The symmetries of non-null Einstein-Maxwell solutions with perfect fluid

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Electromagnetic Fields, Ideal Fluids, Maxwell Equation, Relativity, Space-Time Functions, Unified Field Theory, Cosmology, Einstein Equations, Symmetry, Vacuum

Scientific paper

McIntosh (1978, 1979) has considered the question of whether the metric symmetries of Einstein-Maxwell solutions, as exemplified by the Killing vectors and homothetic vectors of the spacetime, are inherited by the electromagnetic field. He classifies into two types those Einstein-Maxwell solutions which have a metric possessing a symmetry not inherited by the electromagnetic field and which admit a homothetic field. The present investigation is primarily concerned with the problem of finding noninheriting nonnull electromagnetic field plus perfect fluid solutions and, in particular, the fluid generalizations of the nonnull electrovac solutions in McIntosh's table. A generalization of the metric which contains five classes of such solutions is presented. Two of these solutions contain electrovac solutions as special cases, while the other three classes necessarily contain fluid.

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