Chaos and Gravitational Waves
General Relativity and Quantum Cosmology
2009-11-07 v1
Abstract
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.
Cite
@article{arxiv.gr-qc/0106062,
title = {Chaos and Gravitational Waves},
author = {Neil J. Cornish},
journal= {arXiv preprint arXiv:gr-qc/0106062},
year = {2009}
}
Comments
4 pages, no figures