New Agegraphic Dark Energy Model in Modified Symmetric Teleparallel Theory

TL;DR

This paper explores a new agegraphic dark energy model within modified symmetric teleparallel theory, analyzing its cosmological behavior, stability, and implications for cosmic evolution and the coincidence problem.

Contribution

It introduces and investigates the new agegraphic dark energy model in $f( extbf{Q})$ theory, highlighting its cosmological characteristics and addressing the coincidence problem.

Findings

The universe exhibits quintessence-like behavior.

The model is unstable throughout cosmic evolution.

It addresses the cosmic coincidence problem.

Abstract

In this manuscript, we examine the cosmological significance of the new agegraphic dark energy model by investigating different cosmological parameters such as the equation of state parameter, $\omega_{D}-\omega^{\prime}_{D}$ and the $r-s$ planes in the framework of $f(\mathcal{Q})$ theory. We consider flat Friedmann-Robertson-Walker universe model under interacting conditions between dark energy and dark matter. The equation of state parameter indicates a quintessence-like characteristic of the universe. The stability of the model is analyzed using the squared speed of sound parameter which demonstrates the unstable behavior of the new agegraphic dark energy model throughout the cosmic evolution. The freezing region is represented by the $\omega_{D}-\omega^{\prime}_{D}$ plane, while the Chaplygin gas model corresponds to the $r-s$ plane. It is worthwhile to mention here that the interacting new agegraphic dark energy model addresses the cosmic coincidence problem by allowing the energy density ratio between dark energy and dark matter to evolve slowly over cosmic time.