Are Very Large Gravitational Redshifts Possible?

Solutions of the Einstein–Maxwell equations exist for charged dust in equilibrium under its own gravitational attraction and electrical repulsion. We use these to construct solutions for a sphere and a spheroid. In both cases arbitrarily large gravitational redshifts are possible, but as the spheroid shrinks to a disc, the redshift remains finite. One of the solutions shows clearly how a horizon filters out non-spherically symmetric fields.