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Infinitesimal holonomy groups of Einstein-Maxwell space-times
Authors:C D Collinson  P N Smith
Institution:(1) School of Mathematics and Statistics, The University of Hull, Hull, England;(2) A. E. E. Winfrith, Dorchester, Dorset, England
Abstract:Some general results concerning the Petrov classification of the Weyl tensor of space-times whose infinitesimal holonomy group belongs to a given conjugacy class of the Lorentz group Lscr + uarr are established using the null tetrad notation. Those conjugacy classes, corresponding to proper subgroups of Lscr + uarr which contain the infinitesimal holonomy groups of Einstein-Maxwell space-times, are determined, and explicit examples of such space-times are given for each conjugacy class.
Keywords:
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