Faraday resonance in dynamical bar instability of differentially rotating stars

2008/02/15 by Motoyuki Saijo, Yasufumi Kojima · 3 citations
Earth and Planetary Sciences · Physics and Astronomy · #Geophysics and Gravity Measurements #Pulsars and Gravitational Waves Research #Solar and Space Plasma Dynamics #astro-ph #gr-qc

paper · pdf · doi:10.1103/physrevd.77.063002

published as Phys.Rev.D77:063002,2008 · 13 pages with 13 figures, revtex4.cls. Accepted for publication in the Physical Review D

arxiv created 2008/02/15 · openalex publication_date 2008/03/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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