Matter tensor in scalar-tensorial theories of gravitation

Gravitational interaction is assumed to be partially geometrized and described by 10 potential functions in the framework of a Riemannian geometry. It is also partially nongeometrized and described by an additional scalar potential function nonlinearly coupled to the energy density. The scalar potential naturally leads to a conformally Riemannian metric, making it possible to completely geometrize the gravitation and to establish a close analogy with the Brans-Dicke theory. Finally, the scalar field is endowed with the rest mass, and it is suggested that it be identified with the short-range graviscalar field.