The Phase-space analysis of scalar fields with non-minimally derivative coupling

TL;DR

This paper analyzes the dynamical behavior of scalar fields with non-minimal derivative coupling, revealing how such couplings influence stable solutions and attractors in cosmological models.

Contribution

It provides a phase-space analysis of scalar fields with non-minimal derivative coupling, highlighting differences in stability and attractors between quintessence and phantom cases.

Findings

Stable fixed points are unchanged with non-minimal coupling in quintessence.

Dark energy attractor exists only for minimal coupling in phantom case.

De-Sitter attractor is the only stable solution without canonical kinetic term.

Abstract

We perform a dynamical analysis for the exponential scalar field with non-minimally derivative coupling. For the quintessence case, the stable fixed points are the same with and without the non-minimally derivative coupling. For the phantom case, the attractor with dark energy domination exists for the minimal coupling only. For the non-minimally derivative coupling without the standard canonical kinetic term, only the de-Sitter attractor exists, and the dark matter solution is unstable.