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The equilibrium magnetized disks

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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.

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Bisnovatyi-Kogan, G.S., Seidov, Z.F. The equilibrium magnetized disks. Astrophys Space Sci 115, 275–294 (1985). https://doi.org/10.1007/BF00653806

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  • Magnetic Field
  • Matter Density
  • Gravitational Force
  • Small Contribution
  • Surface Current