Signature of chaos in gravitational waves from a spinning particle

Kei-ichi Maeda; Shingo Suzuki

Signature of chaos in gravitational waves from a spinning particle

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arxiv gr-qc/9910064 v1 pith:NKTICEEB submitted 1999-10-20 gr-qc

Signature of chaos in gravitational waves from a spinning particle

Shingo Suzuki , Kei-ichi Maeda This is my paper

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keywords chaoticgravitationalwavesorbitbehaviorenergyfindsome

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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.

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Cited by 2 Pith papers

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gr-qc 2026-01 conditional novelty 7.0

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Chaotic Imprints in Gravitational Waves from Conformal-Anomaly-Corrected Extreme-Mass-Ratio Inspirals
gr-qc 2026-07 reject novelty 4.0

Gravitational-wave imprints are computed for trapped orbits in a conformal-anomaly-corrected black hole spacetime, but the chaotic motion is produced by an external harmonic potential rather than the anomaly itself.