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### A Model with Quadratic Equation of State in f (R, T) Theory

#### Abstract

In this paper we have studied Bianchi type-I cosmological model with quadratic equation of state in *f *(*R*, *T*) theory of gravity proposed by Harko et al. (Phys. Rev. D 84:024020, 2011). For a specific choice of *f *(*R*, *T*) = *R* + 2*f*(*T*) where *f*(*T*) = - *λT. *We have discussed two cases of *f *(*R*, *T*) gravity, *i.e.*, (i) *f *(*R*, *T*) = *R* + 2*f*(*T*); (ii) *f *(*R*, *T*) = *f _{1}*(

*R*) +

*f*(

_{2}*R*) for both the cases we obtain that universe starts with a big-bang at initial time and both become isotropic at late times. Also we obtain models are accelerating.