Signature of chaos in gravitational waves from a spinning particle

TL;DR

This paper investigates whether chaos in a spinning particle orbiting a black hole leaves detectable signatures in gravitational waves, revealing potential markers of chaos and system parameters.

Contribution

It demonstrates that chaotic orbits produce distinctive features in gravitational wave energy spectra, aiding in identifying chaos and system parameters.

Findings

Chaotic orbits emit about 10 times more gravitational energy than circular orbits.

Energy spectra of gravitational waves show characteristic features for chaotic orbits.

Enhanced energy emission is not always maximized in chaotic motion.

Abstract

A spinning test particle around a Schwarzschild black hole shows a chaotic behavior, if its spin is larger than a critical value. We discuss whether or not some peculiar signature of chaos appears in the gravitational waves emitted from such a system. Calculating the emitted gravitational waves by use of the quadrupole formula, we find that the energy emission rate of gravitational waves for a chaotic orbit is about 10 times larger than that for a circular orbit, but the same enhancement is also obtained by a regular "elliptic" orbit. A chaotic motion is not always enhance the energy emission rate maximally. As for the energy spectra of the gravitational waves, we find some characteristic feature for a chaotic orbit. It may tell us how to find out a chaotic behavior of the system. Such a peculiar behavior, if it will be found, may also provide us some additional informations to determine parameters of a system such as a spin.