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Gravitational Collapse and Equilibrium Conditions of a Toroidal Vortex with Thermal Pressure

K. Yu. Bliokh·V. M. Kontorovich
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Abstract

We found equilibrium conditions for a self-gravitating toroidal vortex by taking into account thermal pressure. These conditions are shown to significantly differ from those for a disk and a sphere. The evolution of a thin vortex turns it into a compact vortex that loses mechanical stability for low masses at a polytropic index $γ< 4/3$ but retains stability for sufficiently high masses and densities determined by the velocity circulation in the vortex.

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K. Yu. Bliokh, V. M. Kontorovich. 2004-09-03. Gravitational Collapse and Equilibrium Conditions of a Toroidal Vortex with Thermal Pressure. https://doi.org/10.1134/1.1624458

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