# Scattering of point particles by black holes: gravitational radiation

## TL;DR

This paper investigates gravitational waves generated when a point particle scatters off a black hole, providing exact results across velocity regimes and validating various approximation methods.

## Contribution

It offers exact numerical results for gravitational radiation during particle-black hole scattering, comparing them with multiple approximation techniques across different regimes.

## Key findings

- Results agree with post-Newtonian and weak-field predictions at low velocities.
- Good scaling agreement in the high-energy, weak-field regime.
- Striking match with zero-frequency estimates.

## Abstract

Gravitational waves can teach us not only about sources and the environment where they were generated, but also about the gravitational interaction itself. Here we study the features of gravitational radiation produced during the scattering of a point-like mass by a black hole. Our results are exact (to numerical error) at any order in a velocity expansion, and are compared against various approximations. At large impact parameter and relatively small velocities our results agree to within percent level with various post-Newtonian and weak-field results. Further, we find good agreement with scaling predictions in the weak-field/high-energy regime. Lastly, we achieve striking agreement with zero-frequency estimates.