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Spatially Homogeneous Conformally Stäckel Spaces of Type (3.1)

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Russian Physics Journal Aims and scope

In this work, we have obtained all spatially homogeneous space-time models related to the intersection of the set of Stäckel spaces of type (2.1) and the set of conformally Stäckel spaces of type (3.1). These models allow a complete separation of variables both in the Hamilton-Jacobi equation for massive test particles and in the eikonal equation for radiation. The models obtained in this work relate to wave-like space-time models. For the found models, solutions of the Einstein equations with the cosmological constant and radiation are obtained. For the obtained solutions, the eikonal equation and the equations of motion of massive test particles in the Hamilton-Jacobi form have been integrated.

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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. 51–56, March, 2020.

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Osetrin, E.K., Osetrin, K.E. & Filippov, A.E. Spatially Homogeneous Conformally Stäckel Spaces of Type (3.1). Russ Phys J 63, 403–409 (2020). https://doi.org/10.1007/s11182-020-02050-2

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  • DOI: https://doi.org/10.1007/s11182-020-02050-2

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