Chaos and Gravitational Waves

Details Chaos and Gravitational Waves Chaos and Gravitational Waves

2001-06-20

arxiv.org/abs/gr-qc/0106062v1

Phys.Rev. D64 (2001) 084011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, no figures

Scientific paper

10.1103/PhysRevD.64.084011

The gravitational waveforms of a chaotic system will exhibit sensitive dependence on initial conditions. The waveforms of nearby orbits decohere on a timescale fixed by the largest Lyapunov exponent of the orbit. The loss of coherence has important observational consequences for systems where the Lyapunov timescale is short compared to the chirp timescale. Detectors that rely on matched filtering techniques will be unable to detect gravitational waves from these systems.

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