Catalyst type of interactions between dark energy and dark matter

TL;DR

This paper investigates three specific interaction models between dark energy and dark matter, analyzing their phase space and finding stable solutions that address the coincidence problem.

Contribution

It introduces a catalyst-like interaction framework between dark energy and dark matter and provides phase space analysis for each model.

Findings

Stable attractor solutions found for each interaction model.

Models can alleviate the coincidence problem.

Phase space analysis demonstrates the stability of solutions.

Abstract

In this paper, we focus on three specific interactions of dark sector in the existence of baryonic matter and radiation. First, we attempt to assume baryonic matter and radiation can affect the conversion between dark energy and dark matter like the way catalyst influences the conversion rate of two materials in some reversible chemical reactions. Then we present phase space analysis for every special interaction model. Finally, for every case, we obtain a stable attractor solution that can alleviate the coincidence problem.