On the construction of effective metrics in a relational model of space-time

Within the scope of the relational model of spacetime developed by Yu. S. Vladimirov, we consider a toy model of test particle motion in an effective gravitational field described in terms of the modified Fokker-Feynman-Wheeler direct particle interaction formalism. It is shown that an agreement with the classical GR result (perihelion shift of a planetary orbit) can be obtained in the minimal nonlinear approximation in G under some simple assumptions. © 2013 Pleiades Publishing, Ltd.