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Spatially Homogeneous Models Stäckel Spaces of Type (2.1)

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Russian Physics Journal Aims and scope

All classes of spatially homogeneous space-time models have been found that allow the integration of the equations of motion of test particles and of the eikonal equation by the method of complete separation of variables according to type (2.1). Four classes of models are obtained that can be applied in any modified metric theory of gravity. Two of them allow solutions of the Einstein equations with a cosmological constant and radiation. For the obtained solutions, the Hamilton–Jacobi equation of motion of test particles and the eikonal equation for radiation are integrated by the method of variable separation.

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Authors and Affiliations

  1. Tomsk State Pedagogical University, Tomsk, Russia

    E. K. Osetrin, K. E. Osetrin & A. E. Filippov

Authors
  1. E. K. Osetrin
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  2. K. E. Osetrin
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  3. A. E. Filippov
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Correspondence to E. K. Osetrin.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 57–64, March, 2020.

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Osetrin, E.K., Osetrin, K.E. & Filippov, A.E. Spatially Homogeneous Models Stäckel Spaces of Type (2.1). Russ Phys J 63, 410–419 (2020). https://doi.org/10.1007/s11182-020-02051-1

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  • DOI: https://doi.org/10.1007/s11182-020-02051-1

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