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

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 $\Lambda$CDM era. The EoS parameter($\omega_d$) for DE varies from phantom ($\omega<-1$) phase to quintessence ($\omega >-1$) 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.

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