Abstract
The field equations for a stationary cylindrically symmetric electrovac space-time, having a space-like hypersurface-orthogonal Killing field, are rederived using the Kinnersley-Chitre formalism, using the additional assumption that the only surviving components of the electromagnetic potential are At(r) and Aphi (r). New families of solutions are presented for a non-null electromagnetic field. One particular family can be completely described in terms of Painleve transcendents. The resulting space-times are not static. All possible locally static cylindrically symmetric Einstein-Maxwell solutions of the considered type are listed.
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