Constructing balanced equations of motion for particles in general relativity: the harmonic gauge case

TL;DR

This paper derives explicit balanced equations of motion for a compact object in general relativity using the harmonic gauge, building on previous work that outlined the general challenges in such constructions.

Contribution

It provides the first explicit formulation of balanced equations of motion for particles in general relativity within the harmonic gauge framework.

Findings

Explicit balanced equations of motion derived

Framework applicable to compact objects in general relativity

Builds on prior theoretical foundations

Abstract

Based in the framework of article (arXiv:1609.02110), where we have presented the general problems one encounters in the construction of balanced equations of motions for particles in relativistic theories of gravity, we present in this work the explicit balanced equations of motion for a compact object in general relativity in the harmonic gauge.