Self-similar condensation of rotating magnetized self-gravitating isothermal filaments

Details Self-similar condensation of rotating magnetized self-gravitating isothermal filaments Self-similar condensation of rotating magnetized self-gravitating isothermal filaments

2002-10-18

arxiv.org/abs/astro-ph/0210422v1

Astron.Astrophys. 397 (2003) 381-392

Astronomy and Astrophysics

Astrophysics

Accepted for publication in A&A

Scientific paper

10.1051/0004-6361:20021526

Ordinary differential equations describing the self-similar collapse of a rotating, magnetized, self-gravitating and isothermal filament are derived. Explicit homologous solutions are studied with special emphasis on the bifurcation that occurs at the magnetosonic critical point. It is shown that there is a critical value for the toroidal magnetic field slope at the origin above which no bifurcation occurs, the solution remains homologous, and below which the density and the poloidal magnetic field tend to zero at large radius (envelope) whereas the toroidal magnetic field and azimuthal velocity relax towards a constant value. A series of spatial profiles of density, velocity and magnetic field, potentially useful for comparison with numerical or observational studies, is obtained numerically and discussed.

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