| Issue |
EAS Publications Series
Volume 30, 2008
Spanish Relativity Meeting - Encuentros Relativistas Españoles , ERE2007: Relativistic Astrophysics and Cosmology
|
|
|---|---|---|
| Page(s) | 299 - 302 | |
| DOI | https://doi.org/10.1051/eas:0830048 | |
| Published online | 30 September 2008 | |
A. Oscoz, E. Mediavilla and M. Serra-Ricart (eds)
EAS Publications Series, 30 (2008) 299-302
Symmetry breaking in nonlinear growth of bar instability
1
School of Mathematics, University of Southampton,
Southampton SO17 1BJ, UK
2
Department of Physics, Hiroshima University,
Higashi-Hiroshima 739-8526, Japan
Corresponding authors: ms1@maths.soton.ac.uk ; kojima@theo.phys.sci.hiroshima-u.ac.jp
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. The numerical results also indicate that the vertical oscillation amplifies another waves with odd azimuthal wave-numbers in the horizontal plane like Faraday resonance. A possibility to observe Faraday resonance in gravitational waves is demonstrated and discussed.
© EAS, EDP Sciences, 2008