Generalized Ghost Dark Energy Model in Extended Modified Theory of Symmetric Telleparallel Gravity

TL;DR

This paper develops a generalized ghost dark energy model within extended symmetric teleparallel gravity, analyzing its cosmological behavior, stability, and consistency with observations, revealing a stable phantom era and connections to Chaplygin gas.

Contribution

It introduces a novel generalized ghost dark energy model in extended modified gravity and explores its cosmological implications and stability properties.

Findings

The model exhibits a phantom era in the equation of state parameter.

The squared speed of sound indicates the model is stable throughout cosmic evolution.

The $ ext{r-s}$ plane aligns with the Chaplygin gas model, matching observational data.

Abstract

This paper focuses on developing a generalized ghost dark energy model $f\mathcal{(Q,T)}$ through the correspondence scheme for a non-interacting scenario involving pressureless matter and a power-law scale factor. We analyze the cosmological implications of our model using the equation of state parameter, $\omega_{GGDE}-\omega'_{GGDE}$ and the $r-s$ planes. We also examine stability of the model by considering squared speed of sound parameter. The equation of state parameter shows the phantom era, while the squared speed of sound indicates a stable generalized ghost dark energy model throughout the cosmic evolution. The $\omega_{GGDE}-\omega'_{GGDE}$ plane depicts a freezing region, whereas the $r-s$ plane corresponds to the Chaplygin gas model. We conclude that our results are consistent with the current observational data.