Global stability analysis for cosmological models with nonminimally coupled scalar fields
| Autor: | Maria A. Skugoreva, Sergey Yu. Vernov, Alexey Toporensky |
|---|---|
| Rok vydání: | 2014 |
| Předmět: |
High Energy Physics - Theory
Physics Nuclear and High Energy Physics Monomial Cosmology and Nongalactic Astrophysics (astro-ph.CO) Scalar (mathematics) FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) Cosmological constant Curvature General Relativity and Quantum Cosmology Gravitation Theoretical physics Classical mechanics Quadratic equation High Energy Physics - Theory (hep-th) Phase space Scalar field Astrophysics - Cosmology and Nongalactic Astrophysics |
| Zdroj: | Physical Review D. 90 |
| ISSN: | 1550-2368 1550-7998 |
| DOI: | 10.1103/physrevd.90.064044 |
| Popis: | We explore dynamics of cosmological models with a nonminimally coupled scalar field evolving on a spatially flat Friedmann-Lemaitre-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 $n2N$ 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. Comment: 21 pages, 9 figures, v2: references added, accepted for publication in PRD |
| Databáze: | OpenAIRE |
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