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Dynamical One-Armed Spiral Instability in Differentially Rotating Stars

Motoyuki Saijo·Shin'ichirou Yoshida
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Abstract

We investigate the dynamical one-armed spiral instability in differentially rotating stars with both eigenmode analysis and hydrodynamic simulations in Newtonian gravity. We find that the one-armed spiral mode is generated around the corotation radius of the star, and the distribution of angular momentum shifts inwards the corotation radius during the growth of one-armed spiral mode. We also find by investigating the distribution of the canonical angular momentum density that the low T/|W| dynamical instability for both m=1 and m=2 mode, where T is the rotational kinetic energy and W is the gravitational potential energy, is generated around the corotation point. Finally, we discuss the feature of gravitational waves generated from these modes.

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Motoyuki Saijo, Shin'ichirou Yoshida. 2005-03-31. Dynamical One-Armed Spiral Instability in Differentially Rotating Stars. https://arxiv.org/abs/astro-ph/0504002

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