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

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

2004-09-03

arxiv.org/abs/astro-ph/0409067v1

Astron.Lett. 29 (2003) 724; Pisma Astron.Zh. 29 (2003) 816

Astronomy and Astrophysics

Astrophysics

11 pages, 4 figures

Scientific paper

10.1134/1.1624458

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 $\gamma < 4/3$ but retains stability for sufficiently high masses and densities determined by the velocity circulation in the vortex.

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