Generalized Ghost Dark Energy in f(Q) Gravity

Abstract

In this manuscript, we use the correspondence principle to construct the generalized ghost dark energy $f(Q)$ model, where $Q$ is the non-metricity. For this purpose, we use the Friedman-Robertson-Walker universe model with power-law scale factor. The energy density in this model linearly depends on the Hubble parameter, with a sub-leading term of $H^{2}$, resulting in an energy density $\rho_D=\xi H+\zeta H^{2}$, where $\xi$ and $\zeta$ are arbitrary constants. We reconstruct interacting fluid scenario of this dark energy with dark matter. The reformulated $f(Q)$ gravity model shows how different epochs of the cosmic history can be reproduced by this modified gravity model. The physical characteristics of the model are discussed through the equation of state parameter with the planes of $\omega_{D}-\omega'_{D}$ and $r-s$. We also explore the stability criteria for the interacting model using the squared speed of sound. The equation of state parameter indicates phantom phase of the universe and the squared speed of sound represents stability of the interacting model. The $(\omega_{D}-\omega^{\prime}_{D})$-plane indicates freezing region, while the $(r-s)$-plane corresponds to the Chaplygin gas. We conclude that our findings coincide with the latest observational data.