Scalar field in unimodular f(R, T) theory

Abstract

In this paper, we are fundamentally interested in minimally coupled scalar field as source of unimodular Friedmann–Robertson–Walker (FRW) spacetime. We obtain dynamical quantities related with scalar field in FRW cosmologies by using field equations of unimodular f(R, T) theory. Equation of motion for a test particle and kinematical quantities are also obtained. We achieve Newtonian limit of unimodular f(R, T) theory by using weak field approximation. Energy conditions are presented for scalar field in unimodular f(R, T) theory. Energy conditions are examined by using graphics for massive and massless scalar field. Obtained results are discussed by comparing with viable cosmological models and previous works. Validity of unimodular f(R, T) theory is concluded.