Non-minimal matter-geometry coupling in the Bianchi-V spacetime within the formalism of f(R, T) = f1(R) plus f2(R) f3(T) cosmology

The models of f(R, T) gravity are efficient in describing a non-minimal coupling between geometry and matter. In this paper, the extended theory of gravity describes the non-minimal coupling between matter and geometry using special cosmological model of f(R, T) = f(1)(R) + f(2)(R) f(3)(T) in Bianchi-V spacetime; whose functional relations are f(1)(R) = f(2)(R) = R and f(3)(T) = beta T, where beta is a constant. The Einstein's field equation has been solved by taking special choice of scale factor as a = {t(m) exp(lambda t)}(1/n), where m, lambda and n are constants. The energy and other stability conditions obtained in this paper explain the physical behavior of phase transition of universe and it also confirms the stability of the derived model.