Positive definiteness of the gravitational radiation intensity in the theory of gravity with a nonzero graviton mass

A version of the theory of gravity is considered where the graviton mass is nonzero, and the gravitation radiation flux from an arbitrary spatially-bounded source is positive definite. The relation between energy losses by emission and the work of the source is established. It is shown that the total work includes the part produced by the interaction of the source with the radiation field and the part produced by the self-action of the field. The total work proves to be positive definite. The general form of the spectrum-angular distribution is obtained, accounting for the spin and polarization states. For spherically symmetric sources, the states with zero spin and zero projection of spin two on the momentum contribute to the emission.Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 107, No. 2, pp. 329–343, May, 1996.Translated by V. I. Serdobol'skii.