Magnetic support against gravitational collapse: A static axisymmetric interior solution of the Einstein-Maxwell equations

It is shown that gravitationally collapsed bounded systems which are too massive to be supported by their pressure may be held in equilibrium by self-induced magnetic stresses. A three-parameter family of solutions of the static axisymmetric interior Einstein-Maxwell equations is derived which describes matter distributions that are solely balanced by magnetic forces. The mass and the magnetic moment associated with these systems are then determined directly from the exterior field equations and the appropriate fluxes at the boundary of each system's interior. Some physical implications of the derived solutions - none of which contain a singularity or an event horizon - have also been discussed.