Interacting Dark Energy: Dynamical System Analysis

TL;DR

This paper analyzes the effects of interactions between dark matter and dark energy using dynamical system methods in holographic and ghost dark energy models, revealing conditions for viable cosmological phases and bounds on interaction strength.

Contribution

It introduces a detailed phase space analysis of interacting dark energy models, highlighting the necessity of non-linear interactions for realistic cosmological evolution.

Findings

Unstable matter dominated and stable dark energy dominated phases identified.

Linear interactions lack a standard radiation epoch, resolved by non-linear interactions.

Upper bounds on coupling constants ensure viable matter dominated epochs.

Abstract

We investigate the impacts of interaction between dark matter and dark energy in the context of two dark energy models, holographic and ghost dark energy. In fact, using the dynamical system analysis, we obtain the cosmological consequence of several interactions, considering all relevant component of universe, i.e. matter (Dark and luminous), radiation and dark energy. Studying the phase space for all interactions in detail, we show the existence of unstable matter dominated and stable dark energy dominated phases. We also show that linear interactions suffer from the absence of standard radiation dominated epoch. Interestingly, this failure resolved by adding the non-linear interactions to the models. We find an upper bound for the value of the coupling constant of the interaction between dark matter and dark energy as b < 0.57 in the case of holographic model, and b < 0.61 in the case of ghost dark energy model, to result in a cosmological viable matter dominated epoch. More specifically, this bound is vital to satisfy instability and deceleration of matter dominated epoch.