Conformally-flat models of space-time that admit privileged coordinate systems allowing complete separation of variables in the Hamilton–Jacobi equation of type (2.0) are considered. An explicit form of metrics for the given spaces is derived in the privileged coordinate systems. Models with dust matter and cosmological constant are constructed for the metrics obtained.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 73–78, October, 2012.
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Osetrin, K.E., Filippov, A.E. Conformally-flat Stäckel spaces of type (2.0). Russ Phys J 55, 1183–1189 (2013). https://doi.org/10.1007/s11182-013-9941-7
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DOI: https://doi.org/10.1007/s11182-013-9941-7