Scalar field cosmology -- toward description of dynamic complexity of cosmological evolution

TL;DR

This paper explores the complex evolution of cosmological models with scalar fields non-minimally coupled to gravity, revealing new solution types and richer scenarios compared to minimal coupling, using dynamical system methods.

Contribution

It introduces the twister solution and demonstrates how non-minimal coupling enriches the cosmological evolution scenarios.

Findings

Identified a linking evolutional path connecting key cosmological events.

Discovered the new twister solution for universe evolution.

Showed non-minimal coupling leads to more complex scenarios.

Abstract

We study the dynamical evolution of cosmological models with the Robertson-Walker symmetry with a scalar field non-minimally coupled to gravity and barotropic matter. For this aim we use dynamical system methods. We have found a type of evolutional path which links between all important events during the evolution, the cosmological singularity of finite time, inflation, radiation and matter dominating epoch and the accelerated phase expansion of the universe. We point out importance of finding the new generic solution called a twister solution for a deeper description of the evolution of the Universe. We demonstrate that including the non-minimal coupling leads to a new, richer evolutional cosmological scenario in comparison to the case of minimal coupling.