Accelerating cosmological \(f(R,L_{m},T)\) gravity model along with bulk viscous fluid

Abstract

This article explores the late-time acceleration phase of the universe through a novel \(f(R,L_{m},T)\) gravity model, particularly, \(f\left (R,L_{m},T\right ) = R + \alpha T + 2\beta L_{m} \), where \(\alpha \) and \(\beta \) are free parameters of the model, in the presence of viscous fluid. We obtain the corresponding analytical solution and then we establish the constrain on arbitrary parameters of the solution by considering the Cosmic chronometers and Panthoen+SH0ES data. Further, we analyze the behavior of the obtained constrained solution through the deceleration, effective equation of state, and the Om diagnostic test. We find that the present \(f\left (R,L_{m},T\right ) \) gravity model in the presence of viscous cosmic fluid successfully describe the late-time evolution phase of the universe with proper transition from the decelerated epoch to the accelerated one.