Faraday resonance in dynamical bar instability of differentially rotating stars

Motoyuki Saijo; Yasufumi Kojima

doi:10.1103/PhysRevD.77.063002

Faraday resonance in dynamical bar instability of differentially rotating stars

Motoyuki Saijo^*, Yasufumi Kojima

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

We investigate the nonlinear behavior 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 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.

Original language	English
Article number	063002
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	77
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevD.77.063002
Publication status	Published - 2008 Mar 12
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy(all)
Nuclear and High Energy Physics
Mathematical Physics

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10.1103/PhysRevD.77.063002

Cite this

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abstract = "We investigate the nonlinear behavior 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 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.",

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AB - We investigate the nonlinear behavior 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 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.

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Faraday resonance in dynamical bar instability of differentially rotating stars

Abstract

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