Interacting Holographic Dark Energy Model as a Dynamical system and the Coincidence Problem

TL;DR

This paper analyzes a holographic dark energy model with interacting dark matter and dark energy, using dynamical systems theory to understand their evolution and address the coincidence problem.

Contribution

It introduces a dynamical systems approach to an interacting holographic dark energy model with future event horizon cutoff, providing new insights into cosmic evolution.

Findings

Phase space analysis reveals stable attractors for the model.

Interaction affects the late-time behavior of dark energy and dark matter.

The model offers potential solutions to the coincidence problem.

Abstract

We examine the evolution of a holographic cosmological model with future event horizon as the infrared cut-off and dark matter and dark energy do not evolve independently $-$ there is interaction between them. The basic evolution equations are reduced to an autonomous system and corresponding phase space is analyzed.