Dynamical instability of differentially rotating stars

Dynamical instability of differentially rotating stars

We study the dynamical instability against bar-mode deformation of differentially rotating stars. We performed numerical simulation and linear perturbation analysis adopting polytropic equations of state with the polytropic index n= 1. It is found that rotating stars of a high degree of differential...

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Veröffentlicht in:Monthly notices of the Royal Astronomical Society 2002-08, Vol.334 (2), p.L27-L31
Hauptverfasser: Shibata, Masaru, Karino, Shigeyuki, Eriguchi, Yoshiharu
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gravitational waves
stars: neutron
stars: oscillations
stars: rotation
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creator Shibata, Masaru
Karino, Shigeyuki
Eriguchi, Yoshiharu
description We study the dynamical instability against bar-mode deformation of differentially rotating stars. We performed numerical simulation and linear perturbation analysis adopting polytropic equations of state with the polytropic index n= 1. It is found that rotating stars of a high degree of differential rotation are dynamically unstable even for the ratio of the kinetic energy to the gravitational potential energy of O(0.01). Gravitational waves from the final non-axisymmetric quasi-stationary states are calculated in the quadrupole formula. For rotating stars of mass 1.4 M⊙ and radius several 10 km, gravitational waves have frequency several 100 Hz and effective amplitude ∼5 × 10−22 at a distance of ∼100 Mpc.
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subjects gravitational waves
stars: neutron
stars: oscillations
stars: rotation
title Dynamical instability of differentially rotating stars
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