General Non-minimal Kinetic coupling to gravity

TL;DR

This paper introduces a new scalar field model with a non-minimal kinetic coupling to gravity, capable of explaining dark energy and cosmic acceleration with diverse dynamical behaviors.

Contribution

It proposes a novel non-minimal kinetic coupling model for scalar fields, analyzing its cosmological dynamics and potential to account for dark energy.

Findings

Model exhibits power-law expansion solutions.

Behavior close to cosmological constant in certain cases.

Matches current dark energy phenomenology.

Abstract

We study a new model of scalar field with a general non-minimal kinetic coupling to itself and to the curvature, as a source of dark energy, and analyze the cosmological dynamics of this model and the issue of accelerated expansion. A wide variety of scalar fields and potentials giving rise to power-law expansion have been found. The dynamical equation of state is studied for the two cases, without and with free kinetic term . In the first case, a behavior very close to that of the cosmological constant was found. In the second case, a solution was found, which match the current phenomenology of the dark energy. The model shows a rich variety of dynamical scenarios.