Numerical evolutions of nonlinear r-modes in neutron stars

Abstract

Nonlinear evolution of the gravitational radiation (GR) driven instability in the r-modes of neutron stars is studied by full numerical 3D hydrodynamical simulations. The growth of the r-mode instability is found to be limited by the formation of shocks and breaking waves when the dimensionless amplitude of the mode grows to about three in value. This maximum mode amplitude is shown by numerical tests to be rather insensitive to the strength of the GR driving force. Upper limits on the strengths of possible nonlinear mode--mode coupling are inferred. Previously unpublished details of the numerical techniques used are presented, and the results of numerous calibration runs are discussed.

RevTeX 4, 17 pages, 26 figures. Slightly revised. To be published in PRD (April 2002)

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• Rotating Stars in Relativity
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• Strange stars as persistent sources of gravitational waves
• Gravitomagnetic resonant excitation of Rossby modes in coalescing neutron star binaries
• The rotational modes of relativistic stars: Numerical results
• Coupling of Radial and Axial non-Radial Oscillations of Compact Stars: Gravitational Waves from first-order Differential Rotation
• Nonlinear r-Modes in Neutron Stars: Instability of an unstable mode
• R-modes of neutron stars with the superfluid core
• Nonlinear Development of the Secular Bar-mode Instability in Rotating Neutron Stars
• Nonlinear evolution of r-modes: the role of differential rotation
• Coupling of radial and non-radial oscillations of relativistic stars: gauge-invariant formalism
• Precursor flares of short gamma-ray bursts from crust yielding due to tidal resonances in coalescing binaries of rotating, magnetized neutron stars
• The r-modes in accreting neutron stars with magneto-viscous boundary layers
• Numerical evolution of secular bar-mode instability induced by the gravitational radiation reaction in rapidly rotating neutron stars
• Light curves of oscillating neutron stars
• Nonlinear Couplings Between r-modes of Rotating Neutron Stars
• The influence of differential rotation on the detectability of gravitational waves from the r-mode instability
• Inertial modes in slowly rotating stars : an evolutionary description
• Constraining the r-mode saturation amplitude from a hypothetical detection of r-mode gravitational waves from a newborn neutron star - sensitivity study
• Effect of r-mode instability on the evolution of isolated strange stars
• Nonlinear Decay of r modes in Rapidly Rotating Neutron Stars
• Could strange stars be in the color-flavor-locked phase: Tested by their thermal evolutions
• The r-mode instability: Analytical solution with gravitational radiation reaction
• Non-linear excitation of low frequency modes by overstable convective modes in rotating stars