The nature of low T/|W| dynamical instabilities in differentially rotating stars

Details The nature of low T/|W| dynamical instabilities in differentially rotating stars The nature of low T/|W| dynamical instabilities in differentially rotating stars

2003-09-20

arxiv.org/abs/astro-ph/0309554v2

Astrophys.J.618:L37,2005

Astronomy and Astrophysics

Astrophysics

Substantial revisions, accepted for publication in ApJ Letters

Scientific paper

10.1086/427653

Recent numerical simulations indicate the presence of dynamical instabilities of the f-mode in differentially rotating stars even at very low values of $T/|W|$, the ratio of kinetic to potential energy. In this Letter we argue that these may be shear instabilities which occur when the degree of differential rotation exceeds a critical value and the f-mode develops a corotation point associated with the presence of a continuous spectrum. Our explanation, which is supported by detailed studies of a simple shell model, offers a straightforward way of understanding all of the key features of these instabilities.

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