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Cosmological solution of the Einstein—Weyl equation

  • Physics of Elementary Particles and Field Theory
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Russian Physics Journal Aims and scope

Abstract

The accurate integration of the Einstein—Weyl field equations is considered for the case when the spinor field depends only on the time, while the metric specifies a uniform space—time of type I in the Bianci classification, i.e., a particular case of a Steckel space of type (3.0).

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References

  1. W. Patrick,J. Math. Phys.,32, 231 (1991).

    Article  MathSciNet  MATH  Google Scholar 

  2. W. Patrick,Phys. Lett.,147, 435 (1990).

    Article  Google Scholar 

  3. V. N. Shapovalov,Izv. Vyssh. Uchebn. Zaved., Fiz., No. 6, 57 (1975).

    Google Scholar 

  4. B. Carter and R. G. McLenaghan,Phys. Rev. D,19, 1093 (1979).

    Article  MathSciNet  ADS  Google Scholar 

  5. N. Kamran and R. G. McLenaghan,J. Math Phys.,25, 1010 (1984).

    Article  ADS  Google Scholar 

  6. E. G. Kalnins, W. J. Miller, and G. C. Williams,J. Math Phys.,27, 1893 (1986).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  7. G. Torres del Castillo,J. Math Phys.,27, 2756 (1986).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  8. N. A. Chernikov and N. S. Shavokhina,Acta Phys. Pol. B,20, 177 (1990).

    MathSciNet  Google Scholar 

  9. S. D. Odintsov,Forschr. Phys.,39, 621 (1991).

    MathSciNet  ADS  Google Scholar 

  10. V. G. Bagrov, A. V. Shapovalov, and A. A. Yevseyevich,Class. Quant. Grav.,7, 517 (1990).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  11. V. G. Bagrov and V. V. Obukhov,J. Math. Phys.,33, 2279 (1992).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  12. V. G. Bagrov and V. V. Obukhov,Int. J. Mod. Phys. D,3, 739 (1994).

    Article  MathSciNet  ADS  Google Scholar 

  13. V. G. Bagrov, V. V. Obukhov, and A. V. Shapovalov,Pramana J. Phys.,26, 93 (1986).

    Article  ADS  Google Scholar 

  14. V. G. Bagrov and V. V. Obukhov,Teor. Mat. Fiz.,97, 250 (1992).

    MathSciNet  Google Scholar 

  15. V. N. Shapovalov,Sib. Mat. Zh.,20, 1117 (1979).

    MATH  MathSciNet  Google Scholar 

  16. V. G. Bagrov, V. V. Obukhov, and K. E. Osetrin,Gen. Relat. Grav.,20, 1141 (1988).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  17. V. G. Bagrov and V. V. Obukhov,Ann. der Phys.,40, No. 4-5, 181 (1983).

    MATH  MathSciNet  ADS  Google Scholar 

  18. B. Carter,Phys. Lett.,A26, 399 (1968).

    ADS  Google Scholar 

Download references

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Additional information

Tomsk State Pedagogical University. Tomsk State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 69–78, November, 1998.

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Makarenko, A.N., Obukhov, V.V. Cosmological solution of the Einstein—Weyl equation. Russ Phys J 41, 1124–1133 (1998). https://doi.org/10.1007/BF02514491

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  • DOI: https://doi.org/10.1007/BF02514491

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