Nonsymmetric Steady Shapes of Conducting Envelopes of Magnetic Stars

A dynamic model of a magnetized perfectly conducting envelope without internal stresses was previously proposed for the case when the envelope was maintained by a radial hypersonic stellar wind in a given gravitational field and in a given dipole magnetic field. The dynamic equilibrium problem for an axisymmetric rotating envelope is considered on the basis of this model. The surface density and the angular velocity are assumed to be constant. The edge-free solutions nonsymmetric with respect to the equatorial plane are found. The bottle-like shapes going to infinity are studied numerically.