Statefinder and Om diagnostic parameter along with Energy Conditions of one-dimensional Bulk viscous cosmic string in f (R, T) theory of gravity

A spatially homogeneous and anisotropic Bianchi type VI₀ cosmological model is considered when the source for energy momentum tensor is a bulk viscous fluid containing one dimensional cosmic string in the framework of f (R, T) theory of gravity. We solve field equations using three different cases: (i) constant deceleration parameter. (ii) the expansion scalar of the space-time is proportional to the shear scalar (iii) A barotropic equation of state. Also, the bulk viscous pressure is assumed to be proportional to the energy density. The physical behavior of the investigated model is discussed and also the graphical behavior of parameters is discussed. Also, we analyzed jerk parameter and the state finder parameter. When we work on the diagnostic parameter we get negative slope and found that the model exhibited quintessence-like behavior. Our investigation concludes that the proposed cosmological model is in strong agreement with recent observational studies and successfully explains the late-time cosmic acceleration. Our study demonstrates that the derived cosmological model satisfies all energy conditions, indicating its physical plausibility without any violations.