Abstract
Following the technique of Müller zum Hagen (Proc. Camb. Phil. Soc. 67: 415–421, 1970) we show that strictly static and strictly stationary solutions of the Einstein–Maxwell equations are analytic in harmonic coordinates. This holds whether or not the Maxwell field inherits the symmetry.
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Tod, P. Analyticity of strictly static and strictly stationary, inheriting and non-inheriting Einstein–Maxwell solutions. Gen Relativ Gravit 39, 1031–1042 (2007). https://doi.org/10.1007/s10714-007-0436-0
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DOI: https://doi.org/10.1007/s10714-007-0436-0