The equilibrium magnetized disks

Analytical solutions are obtained for gravitational and magnetic fields at given distributions of area matter density and surface currents.Numerical solutions ae obtained for a magnetized non-rotating disk, the equilibrium of which is governed by the balance of magnetic and gravitational forces. The models are shown to be unsable against short-wave perturbations. Pressure can make a small contribution (of the order of a few percent) towards stabilizng the disk against short-wave perturbations. Such disks may appear in some galactic nuclei.