Abstract
A local characterization of Schwarzschild and Reissner metrics is made by using the concepts of infinitesimal null anisotropy (or equivalently, infinitesimal isotropy) and weak affinity.
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García-Río, E., Kupeli, D.N. A local characterization of Schwarzschild and Reissner metrics. Gen Relat Gravit 26, 1233–1248 (1994). https://doi.org/10.1007/BF02106715
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DOI: https://doi.org/10.1007/BF02106715