Abstract
The known symmetry of the non-null electromagnetic field, which acts as the source of a four-dimensional space-time satisfying the Einstein-Maxwell equations, is used to show that when such a space-time admits a group of motions, generated by a Killing vector, the structure constants for the group must satisfy an additional relation to the known relations of group theory.
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Woolley, M.L. The structure of groups of motions admitted by Einstein-Maxwell space-times. Commun.Math. Phys. 31, 75–81 (1973). https://doi.org/10.1007/BF01645590
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DOI: https://doi.org/10.1007/BF01645590