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The effect of the electromagnetic fields on the evolution of homogeneous cosmological models near the singularity

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Abstract

Homogeneous cosmological models of all Bianchi types with a general (nondiagonal) metric are considered near the singularity. The spaces are filled with an arbitrary sourceless six-component electromagnetic field (EMF) and a perfect fluid at rest. It is shown that in the general case the models of types VI0, VII0, VIII, and IX have an oscillatory regime. The models of all the other types have Kasner asymptotics. The main result of the present paper is the derivation of the law of rotation of the Kasner axes.

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References

  1. Belinksii, V. A., Lifshitz, E. M., and Khalatnikov, I. M. (1970).Usp. Fiz. Nauk,102, 463 [Sov. Phys.-Uspekhi,13, 745 (1971)].

    Google Scholar 

  2. Zel'dovich, Ya. B., and Novikov, I. D. (1967).Relativistskaya Astrophyzika (Russian), Chap.21, Sec. 5. Nauka, Moscow; (1975).Stroenie i Evolutsia Vselennoi (Russian), Chap.19, Sec. 3. Nauka, Moscow.

    Google Scholar 

  3. Fujimoto, M., Kawabata, K., and Sofue, Y. (1971).Suppl. Progr. Theoret. Phys.,49, 11.

    Google Scholar 

  4. Reinhardt, M., and Thiel, M. A. F. (1970).Astrophys. Lett.,1, 101.

    Google Scholar 

  5. Reinhardt, M., and Roberts, M. S. (1972).Astrophys. Lett.,12, 201.

    Google Scholar 

  6. Reinhardt, M. (1972).Astron. Astrophys.,19, 104.

    Google Scholar 

  7. Belinskii, V. A., and Khalatnikov, I. M. (January 1976). Preprint of Landau Institute of Theoretical Physics, USSR, Chernogolovka.

  8. Bogoyavlensky, O. I. (1976).Teor. Mat. Fiz.,27, 184.

    Google Scholar 

  9. Bogoyavlensky, O. I. (1976).Proceedings of Seminar of I. G. Petrovsky, Issue 2, p. 67. Moscow State University Publishers, Moscow (Russian).

    Google Scholar 

  10. Landau, L. D., and Lifshitz, E. M. (1973).Teoria pol'a(Russian). Nauka, Moscow.

    Google Scholar 

  11. Belinskii, V. A., Lifshitz, E. M., and Khalatnikov, I. M. (1970).Zh. Eksp. Teor. Fiz.,60, 1969 [Sov. Phys. JETP,33, 1061 (1971)].

    Google Scholar 

  12. Ruban, V. A. (1978). LIYaF (Leningrad Institute of Nuclear Physics) Preprint No. 411.

  13. Jacobs, K. C. (1969).Astrophys. J.,155, 379.

    Google Scholar 

  14. Hughston, L. P., and Jacobs, K. C. (1970).Astrophys. J.,160, 147.

    Google Scholar 

  15. Ryan, M. (1972).Ann. Phys. (N. Y.),70, 301.

    Google Scholar 

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Spokoiny, B.L. The effect of the electromagnetic fields on the evolution of homogeneous cosmological models near the singularity. Gen Relat Gravit 14, 279–291 (1982). https://doi.org/10.1007/BF00756062

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