Abstract
In a recent paper we obtained exact exterior and matching interior stationary axially symmetric solutions of the Einstein - Maxwell field equations for a rigidly rotating charged dust with vanishing Lorentz force. The solutions were expressed in terms of only one of the zeros of the Bessel function . The main aims of this work are to base the exterior and interior solutions on all the infinite number of zeros of , prove the non-existence of timelike hypersurface-orthogonal Killing vectors and that, under a certain condition, the electrovacuum exteriors contain regions with closed timelike lines.
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