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Gravitational collapse and equilibrium conditions of a toroidal vortex with thermal pressure |
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| Authors: | K Yu Bliokh V M Kontorovich |
| Institution: | (1) Institute of Radio Astronomy, National Academy of Sciences of Ukraine, Krasnoznamennaya ul. 4, Kharkov, 61002, Ukraine;(2) Karazin National University, pl. Svobody 4, Kharkov, 61077, Ukraine |
| Abstract: | We found the equilibrium conditions for a self-gravitating toroidal vortex by taking thermal pressure into account. These conditions are shown to significantly differ from those for a disk or 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. |
| Keywords: | self-gravitating toroidal vortex equilibrium conditions gravitational collapse |
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