Dynamics of interacting quintessence

TL;DR

This paper analyzes the dynamics of interacting quintessence models with specific coupling forms, using phase space analysis to identify attractor solutions that could explain late-time cosmic acceleration and address the coincidence problem.

Contribution

It introduces and studies three new interacting quintessence models with specific coupling forms and performs phase space analysis to find attractor solutions.

Findings

Identification of attractor solutions leading to late-time acceleration

Models can produce E/M ratio of order unity

Potential to alleviate the coincidence problem

Abstract

In this paper, we investigate coupled quintessence with scaling potential assuming specific forms of the coupling as $A$ namely, $\alpha \dot{\rho_m}$, $\beta \dot{\rho_{\phi}}$ and $\sigma (\dot{\rho_m}+\dot{\rho_{\phi}})$, and present phase space analysis for three different interacting models. We focus on the attractor solutions that can give rise to late time acceleration with $\Omega_{DE}/\Omega_{DM}$ of order unity in order to alleviate the coincidence problem.