# Dynamical bar‐mode instability of differentially rotating stars: effects of equations of state and velocity profiles

@article{Shibata2003DynamicalBI, title={Dynamical bar‐mode instability of differentially rotating stars: effects of equations of state and velocity profiles}, author={Masaru Shibata and Shigeyuki Karino and Yoshiharu Eriguchi}, journal={Monthly Notices of the Royal Astronomical Society}, year={2003}, volume={343}, pages={619-626} }

As an extension of our previous work, we investigate the dynamical instability against nonaxisymmetric bar-mode deformations of differentially rotating stars in Newtonian gravity by varying the equations of state and velocity profiles. We performed the numerical simulation and the follow-up linear stability analysis by adopting polytropic equations of state with polytropic indices n = 1, 3/2 and 5/2, and with two types of angular velocity profiles (the so-called j-constant-like and Kepler-like…

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