GRAVITATIONAL WAVES in RELATIVISTIC THEORY of GRAVITATION

It is shown that gravitational waves do not have nonphysical “ghost” states in the Relativistic Theory of Gravitation with graviton having nonzero rest mass due to the causality condition. It was shown in [1,2] that, in linearized theory of gravitation, introducing the rest mass of graviton for a field with spins 2 and 0 leads to nonphysical “ghost states” due to spin 0 when interpreting gravitational effects in the Solar system. “Ghost” states appear also in the gravitational radiation. A conviction has grown up on this basis that just this proves that the graviton mass is exactly zero. However, in their study the authors of [1,2] do not treat the gravitational field as a tensor physical field in Minkowski space which generates an effective Riemannian space, and as a consequence, its own causality cone. That is why the causality condition has not appeared whereas it arises in the Relativistic Theory of Gravitation (RTG) [3], because it has two causality cones. There is only one causality cone of the Riemannian space in General Relativity. In the study of gravitational radiation it was found in paper [4] that taking into account nonlinear terms allows one to eliminate “ghost” states. This treatment was admitted also by us and it was given in [3]. In this work we have obtained that, in RTG, the negative energy flow and, hence, “ghost” states are eliminated even without an account of nonlinear terms. It turns