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Global Stability Analysis for Cosmological Models with Non-minimally Coupled Scalar Fields by Skugoreva, Maria A.; Toporensky, Alexey V.; Vernov, Sergey Yu. is a scholarly article available to read on EtoBox.

What is Global Stability Analysis for Cosmological Models with Non-minimally Coupled Scalar Fields about?

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 $n<N$, $N<n<2N$ 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.

Author

Skugoreva, Maria A.; Toporensky, Alexey V.; Vernov, Sergey Yu.

Published

2014

Language

EN