Mixed fluid cosmological model in $f(R,T)$ gravity

Abstract

We construct Locally Rotationally Symmetric (LRS) Bianchi type-I cosmological model in f (R, T ) theory of gravity when the source of gravitation is the mixture of barotropic fluid and dark energy (DE) by employing a time varying deceleration parameter (DP). We observe through the behavior of the state finder parameters (r, s) that our model begins from the Einstein static era and goes to ΛCDM era. The EoS parameter(ω d ) for DE varies from phantom (ω < −1) phase to quintessence (ω > −1) phase which is consistent with the observational results. It is found that the discussed model can reproduce the current accelerating phase of expansion of the universe.