Abstract
In General Relativity, the graviton interacts in three-graviton vertex with a tensor that is not the energy-momentum tensor of the gravitational field. We consider the possibility that the graviton interacts with the definite gravitational energy-momentum tensor that we previously found in the G 2 approximation. This tensor in a gauge, where nonphysical degrees of freedom do not contribute, is remarkable, because 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 three-graviton vertex does not lead to contradiction with the precession of Mercury’s perihelion. In the S-matrix approach used here, the external gravitational field has only a subsidiary role, similar to the external field in quantum electrodynamics. This approach with the assumed vertex leads to the gravitational field that cannot be obtained from a consistent gravity equation.
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Original Russian Text © A.I. Nikishov, 2006, published in Fizika Elementarnykh Chastits i Atomnogo Yadra, 2006, Vol. 37, No. 5.
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Nikishov, A.I. On the phenomenological three-graviton vertex. Phys. Part. Nuclei 37, 776–784 (2006). https://doi.org/10.1134/S1063779606050042
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DOI: https://doi.org/10.1134/S1063779606050042