Third order post-Newtonian gravitational radiation from two-body scattering: Instantaneous energy and angular momentum radiation

TL;DR

This paper calculates the third post-Newtonian order gravitational wave energy and angular momentum emitted during hyperbolic encounters of non-spinning compact objects, advancing theoretical understanding of gravitational radiation in scattering events.

Contribution

It provides the first 3PN-accurate instantaneous expressions for energy and angular momentum fluxes during hyperbolic encounters of compact objects.

Findings

Derived 3PN-accurate formulas for energy flux

Derived 3PN-accurate formulas for angular momentum flux

Enhanced theoretical models for gravitational wave emission in scattering events

Abstract

We compute the third post-Newtonian (3PN) accurate instantaneous contributions to the radiated gravitational wave (GW) energy and angular momentum arising from the hyperbolic passages of non-spinning compact objects. The present computations employ 3PN-accurate instantaneous contributions to the far-zone energy and angular momentum fluxes and the 3PN-accurate Keplerian type parametric solution for compact binaries in hyperbolic orbits.