Ricci and Maxwell collineations in a null electromagnetic field

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Abstract
It has been shown that Synge's metric representing null electromagnetic field admits proper Ricci collineation. The space-time admits curvature collineation in special cases and the CC vectors are obtainable from the RC vector by an appropriate choice of the arbitrary quantities involved. When the RC vector is constrained to give motion the space-time permits 5-, 6- and 7-parameter groups of motions in the different cases considered. It is found that the space-time admits Maxwell and Ricci collineations along common directions in special cases for which both the conservation laws are satisfied.