Interacting agegraphic dark energy models in phase space

TL;DR

This paper analyzes interacting agegraphic dark energy models using phase space methods, revealing attractor solutions for accelerated expansion and demonstrating the emergence of transient acceleration in a three-component universe model.

Contribution

It introduces a phase space analysis of interacting agegraphic dark energy models and explores transient acceleration in a three-component universe including a scalar field.

Findings

Identified attractor points corresponding to accelerated expansion.

Demonstrated transient acceleration in a scalar field and dark matter interacting model.

Results align with recent supernova observations.

Abstract

Agegraphic dark energy, has been recently proposed, based on the so-called Karolyhazy uncertainty relation, which arises from quantum mechanics together with general relativity. In the first part of the article we study the original agegraphic dark energy model by including the interaction between agegraphic dark energy and pressureless (dark) matter. The phase space analysis was made and the critical points were found, one of which is the attractor corresponding to an accelerated expanding Universe. Recent observations of near supernova show that the acceleration of Universe decreases. This phenomenon is called the transient acceleration. In the second part of Article we consider the 3-component Universe composed of a scalar field, interacting with the dark matter on the agegraphic dark energy background. We show that the transient acceleration appears in frame of such a model. The obtained results agree with the observations.