Exact solutions of the aspherical axisymmetric gravo-magnetic condensation

Laboratoire 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.