Agegraphic Dark Energy Model in Non-Flat Universe: Statefinder Diagnostic and $w-w^{\prime}$ Analysis

TL;DR

This paper analyzes the interacting agegraphic dark energy model in non-flat universes using statefinder diagnostics and $w-w^{\prime}$ analysis, revealing how spatial curvature and model parameters influence cosmic acceleration.

Contribution

It introduces a comprehensive analysis of the interacting ADE model in non-flat universes, combining statefinder and $w-w^{\prime}$ diagnostics to explore parameter effects.

Findings

Acceleration occurs sooner in open universe

Evolution of $w_d$ depends on parameters $n$ and $\alpha$

Spatial curvature influences the timing of cosmic acceleration

Abstract

We study the interacting agegraphic dark energy (ADE) model in non-flat universe by means of statefinder diagnostic and $w-w^{\prime}$ analysis. First, the evolution of EoS parameter ($w_d$) and deceleration parameter ($q$) in terms of scale factor for interacting ADE model in non-flat universe are calculated. Dependence of $w_d$ on the ADE model parameters $n$ and $\alpha$ in different spatial curvatures is investigated. We show that the evolution of $q$ is dependent on the type of spatial curvature, beside of dependence on parameters $n$ and $\alpha$. The accelerated expansion takes place sooner in open universe and later in closed universe compare with flat universe. Then, we plot the evolutionary trajectories of the interacting ADE model for different values of the parameters $n$ and $\alpha$ as well as for different contributions of spatial curvature, in the statefinder parameters plane. In addition to statefinder, we also investigate the ADE model in non-flat universe with $w-w^{\prime}$ analysis.