Faraday resonance in dynamical bar instability of differentially rotating stars
Astrophysics
2008-03-13 v1 General Relativity and Quantum Cosmology
Abstract
We investigate the nonlinear behaviour of the dynamically unstable rotating star for the bar mode by three-dimensional hydrodynamics in Newtonian gravity. We find that an oscillation along the rotation axis is induced throughout the growth of the unstable bar mode, and that its characteristic frequency is twice as that of the bar mode, which oscillates mainly along the equatorial plane. A possibility to observe Faraday resonance in gravitational waves is demonstrated and discussed.
Cite
@article{arxiv.0802.2277,
title = {Faraday resonance in dynamical bar instability of differentially rotating stars},
author = {Motoyuki Saijo and Yasufumi Kojima},
journal= {arXiv preprint arXiv:0802.2277},
year = {2008}
}
Comments
13 pages with 13 figures, revtex4.cls. Accepted for publication in the Physical Review D