On the analyticity of certain stationary nonvacuum Einstein space-times

Mathematics – Mathematical Physics

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It is shown that certain nonvacuum solutions of Einstein's general relativistic field equations are analytic space-times, i.e., an analytic atlas exists with respect to which the components of the metric tensor, and all material fields are analytic functions. The two specific cases discussed here are interesting from an astrophysical point of view. The first is the class of space-times containing a source free electromagnetic field: the exterior of a charged black hole, for example. The second is the class of space-times filled with a rigidly moving perfect fluid, often used to describe the interior of a rotating star.

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