Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2002-06-02
Mon.Not.Roy.Astron.Soc.334:L27,2002
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
5 pages, 7 figures, accepted for publication in MNRAS
Scientific paper
10.1046/j.1365-8711.2002.05724.x
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 nonaxisymmetric quasistationary states are calculated in the quadrupole formula. For rotating stars of mass $1.4M_{\odot}$ and radius several 10 km, gravitational waves have frequency several 100 Hz and effective amplitude $\sim 5 \times 10^{-22}$ at a distance of $\sim 100$ Mpc.
Eriguchi Yoshiharu
Karino Shigeyuki
Shibata Masaru
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