Abstract
In this work we integrate Einstein-Maxwell equations for a point charge, in a coordinate system first considered by Lake. The family of solutions obtained includes various well known metrics. A free metric function acting as a gauge in the solution, is related to the Lorentz contraction factor in infinity, considering a set of geodesic frames.
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Patiño, A., Rago, H. A family of Coordinate Systems for Reissner-Nordstrom Geometry. Astrophysics and Space Science 278, 305–309 (2001). https://doi.org/10.1023/A:1013186929820
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DOI: https://doi.org/10.1023/A:1013186929820