On the stability of incompressible constant angular momentum cylinders

Astronomy and Astrophysics – Astronomy

Scientific paper

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Accretion Disks, Black Holes (Astronomy), Cylindrical Shells, Dynamic Stability, Incompressible Fluids, Rotating Fluids, Free Boundaries, Gravitational Collapse, Gravity Waves, Perturbation

Scientific paper

It is shown that incompressible cylindrical shells rotating in an external potential and having constant angular momentum distributions can be unstable with respect to non-axisymmetric perturbations. The instability occurs on dynamical time-scales and is due to the interaction of two free boundaries. The growth rates depending on the azimuthal wavenumber and the thickness of the shell are given in analytical form.

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