A relativistic action-at-a-distance description of gravitational interactions?

TL;DR

This paper proposes a relativistic action-at-a-distance model for gravity that aligns with Einstein's General Relativity at the first Post-Newtonian level, maintaining Lorentz invariance for multiple masses.

Contribution

It introduces a novel relativistic action-at-a-distance framework for gravity that reproduces key aspects of General Relativity in the weak-field limit.

Findings

Model equations are Lorentz invariant.

Agreement with Einstein's equations at first Post-Newtonian approximation.

Applicable to any number of point masses.

Abstract

It is shown that certain aspects of gravitation may be described using a relativistic action-at-a-distance formulation. The equations of motion of the model presented are invariant under Lorentz transformations and agree with the equations of Einstein's theory of General Relativity, at the first Post-Newtonian approximation, for any number of interacting point masses.