Constructing balanced equations of motion for particles in general relativistic theories: the general case

TL;DR

This paper develops a general method for deriving balanced equations of motion for particles in asymptotically flat, general relativistic backgrounds, focusing on back reaction effects from gravitational radiation.

Contribution

It introduces a novel framework for formulating equations of motion that accounts for gravitational radiation reaction in general relativistic theories.

Findings

Provides a unified approach for equations of motion in relativistic gravity

Highlights the importance of back reaction effects from gravitational waves

Applicable to compact objects in asymptotically flat spacetimes

Abstract

We present a general approach for the formulation of equations of motion for compact objects in general relativistic theories. The particle is assumed to be moving in a geometric background which in turn is asymptotically flat. Our approach defines a model for particle like objects which emphasizes different aspects of a set of gravitating objects; by concentrating in the main contributions coming from back reaction effects due to gravitational radiation.