Spin and Center of mass comparison between the PN approach and the asymptotic formulation

TL;DR

This paper compares the equations of motion for the center of mass and angular momentum derived from the asymptotic formulation of general relativity and Post-Newtonian methods, highlighting similarities and differences.

Contribution

It provides a detailed analysis of two different formulations for gravitational radiation sources, offering insights for future theoretical developments.

Findings

Identifies key similarities between the two approaches.

Highlights differences in equations of motion.

Provides conclusions useful for advancing both methods.

Abstract

In this work we analyse the similarities and differences between the equations of motion for the center of mass and intrinsic angular momentum for isolated sources of gravitational radiation obtained by two different formulations. One approach is based on the asymptotic formulation of the GR whereas the other relies on Post- Newtonian methods. Several conclusions are obtained which could be useful for further developments in both approaches.