Cosmic Behavior, Statefinder Diagnostic and $w-w^{\prime}$ Analysis for Interacting NADE model in Non-flat Universe

TL;DR

This paper investigates the interacting NADE dark energy model in a non-flat universe, analyzing how spatial curvature, interaction strength, and model parameters influence cosmic acceleration and diagnostic tools like statefinder and $w-w'$ analysis.

Contribution

It provides a detailed analysis of the effects of spatial curvature and interaction parameters on the NADE model's behavior and diagnostics in a non-flat universe, including new constraints on the parameter $n$.

Findings

The model can cross the phantom divide with a minimum $n$ value.

Sign change of $q$ depends strongly on the interaction coefficient $eta$ in a closed universe.

Statefinder trajectories are influenced by both $n$ and $eta$ in non-flat cosmology.

Abstract

We give a brief review of interacting NADE model in non-flat universe. we study the effect of spatial curvature $\Omega_{k}$, interaction coefficient $\alpha $ and the main parameter of NADE, $n$, On EoS parameter $w_{d}$ and deceleration parameter $q$. We obtain a minimum value for $n$ in both early and present time, in order to that our DE model crosses the phantom divide. Also in a closed universe, changing the sign of $q$ is strongly dependent on $\alpha$. It has been shown that the quantities $w_{d}$ and $q$ have a different treatment for various spatial curvature. At last, we calculate the statefinder diagnostic and $ w-w^{\prime}$ analysis in non flat universe. In non flat universe, the statefinder trajectory is discriminated by both $n$ and $\alpha$.