Topological defects in ΛCDM f(Q) gravity model with Hubble’s parametrization

The modified theories of gravity, especially the [Formula: see text] theory, have attracted much attention in recent years. This study delves into non-static plane-symmetric solutions within the framework of this theory, employing a metric approach. The field equations are addressed with the incorporation of the Hubble parametrization [Formula: see text]. The determination of optimal values for free parameters is achieved through the analysis of 57 data points of the Hubble parameter [Formula: see text]. Additionally, the study explores the behavior of various cosmological parameters, including the deceleration parameter [Formula: see text], energy density [Formula: see text], pressure [Formula: see text], and equation of state (EoS) parameter [Formula: see text], comparing them with observational findings. To validate the results, energy conditions and state finder analysis are undertaken. Ultimately, it is established that our model exhibits behavior akin to the [Formula: see text]CDM model. Finally, we found that our model behaves similar to the [Formula: see text]CDM model.