Isotropization of transit symmetric teleparallel gravity with observational constraints

Abstract

Using the FLRW cosmological model, this paper explores the dynamics of perfect fluid as a source in the context of modified gravity, where the non-metricity [Formula: see text], which causes the gravitational interaction, is represented by the arbitrary function Lagrangian as the trace of the non-metricity tensor [Formula: see text], say [Formula: see text] gravity. We govern the features of the derived cosmological model in view of the parameterization of Hubble’s parameter of the form, [Formula: see text]. We have spoken about how the energy density, pressure, equation of state parameter, and skewness parameter in our model represent the physical behavior of the cosmos. In addition, we have looked at the kinematic parameters in our model that describe the cosmos, including the jerk, deceleration, and Hubble parameters. The universe’s phase transition from deceleration to acceleration is indicated by our model’s deceleration parameter, [Formula: see text]. Furthermore, the deceleration parameter’s present value, [Formula: see text] clearly aligns with the essential [Formula: see text]CDM model. In order to determine the nature of the dark energy model, we also examined geometrical diagnostics such as the Statefinder pairs and [Formula: see text] diagnostic. Additionally, we used the squared speed of sound test to examine the stability of the cosmos in our model. In the end, at present, the universe in our model is expanding, accelerating, and behaving in a manner consistent with a quintessential dark energy concept while at late the cosmos is dominated by [Formula: see text]CDM.