Abstract
It has been noted that the family of plane electromagnetic waves and the “electromagnetic universe” of Bertotti-Robinson exhaust the entire class of conformally flat Einstein-Maxwell spaces. In the formalism of Newman-Penrose a family of exact solutions of the Einstein-Maxwell equations of the type of Bertotti-Robinson is obtained with a cosmological term belonging to the degenerate type D in the algebraic classification of Petrov and describing the space-time generated by a covariantly constant, nonisotropic electromagnetic field.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 50–55, June, 1979.
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Khlebnikov, V.I. Conformally flat Einstein-Maxwell spaces and some generalizations of them. Soviet Physics Journal 22, 611–615 (1979). https://doi.org/10.1007/BF00891552
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DOI: https://doi.org/10.1007/BF00891552