Rotating spherical magnetic stars

In the MHD approximation, an exact solution is obtained for a model of a rotating spherical star with a magnetic field. The relationship between the gravitational field, angular momentum, internal magnetic field, and dipole moment of an external magnetic field is dependent on the radial mode of the current distribution, which is described by a single dimensionless parameter. The magnitude of a magnetic field confined by the star is limited by the requirement of the existence of an equilibrium configuration with a pressure vanishing at the spherical surface r = R.