Post Newtonian emission of gravitational waves from binary systems: a gauge theory perspective

TL;DR

This paper introduces a gauge theory-based combinatorial formula for calculating gravitational wave luminosity from binary systems in the Post-Newtonian regime, validated against known black hole models.

Contribution

It presents a novel gauge-inspired combinatorial approach for Post-Newtonian gravitational wave calculations, extending the theoretical framework.

Findings

Formula matches previous results for Schwarzschild and Kerr black holes at high PN orders.

Tidal effects appear at 5th PN order, indicating blackness/compactness.

Method provides a new perspective on gravitational wave emission calculations.

Abstract

We derive a gauge inspired combinatorial formula based on localization for the Post-Newtonian expansion of the gravitational wave form luminosity of binary systems made of objects with very different masses orbiting at large distances and small velocities. The results are tested against previous formulae in the literature for Schwarschild and Kerr black holes at the 5th and 3rd Post Newtonian order respectively beyond the quadrupole approximation. Tidal effects show up in the wave form at the 5th PN order, providing a quantitative measure of the blackness/compactness properties of the heavy object.