Gravitational Waves from Chaotic Dynamical System

TL;DR

This paper explores how chaos influences gravitational wave signals by comparing emissions from spinning and spinless particles orbiting a Kerr black hole, revealing distinct spectral features associated with chaotic dynamics.

Contribution

It introduces an analysis of gravitational waves from chaotic systems around Kerr black holes, highlighting differences in spectra between chaotic and non-chaotic orbits.

Findings

Chaotic spinning particle orbits produce complex, broad energy spectra.

Spinless particle orbits show characteristic, discrete frequencies.

Chaos significantly alters gravitational wave signatures.

Abstract

To investigate how chaos affects gravitational waves, we study the gravitational waves from a spinning test particle moving around a Kerr black hole, which is a typical chaotic system. To compare the result with those in non-chaotic dynamical system, we also analyze a spinless test particle, which orbit can be complicated in the Kerr back ground although the system is integrable. We estimate the emitted gravitational waves by the multipole expansion of a gravitational field. We find a striking difference in the energy spectra of the gravitational waves. The spectrum for a chaotic orbit of a spinning particle, contains various frequencies, while some characteristic frequencies appear in the case of a spinless particle.