Abstract
The integration of the Einstein-Maxwell equations for an anisotropic charged fluid sphere acting as a source of the Reissner-Nordström metric is considered, under the assumption of a conformally flat interior metric. The solutions asymptotically tend to static configurations. In the isotropic pressure limiting case, the non-static solutions are found to be incompatible with charged models.
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Melfo, A., Rago, H. Conformally flat solutions to the Einstein-Maxwell equations. Astrophys Space Sci 193, 9–15 (1992). https://doi.org/10.1007/BF01070196
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DOI: https://doi.org/10.1007/BF01070196