Einstein–Rosen universe with scalar field in [formula omitted] theories.

• f (R , T) = R + 2 f (T) model allows stiff matter form which indicates conservation of energy-momentum tensor in theory. • Different selection of f (R , T) models changes structure of space-time and cosmic matter. f (R , T) = f 1 (R , T) + f 2 (R) f 3 (T) model indicates both quintessence and phantom scalar field for Einstein-Rosen universe. Non-static Einstein–Rosen universe with scalar field is examined via two different selection of f (R , T) models. Firstly, we analyzed Einstein–Rosen universe with scalar field in f (R , T) = R + 2 f (T) model. Then, we constructed field equations for f (R , T) = f 1 (R) + f 2 (R) f 3 (T) model, as well. For both models, exact solutions of field equations have been attained without considering any approximation or restriction. Whether scalar field corresponds to phantom and/or quintessence scalar field are investigated for each models. [ABSTRACT FROM AUTHOR]