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Symmetry breaking in nonlinear growth of bar instability

  • A. Oscoz, E. Mediavilla, M. Serra-Ricart, M. Saijo (a1) and Y. Kojima (a2)...

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. 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.

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[1] Baiotti, L., De Pietri, R., Manca, G.M., & Rezzolla, L., 2007, PRD, 75, 044023
[2] Chandrasekhar, S., 1969, Ellipsoidal Figures of Equilibrium (Yale Univ. Press, New York), Chap. 5
[3] Drazin, P.G., & Reid, W.H., 1981, Hydrodynamic Stability (Cambridge Univ. Press., Cambridge), Sect. 48
[4] Miles, J., & Hederson, D., 1990, Ann. Rev. Fluid Mech., 22, 143
[5] Saijo, M., & Kojima, Y., 2007, in preparation

Symmetry breaking in nonlinear growth of bar instability

  • A. Oscoz, E. Mediavilla, M. Serra-Ricart, M. Saijo (a1) and Y. Kojima (a2)...

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