Gravitational Waves from Chaotic Dynamical System

Details Gravitational Waves from Chaotic Dynamical System Gravitational Waves from Chaotic Dynamical System

2004-04-30

arxiv.org/abs/gr-qc/0404124v1

Phys.Rev. D70 (2004) 064036

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, 13 figures. submitted to PRD

Scientific paper

10.1103/PhysRevD.70.064036

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.

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