Phase transition of LRS Bianchi type-I cosmological model in f(R, T) gravity

In this work, LRS Bianchi type-I cosmological model with perfect fluid source in f(R, T) gravity theory, where R is the Ricci scalar and T is the trace of the stress energy-momentum tensor, has been studied in order to investigate early time deceleration and late time acceleration of the universe. By proposing a new special form of time-varying deceleration parameter in terms of Hubble parameter, the exact solution of the field equations has been obtained. The physical and geometric quantities of the model have been derived and their evolution has been discussed. Our model has an initial singularity and initially exhibits decelerating expansion and transits to accelerating expansion phase at last eras. The nature of the matter source of the model is consistent with the standard model in frame of the structure formation.