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Some classes of exact solutions of the Einstein equation

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Abstract

The problem is formulated in this article of finding all Einstein spaces in which the equations of the geodesics admit a complete separation of variables. The problem is completely solved in the case of the interval ds2=gijdxidxj i=0,...3, being quadratic in the differentials of the acyclic coordinates xν ν=2, 3, and it is shown that this kind of space can be subdivided into five classes.

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Literature cited

  1. V. G. Bagrov, A. G. Meshkov, V. N. Shapovalov, and A. V. Shapovalov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 11, 66 (1973).

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Authors and Affiliations

  1. V. V. Kuibyshev Tomsk State University, USSR

    V. V. Obukhov

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  1. V. V. Obukhov
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 73–77, February, 1977.

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Obukhov, V.V. Some classes of exact solutions of the Einstein equation. Soviet Physics Journal 20, 198–201 (1977). https://doi.org/10.1007/BF01297384

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  • DOI: https://doi.org/10.1007/BF01297384

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