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

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.