Bianchi Type-III Cosmological Model in Theory of Gravity

Abstract

The study conducted in this research paper utilizes the  f(Q,T) gravity which incorporates a non-metricity Q along with the trace T of energy-momentum tensor. The cosmological implication of this theory in a spatially flat isotropic and homogeneous universe is extensively studied. However, our universe is not isotropic because of the Plank era and therefore to understand the complete evolution of the universe we must examine the  f(Q,T) theory in a model with a small anisotropy. This inspired us to presume a spatially homogeneous anisotropic Bianchi type-III spacetime in presence of perfect fluid. We analyze the model f(Q,T)  = αQ + βT where α and β are constants, in the background of an anisotropic universe with a widely accepted physically driven relation of proportionality between the expansion and the shear scalar. The cosmological parameters of the model are derived and analyzed. We examine the contribution of parameter space in deriving an acceptable model of the universe. Specific kinematic measures such as look-back time, proper distance, luminosity distance, angular diameter distance, the distance modulus versus redshift are discussed thoroughly to access the influence of particle creation in early and late-time cosmic evolution.