Faraday resonance in dynamical bar instability of differentially rotating stars

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. A possibility to observe Faraday resonance in gravitational waves is demonstrated and discussed.

13 pages with 13 figures, revtex4.cls. Accepted for publication in the Physical Review D

References in corpus (18)

• The bar-mode instability in differentially rotating neutron stars: Simulations in full general relativity
• Accurate simulations of the dynamical bar-mode instability in full General Relativity
• Dynamical instability of differentially rotating stars
• Dynamical Rotational Instability at Low $T/W$
• Dynamical bar-mode instability of differentially rotating stars: Effects of equations of state and velocity profiles
• The nature of low T/|W| dynamical instabilities in differentially rotating stars
• One-Armed Spiral Instability in Differentially Rotating Stars
• Unexpected Dynamical Instabilities In Differentially Rotating Neutron Stars
• Gravitational Radiation from Nonaxisymmetric Instability in a Rotating Star
• Gravitational Waves from Long-Duration Simulations of the Dynamical Bar Instability
• Dynamical Bar Instability in Rotating Stars: Effect of General Relativity
• Low T/|W| dynamical instability in differentially rotating stars: Diagnosis with canonical angular momentum
• Models of Rapidly Rotating Neutron Stars: Remnants of Accretion Induced Collapse
• Simulations of Nonaxisymmetric Instability in a Rotating Star: A Comparison Between Eulerian and Smooth Particle Hydrodynamics
• Dynamical instability of new-born neutron stars as sources of gravitational radiation
• Gravitational Radiation from Rotational Instabilities in Compact Stellar Cores with Stiff Equations of State
• AMR simulations of the low T/|W| bar-mode instability of neutron stars
• Experimental Study of Parametric Autoresonance in Faraday Waves

Cited by in corpus (11)

• Accurate evolutions of inspiralling neutron-star binaries: prompt and delayed collapse to black hole
• Accurate evolutions of inspiralling and magnetized neutron-stars: equal-mass binaries
• On the Shear Instability in Relativistic Neutron Stars
• Axisymmetric General Relativistic Simulations of the Accretion-Induced Collapse of White Dwarfs
• Dynamical bar-mode instability in rotating and magnetized relativistic stars
• Hyperbolic Self-Gravity Solver for Large Scale Hydrodynamical Simulations
• Neutron Star instabilities in full General Relativity using a $\Gamma =2.75$ ideal fluid
• Unstable normal modes of low T/W dynamical instabilities in differentially rotating stars
• Determining the stiffness of the equation of state using low T/W dynamical instabilities in differentially rotating stars
• Amplification of azimuthal modes with odd wave numbers during dynamical bar-mode growth in rotating stars
• Properties of rapidly rotating hot neutron stars within Brueckner theory