The general solution to Einstein-Maxwell equations with plane symmetry

Abstract
The general solution to Einstein‐Maxwell equations with plane symmetry is obtained. This solution has an extra Killing vector ξa not assumed a priori. The solution may be classified in two classes depending on the sign of an integration constant. The first class depends only on the time; ξa is spacelike. In the second class ξa is spacelike, lightlike, and timelike in different regions like Schwarzschild's metric.

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