Infinitesimal holonomy groups of Einstein-Maxwell space-times |
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Authors: | C D Collinson P N Smith |
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Institution: | (1) School of Mathematics and Statistics, The University of Hull, Hull, England;(2) A. E. E. Winfrith, Dorchester, Dorset, England |
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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
+
are established using the null tetrad notation. Those conjugacy classes, corresponding to proper subgroups of
+
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. |
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