Abstract
Solutions of the Einstein-Maxwell equations for static charged dust are discussed. Contrary to what has been asserted earlier it is found that cylindrically symmetric and plane symmetric solutions with the following properties, exist: (a) They are regular in the interior region; (b) the mass density is positive and vanishes at the boundary; (c) the metric, its first derivate, and the electrical field strength are continuous at the boundary; (d) the solutions are mirror symmetric in the plane symmetric case.
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Grøn, Ø. Static charged dust in general relativity. Gen Relat Gravit 17, 649–658 (1985). https://doi.org/10.1007/BF00763025
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DOI: https://doi.org/10.1007/BF00763025