Probing equation-of-state-parameterized f(Q) gravity through various cosmic parameters

This study explores the cosmological implications of holographic dark energy model within the framework of [Formula: see text] gravity ([Formula: see text] represents the non-metricity scalar). We formulate the field equations for spatially flat, homogeneous and isotropic spacetime with perfect fluid matter distribution. To reconstruct the [Formula: see text] models, we consider the Chevalier–Polarski–Linder, Jassal–Bagla–Padmanabhan and Wetterich parameterizations for the holographic dark energy density profile in conjunction with power-law and exponential models of scale factors. The evolutionary cosmology is examined graphically through the equation of state parameter and stability analysis via squared speed of sound. Furthermore, we investigate the null and strong energy conditions to understand the nature of gravity and cosmic acceleration. Our graphical analysis reveals that the reconstructed models undergo a transition from quintessence to phantom era, exhibit cosmological viability as well as stability at present and near-future times for suitable choices of model parameters.

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