Cosmography of Non-Interacting Ghost and Generalized Ghost Dark Energy Models in f(Q) Gravity

TL;DR

This paper develops and analyzes non-interacting ghost and generalized ghost dark energy models within $f(Q)$ gravity, examining their cosmic behavior, stability, and alignment with observations.

Contribution

It introduces a novel application of $f(Q)$ gravity to ghost dark energy models and assesses their stability and cosmological implications.

Findings

The equation of state parameter indicates a phantom era.

The generalized ghost dark energy model remains stable throughout cosmic evolution.

Models align well with current observational data.

Abstract

This paper aims to develop non-interacting ghost dark energy and generalized ghost dark energy models within the framework of $f(Q)$ theory using the correspondence scheme. We use pressureless matter and a power-law scale factor. The cosmic implications of the resulting models are studied through the equation of state parameter and the phase planes. We also check the stability of the reconstructed models through the squared speed of sound parameter. The equation of state parameter exhibits a phantom era, the $(\omega_{D}-\omega^{\prime}_{D})$-plane indicates a freezing region, while the $(r-s)$-plane corresponds to the Chaplygin gas model for both models. It is also found that only the generalized ghost dark energy model remains stable throughout cosmic evolution. We conclude that our findings align well with current observational data.