A Dynamical System Analysis of Holographic Dark Energy Models with Different IR Cutoff

TL;DR

This paper analyzes the cosmological evolution of holographic dark energy models interacting with dark matter using dynamical systems, exploring different IR cutoffs and interaction types to understand their phase space behavior.

Contribution

It introduces a dynamical system framework for holographic dark energy models with various IR cutoffs and interaction forms, providing phase space analysis of their evolution.

Findings

Different IR cutoffs lead to distinct phase space structures.

Interaction types influence the stability of cosmological solutions.

The model identifies conditions for accelerated expansion.

Abstract

The paper deals with a dynamical system analysis of the cosmological evolution of an holographic dark energy (HDE) model interacting with dark matter (DM) which is chosen in the form of dust. The infrared cut-off of the holographic model is chosen as future event horizon or Ricci length scale. The interaction term between dark energy and dark matter is chosen of following three types i) proportional to the sum of the energy densities of the two dark components ii) proportional to the product of the matter energy densities and iii) proportional to dark energy density. The dynamical equations are reduced to an autonomous system for the three cases and corresponding phase space is analyzed.