LRS Bianchi type I with anisotropic bulk viscosity matter cosmological typical and quadratic deceleration parameter in f(R, ∑, T) gravity

The objective of this article is to explore the properties of a spatially homogeneous but anisotropic Bianchi type-I universe within the framework of f(R, & sum;, T) gravity. In this typical, the universe contains bulk viscosity matter<bold>,</bold> and R is the Ricci scalar, & sum; is the torsion scalar, T is the trace of the stress-energy momentum tensor, and eta is an arbitrary parameter that defines the functional form of f(R, & sum;, T) = R + Sigma +2 eta T. The field equations are solved utilizing the quadratic deceleration parameter, and a comprehensive analysis is conducted to examine and discuss the influence of torsion on the physical and kinematic characteristics of the typical in relation to the future evolution of the universe. Furthermore, we explore the weak energy conditions, dominant energy conditions, and strong energy conditions within our typical. Our results indicate that the universe is undergoing acceleration, and that this phenomenon is attributed to the existence of bulk viscosity matter.