In a recent paper we obtained exact exterior and matching interior sta
tionary axially symmetric solutions of the Einstein-Maxwell field equa
tions for a rigidly rotating charged dust with vanishing Lorentz force
. The solutions were expressed in terms of only one of the zeros of th
e Bessel function J(0). The main aims of this work are to base the ext
erior and interior solutions on all the infinite number of. zeros of J
(0), prove the non-existence of timelike hypersurface-orthogonal Killi
ng vectors and that, under a certain condition, the electrovacuum exte
riors contain regions with closed timelike lines.