asymptotics with the potential of the Higgs-driven inflation) are described separately. A global qualitative analysis allows us to cover the most interesting cases of small N and n by a limiting number of phase-space diagrams. The influence of the cosmological constant to the global features of dynamics is also studied.