Symmetry breaking in nonlinear growth of bar instability

Motoyuki Saijo*, Y. Kojima

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapter


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.

Original languageEnglish
Title of host publicationEAS Publications Series
Number of pages4
Publication statusPublished - 2008
Externally publishedYes

Publication series

NameEAS Publications Series
ISSN (Print)16334760
ISSN (Electronic)16381963

ASJC Scopus subject areas

  • General Engineering


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