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

TL;DR

This paper explores two-fluid cosmological models within $f(R, T)$ gravity, analyzing different universe types and singularities, and testing cosmological parameters to understand the universe's evolution.

Contribution

It introduces a new approach to $f(R, T)$ gravity using two fluids, providing solutions for various universe models and examining singularities and cosmological parameters.

Findings

Derived solutions for matter and radiation fluids in $f(R, T)$ gravity.

Analyzed different universe types including dust, radiation, hard, and Zeldovich universes.

Explored the occurrence of big bang and big rip singularities.

Abstract

Present 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. (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 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 Zeldovich universe and also extended our work to observe the big rip and big bang singularity. We have also tested the cosmological parameters.