Exact solutions of the aspherical axisymmetric gravo-magnetic condensation

Abstract

We find exact and explicit solutions of the axisymmetric MHD equations of a self-gravitating polytropic gas. These solutions are able to describe a flat (uniform density) subsonic internal core, contracting homologously, of a collapsing cloud with aspherical pressure, aspherical gravitationnal potential, magnetic field and rotation. Two of the solutions describing the collapse of a rotating and magnetized cloud present outflow at the pole or at the equator.

30 pages, 7 figures, to be published in A&A

Cited by in corpus (4)

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• Self-similar condensation of rotating magnetized self-gravitating isothermal filaments
• Semi-analytical homologous solutions of the gravo-magnetic contraction
• A Local Model for the Spherical Collapse/Expansion Problem