A new solution of the Einstein–Maxwell equations

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Abstract
A space–time is determined which is a solution of the Einstein–Maxwell equations for a nonsingular electromagnetic field and for which the electromagnetic field tensor is weakly parallelly propagated along its principal null directions. A coordinate system is given in which the metric depends upon one essential arbitrary constant. The space–time admits a four‐parameter simply transitive group of motions and its Weyl tensor is of Petrov type I.

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