Non-Interacting New Agegraphic Dark Energy Model in $f(Q)$ Gravity

TL;DR

This paper develops a new agegraphic dark energy model within $f(Q)$ gravity, analyzing its cosmic evolution, stability, and physical characteristics, demonstrating its effectiveness in addressing the cosmic coincidence problem.

Contribution

It introduces a novel agegraphic dark energy model in $f(Q)$ gravity and explores its implications for cosmic acceleration and stability.

Findings

Model indicates a quintessence era with accelerated expansion

Identifies freezing region in the $(\,\omega_{D}-\omega^{\prime}_{D})$-plane

Effectively resolves the cosmic coincidence problem

Abstract

In this study, we explore the reconstruction of a new agegraphic dark energy model in a flat Friedmann-Robertson-Walker spacetime by $f(Q)$ gravity framework, where $Q$ represents non-metricity. We assume that the scale factor follows a power-law and explore how this model aligns with the expanding universe. In this perspective, we develop a new agegraphic $f(Q)$ model and analyze the graphical behavior for cosmic evolution. We analyze physical characteristics of the model using the equation of state parameter, $(\omega_{D}-\omega^{\prime}_{D})$ and the $(r-s)$ planes. The equation of state parameter indicates a quintessence era characterized by accelerated expansion. The $(\omega_{D}-\omega^{\prime}_{D})$-plane identifies the freezing region and the Chaplygin gas model is represented in the $(r-s)$-plane. Finally, we examine the stability of the non-interacting model by evaluating the squared speed of sound. Our findings show that the non-interacting new agegraphic dark energy model effectively resolves the cosmic coincidence problem.