Abstract
Five-dimensional unified theory is utilized to obtain conventional electrovacuum solutions with the aid of transformation of five coordinates. Necessary and sufficient conditions are derived to obtain a solution with electromagnetic field from the four-dimensional vacuum metric. All permissible vacuum metrics and the electrovacuum solutions which they produce are presented.
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T. Kalutsa, in: Albert Einstein and the Theory of Gravitation [Russian translation], Mir, Moscow (1979), p. 529.
P. Bergmann, Introduction to the Theory of Relativity [Russian translation], Inostr. Lit., Moscow (1947).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 91–94, September, 1981.
In conclusion, the author wishes to thank Yu. S. Vladimirov for his valuable advice and support.
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Roslyi, A.A. Application of five-dimensional field theory for determination of exact solutions of the standard Einstein-Maxwell equations. Soviet Physics Journal 24, 866–869 (1981). https://doi.org/10.1007/BF00891338
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DOI: https://doi.org/10.1007/BF00891338