On Phenomenological Three Graviton Vertex

Nikishov A. I.

In General Relativity Theory the graviton interacts in 3-graviton vertex with a tensor which is not an energy-momentum tensor of gravitational field. We consider the possibility that the graviton interacts with some definite gravitational energy-momentum tensor found by us earlier in G2-approximation. This tensor in a gauge, which excludes nonphysical degrees of freedom, is remarkable in that it gives positive gravitational energy density for the Newtonian center in the same manner as the electromagnetic energy-momentum tensor does for the Coulomb center. We show that the assumed 3-graviton vertex does not lead to contradiction with precession of Mercury perihelion. In the S-matrix approach used here the external gravitational field has only a subsidiary role similar to that of the external field in quantum electrodynamics. This approach with the assumed vertex leads to the gravitational field which cannot be obtained from consistent gravitational equation.

PDF (207 Kb)