Abstract

In the present study, we focus on the gravitational sector as the primary driver of dark energy evolution, as opposed to the matter source. We explore a modified version of symmetric teleparallel gravity known as f(Q) gravity, which introduces the non-metricity component Q to govern gravitational interactions. Our investigation centers on the f(Q) model, specifically the form f(Q)=αQ+βQn, incorporating both linear as well as nonlinear representations of the nonmetricity scalar. The parameters n, α, and β are free in this model. In the purpose of examining the behavior of the model, we adopt initial conditions based on ΛCDM observational Planck 2018 data, specifically ΩD0=0.73 and H0=67.9, for various values of n. The statefinder pairs (r,s), (r,q), (ωDE,ωDE′) pair, Om(z) diagnostic planes and some other tools we have employed. Our findings demonstrate that the model exhibits both Chaplygin gas and quintessence behaviors in the (r,q) and (r,s) pair planes across different values of n. Additionally, we employ Om(z) diagnostic analysis to distinguish our model from other DE models.

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