Comprehensive Study of Generalized Ghost Dark Energy in $f(\textsl{Q}, \textsl{L}_{m})$ Gravity: New Insights into Cosmic Dynamics

TL;DR

This study investigates the generalized ghost dark energy within $f(Q,L_m)$ gravity, reconstructing models to analyze cosmic evolution, stability, and observational consistency, revealing new insights into dark energy dynamics and cosmic history.

Contribution

It introduces a reconstruction of $f(Q,L_m)$ gravity models incorporating ghost dark energy, providing new perspectives on cosmic evolution and stability analysis.

Findings

Model aligns with recent observational data

Stability assessed via squared sound speed

Cosmic parameters vary with model parameters

Abstract

This paper explores the generalized ghost dark energy model in the framework of $f(\textsl{Q}, \textsl{L}_{m})$ gravity, where $\textsl{Q}$ represents the non-metricity scalar and $\textsl{L}_{m}$ denotes the matter-Lagrangian density. We take the homogeneous and isotropic universe with an ideal matter distribution and examine a scenario with interacting dark energy and dark matter. We then reconstruct $f(\textsl{Q}, \textsl{L}_{m})$ model to examine the effects of this extended gravitational framework on the cosmic evolution. The behavior of numerous cosmic parameters are explored corresponding to distinct parametric values. The stability is evaluated by the squared sound speed method. The statefinder $(r,s)$ and standard diagnostic pairs $(\omega_D-\omega'_{D})$ are used to study the various cosmic eras. Our results align with recent observational evidence, indicating that the $f(\textsl{Q}, \textsl{L}_{m})$ model effectively characterizes dark energy and cosmic evolution.