Slowly rotating bodies with arbitrary charge in general relativity

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Abstract
The Einstein-Maxwell equations are solved for a slowly rotating body with arbitrary charge. The solution is applied to a thin, rotating, charged shell. The angular momentum, gyromagnetic ratio, and other quantities of physical interest are computed. In particular, whenever the charge is less than the mass (but not necessarily small) the gyromagnetic ratio approaches 2 as the shell radius approaches the horizon. Under these conditions the rotational velocity of the inertial frames inside the shell approaches the rotational velocity of the shell. When the charge is greater than the mass there is no horizon and the gyromagnetic ratio can exceed 2. Furthermore, an example is given in which the inertial frames within the shell rotate in a direction opposite that of the shell.

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