Gravitational Deflection of Light According to Theory of Sources

Abstract

The theory of sources predicts that in the G²-approximationa dependence of the external metric of a sphere on the radius of a material sphere (as well as on its energy-momentum tensor) appears. We show that in the G²-approximation the deflection of a massless particle in the dependence upon the radius manifests itself only in modification of the particle trajectory, not in the total deflection angle. In particular, the shortest distance from the sphere to the trajectory depends upon the sphere radius.