On a description of Gravitational Interaction between moving objects in terms of Spatial Gravitational Fields

TL;DR

This paper demonstrates that the motion of particles in gravitational fields can be described using Maxwell-like spatial fields derived from Newtonian gravity and special relativity, valid in linear and low-velocity approximations.

Contribution

It introduces a novel framework representing gravitational interactions via spatial fields obeying Maxwell-like equations, bridging Newtonian gravity and relativistic effects.

Findings

Spatial gravitational fields satisfy Maxwell-like equations.

The approach is valid in linear approximation and low velocities.

Motion in gravitational fields can be described using these effective fields.

Abstract

Analyzing two simple experimental situations we show that from Newton's law of gravitation and Special Relativity it follows that the motion of particle in an external gravitational field can be described in terms of effective spatial fields which satisfy Maxwell-like system of equations and propagate with the speed of light. The description is adequate in a linear approximation in gravitational field and in a first order in v^2/c^2.