Phase space analysis of a holographic dark energy model

TL;DR

This paper analyzes the stability of an interacting holographic dark energy model, showing that certain interaction rates lead to a universe transitioning from deceleration to acceleration, providing insights into cosmic evolution.

Contribution

It introduces a phase space analysis of the holographic dark energy model, revealing conditions for stable accelerated expansion.

Findings

System exhibits a natural solution with initial deceleration transitioning to acceleration.

Certain interaction rates ensure the universe settles into an accelerated phase.

The model's stability depends on the interaction rate between dark matter and dark energy.

Abstract

The stability of interacting holographic dark energy model is discussed. It is found that for some class of the rate of interaction between dark matter and dark energy, the system has a natural solution where the universe had been decelerating in the begnning but finally settles down to an acelerated phase of expansion.