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A&A 378, 214-227 (2001)
DOI: 10.1051/0004-6361:20011187
Exact solutions of the aspherical axisymmetric gravo-magnetic condensation
P. HennebelleLaboratoire de radioastronomie millimétrique, UMR 8540 du CNRS, École normale supérieure et Observatoire de Paris, 24 rue Lhomond, 75231 Paris Cedex 05, France
Department of Physics and Astronomy, Cardiff University, PO Box 913, 5 The Parade, Cardiff CF24 3YB, Wales, UK
(Received 27 February 2001 / Accepted 8 August 2001 )
Abstract
We find exact and explicit self-similar 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 out of a collapsing cloud with
aspherical pressure,
aspherical gravitational 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.
Key words: accretion, accretion disks -- gravitation -- hydrodynamics -- magnetohydrodynamics (MHD) -- ISM: clouds
© ESO 2001
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