Non-minimally coupled transit cosmology in f(R, T) gravity

A non-minimally coupled cosmological model is studied in f(R,T) = f(1)(R) + f(2)(R)f(3)(T) gravity for a particular choice of the function in the background of flat Friedmann-Robertson-Walker universe. The modified field equations are solved with the help of a varying deceleration parameter. The time evolution of the model is analyzed for both the dynamic and kinematic quantities. For testing the viability of the results, energy conditions and the statefinder diagnostic are used. It has been shown that this model, which we discussed to examine the phase transition in the expansion of the universe, is compatible with current astrophysical observations, and that the DE model dominating the early universe is Chaplygin gas, while the model dominating the late universe is quintessence.