Infinitesimal holonomy groups of Einstein-Maxwell space-times.

Physics

Scientific paper

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Gravitation Theory:Space-Time

Scientific paper

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 ℒ{+/↑} are established using the null tetrad notation. Those conjugacy classes, corresponding to proper subgroups of ℒ{+/↑} 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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