On Possible Three-Graviton Vertices

Abstract

The author compares, in the Born approximation, the cross sections for graviton scattering on Newtonian center in three cases using 1) a three-graviton vertex of general relativity, 2) a vertex formed with a properly chosen gravitational energy-momentum tensor of a massless spin-2 field, and 3) a vertex formed with Landau and Lifshits pseudotensor energy momentum. In all three cases, the cross sections are different For scattering by angles θ of an order of unity. So, in principle, the experiment decides which three-graviton vertex is used by nature. The manifestation of nonlocalizability of field energy is noted.