Studies on Bianchi type-III cosmological model with parametrization of deceleration parameter in a SBST theory

Abstract

In this paper, we delve into the cosmological assessments concerning the deceleration parameter [Formula: see text] in the context of the Bianchi type-III cosmological model within the framework of the Saez–Ballester theory of gravitation. By postulating a proportional relationship between the shear scalar ([Formula: see text]) and the expansion scalar ([Formula: see text]), we derive solutions for the corresponding field equations. Additionally, we conduct an examination and evaluation of the model’s physical and kinematic parameters, including the jerk parameter and snap parameter, while also discussing the energy condition of the model. Through the depiction of graphical representations, we illustrate the variations of the cosmological parameters for specific sets of constants.