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Symmetry breaking in nonlinear growth of bar instability

Published online by Cambridge University Press:  30 September 2008

A. Oscoz ,
E. Mediavilla ,
M. Serra-Ricart ,
M. Saijo  and
Y. Kojima
M. Saijo*
Affiliation:
School of Mathematics, University of Southampton, Southampton SO17 1BJ, UK
Y. Kojima
Affiliation:
Department of Physics, Hiroshima University, Higashi-Hiroshima 739-8526, Japan
*
[email protected] ; [email protected]
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Abstract

We investigate the nonlinear behaviour of the dynamically unstablerotating star for the bar mode by three dimensional hydrodynamics inNewtonian gravity. We find that an oscillation along the rotationaxis is induced throughout the growth of the unstable bar mode, andthat its characteristic frequency is twice as that of the bar mode,which oscillates mainly along the equatorial plane. The numericalresults also indicate that the vertical oscillation amplifies anotherwaves with odd azimuthal wave-numbers in the horizontal plane likeFaraday resonance. A possibility to observe Faraday resonance ingravitational waves is demonstrated and discussed.

Type
Research Article
Information
European Astronomical Society Publications Series , Volume 30: Spanish Relativity Meeting - Encuentros Relativistas Españoles, ERE2007: Relativistic Astrophysics and Cosmology , 2008 , pp. 299 - 302
Copyright
© EAS, EDP Sciences, 2008

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References

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Chandrasekhar, S., 1969, Ellipsoidal Figures of Equilibrium (Yale Univ. Press, New York), Chap. 5
Drazin, P.G., & Reid, W.H., 1981, Hydrodynamic Stability (Cambridge Univ. Press., Cambridge), Sect. 48
Miles, J., & Hederson, D., 1990, Ann. Rev. Fluid Mech., 22, 143 CrossRef
Saijo, M., & Kojima, Y., 2007, in preparation