Dynamics of three-form dark energy with dark matter couplings

TL;DR

This paper explores the dynamics of three-form dark energy models, especially their potential to address the coincidence problem through specific dark matter couplings, revealing viable runaway potentials and promising coupling forms.

Contribution

It investigates the background dynamics of three-form cosmology and identifies a coupling form that can potentially solve the coincidence problem.

Findings

Runaway potential is favored for three-form fields.

A specific coupling form can address the coincidence problem.

The model exhibits distinct signatures from scalar field dark energy.

Abstract

Three-form field can give rise to viable cosmological scenarios of dark energy with potentially observable signatures distinct from standard single scalar field models. In this study, the background dynamics of three-form cosmology are investigated. Our analysis suggests that the potential of three-form field should be runaway. We also investigate the possibility to solve the coincidence problem by using the coupling of three-form field to dark matter. Four types of coupling form are examined and we find that the coupling of the form $Q = \sqrt{6}\Gamma (\dot{X} + 3HX)/\kappa$ provides the possibility to solve the coincidence problem.