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Conformally-flat Stäckel spaces of type (2.0)

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Russian Physics Journal Aims and scope

Conformally-flat models of space-time that admit privileged coordinate systems allowing complete separation of variables in the Hamilton–Jacobi equation of type (2.0) are considered. An explicit form of metrics for the given spaces is derived in the privileged coordinate systems. Models with dust matter and cosmological constant are constructed for the metrics obtained.

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References

  1. V. G. Bagrov, V. V. Obukhov, and K. E. Osetrin, in: Gravity, Particles and Space-Time, World Scientific, Singapore; New Jersey; London; Hong Kong (1996), pp. 1–18.

  2. V. V. Obukhov, A. N. Makarenko, K. E. Osetrin, and Yu. A. Rybalov, Gravit. Cosmol., No. 1, 104–108 (2008).

  3. K. E. Osetrin, V. V. Obukhov, and A. E. Filippov, J. Phys., A39, No. 21, 6641–6647 (2006).

    MathSciNet  ADS  Google Scholar 

  4. A. N. Makarenko and V. V. Obukhov, Exact Solutions in Modified Gravity Models//arXiv:1207.0589, 2012.

  5. I. V. Kirnos, A. N. Makarenko, and K. E. Osetrin, Gravit. Cosmol., 15, No. 1, 59–61 (2009).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. A. N. Makarenko, V. V. Obukhov, and I. V. Kirnos, From Big to Little Rip in Modified F(R, G) Gravity//arXiv:1201.4742, 2012.

  7. E. Elizalde, R. Myrzakulov, V. V. Obukhov, and D. Saez-Gomez, Class. Quant. Grav., 27, 095007 (2010).

    Article  MathSciNet  ADS  Google Scholar 

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Correspondence to K. E. Osetrin.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 73–78, October, 2012.

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Osetrin, K.E., Filippov, A.E. Conformally-flat Stäckel spaces of type (2.0). Russ Phys J 55, 1183–1189 (2013). https://doi.org/10.1007/s11182-013-9941-7

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  • DOI: https://doi.org/10.1007/s11182-013-9941-7

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