A classification of metrics and electromagnetic potentials is carried out for the case when the Hamilton–Jacobi equation admits a complete separation of variables in a space with a complete set consisting of one vector and two tensor Killing fields. The classification is supplemented by solution of the vacuum Maxwell equations.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 21–25, July, 2020.
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Obukhov, V.V. Integration of the Hamilton–Jacobi and Maxwell Equations in Diagonal Metrics of Stäckel Spaces. Russ Phys J 63, 1126–1132 (2020). https://doi.org/10.1007/s11182-020-02169-2
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DOI: https://doi.org/10.1007/s11182-020-02169-2