Logunov"s RTG in the Light of the Affine Connection Geometry

We study Logunov's theory of gravity from the standpoint of the affine connection geometry. Using the Lagrange–Hilbert variational method, we conclude that if a background metric can be introduced effectively, then the graviton mass must not be zero, but if the graviton mass is zero, then only the Christoffel connection is effective in the background metric.