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Stekkel space of electrovacuum with isotropic complete sets of the type (1.1)

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Abstract

A complete classification of the Stekkel spaces of the electrovacuum, admitting one isotropic Killing vector field and two Killing tensor fields, is presented. All solutions of the Einstein-Maxwell equations found refer to the Petrov type N.

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Literature cited

  1. 1.

    V. G. Bagrov et al., Izv. Vyssh. Uchebn. Zaved., Fiz., No. 5, 17 (1987).

  2. 2.

    V. G. Bagrov et al., Izv. Vyssh. Uchebn. Zaved., Fiz., No. 12, 17 (1987).

  3. 3.

    V. G. Bagrov and V. V. Obukhov, Ann. Phys.,40, 181 (1983)

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 79–83, October, 1988.

In conclusion we note that all solutions presented above are of the Petrov type N.

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Bagrov, V.G., Obukhov, V.V. & Osetrin, K.E. Stekkel space of electrovacuum with isotropic complete sets of the type (1.1). Soviet Physics Journal 31, 837–840 (1988). https://doi.org/10.1007/BF00920130

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Keywords

  • Vector Field
  • Killing Vector
  • Tensor Field
  • Complete Classification
  • Killing Vector Field