Late time cosmological scenarios from scalar field with Gauss Bonnet and non-minimal kinetic couplings

TL;DR

This paper explores a scalar field model with non-minimal kinetic and Gauss-Bonnet couplings, producing diverse cosmological scenarios including early matter/radiation dominance, late-time acceleration, and unified models resembling Chaplygin gas.

Contribution

It introduces new scalar field solutions with combined couplings that unify early and late universe behaviors, including Chaplygin gas cosmologies.

Findings

Unified early and late time cosmological solutions.

Solutions unifying power-law and cosmological constant behaviors.

Chaplygin gas and generalized Chaplygin gas cosmologies found.

Abstract

We study a model of scalar field with kinetic terms non-minimally coupled to to the curvature, and the scalar field coupled to the Gauss Bonnet 4-dimensional invariant. A variety of solutions are found, giving rise to different cosmological scenarios. A unified description of early time matter (radiation) dominance with transitions to late time quintessence and phantom phases have been made. Among others, we found solutions unifying asymptotically the early power law behavior and late time cosmological constant. Solutions of Chaplygin gas and generalized Chaplygin gas cosmologies have also been found.