Equation of Motion of Small Bodies in Relativity

TL;DR

This paper proves that small bodies in general relativity follow geodesic paths when their size and mass are sufficiently small, confirming a key aspect of relativistic motion.

Contribution

It establishes a theorem demonstrating that small bodies in general relativity move along geodesics in the limit of negligible size and mass.

Findings

Small bodies follow geodesic trajectories in the specified limit.

The theorem confirms a fundamental assumption in relativistic physics.

Provides a rigorous mathematical foundation for motion of small bodies in relativity.

Abstract

There is proven a theorem, to the effect that a material body in general relativity, in a certain limit of sufficiently small size and mass, moves along a geodesic.