Two fluid cosmological models in f(R,T) theory of gravity

This work deals with the two fluid Bianchi type-V cosmological models consisting of matter and radiating source in the f(R,T) theory of gravity studied by Harko et al. [Phys. Rev. D 84, 024020 (2011)]. In this paper, we developed a new idea about f(R,T) gravity with the help of two fluids: one fluid is matter field modeling material content of the Universe and other fluid is radiation field modeling the cosmic microwave background (CMB). We have determined the solution of the two fluid gravitational field equations with the systematic structure in f(R,T) gravity. Here, we have deliberated four types of universe such as dust universe, radiation universe, hard universe and Zel'dovich universe and also extended our work to observe the big rip and big bang singularity. We have also tested the cosmological parameters.