Scalar Field Cosmology -- Improving the Cosmological Evolutional Scenario

TL;DR

This paper investigates the evolution of cosmological models with scalar fields and matter, analyzing both minimal and non-minimal couplings, and introduces a simple method to derive the Hubble function from dynamical systems analysis.

Contribution

It presents a comprehensive dynamical systems approach to scalar field cosmology, including non-minimal coupling, and proposes a straightforward method to obtain the Hubble function from linearized solutions.

Findings

Growth in complexity of evolution scenarios with scalar fields

Derivation of the Hubble function form from linearized solutions

Analysis of all initial conditions using dynamical systems

Abstract

We study evolution of cosmological models filled with the scalar field and barotropic matter. We consider the scalar field minimally and non-minimally coupled to gravity. We demonstrated the growth of degree of complexity of evolutional scenario through the description of matter content in terms of the scalar field. In study of all evolutional paths for all initial conditions methods of dynamical systems are used. Using linearized solutions we present simple method of derivation corresponding form of the Hubble function of the scale factor $H(a)$.