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Kinetics of small disturbances in an isotropic universe I. Derivation of the equations for the disturbances

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Abstract

Gravitational disturbances in an isotropic cosmological model are considered within the bounds of relativistic kinetic theory. It is assumed that the collision frequency of the particles of the medium is much smaller than the frequency of the disturbances being studied. Equations are obtained for scalar, vector, and tensor disturbances in the case where the undisturbed solution describes a flat, isotropic cosmological model.

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Literature cited

  1. E. M. Lifshits, Zh. Éksp. Teor. Fiz.,16, 587 (1946).

    Google Scholar 

  2. E. M. Lifshits and I. M. Khalatnikov, Usp. Fiz. Nauk,80, 391 (1963).

    Google Scholar 

  3. G. S. Bisnovatyi-Kogan and Ya. B. Zel'dovich, Astron. Zh.,47, 949 (1970).

    Google Scholar 

  4. V. B. Magalinskii, Astron. Zh.,49, 1017 (1972).

    Google Scholar 

  5. V. V. Sil'vestrov, Astron. Zh.,51, 293 (1974).

    Google Scholar 

  6. V. I. Bashkov, Candidate's Dissertation, Kazan (1972).

  7. A. G. Polnarev, Zh. Éksp. Teor. Fiz.,62, 1598 (1972).

    Google Scholar 

  8. D. Chesters, Phys. Rev. D,7, No. 10, 2863 (1973).

    Google Scholar 

  9. Yu. G. Ignat'ev, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 12, 136 (1974).

    Google Scholar 

  10. A. V. Zakharov and Yu. G. Ignat'ev, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 9, 57 (1976).

    Google Scholar 

  11. E. Asseo, D. Gerbal, J. Heyvaerts, and M. Signore, Phys. Rev. D,13, No. 10, 2724 (1976).

    Google Scholar 

  12. N. A. Chernikov, Preprint P-1159, Joint Institute for Nuclear Research, Dubna (1962).

    Google Scholar 

  13. N. A. Chernikov, Preprint P-1028, Joint Institute for Nuclear Research, Dubna (1962).

    Google Scholar 

  14. S. R. DeGroot, C. G. Van Weert, W. T. Hermens, and W. A. Wan Leeuwen, Physica,40, 257 (1968).

    Google Scholar 

  15. A. A. Vlasov, Statistical Distribution Functions [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  16. A. A. Vlasov, Zh. Éksp. Teor. Fiz.,8, 291 (1938).

    Google Scholar 

  17. J. Ehlers, P. Gear, and R. K. Sachs, J. Math. Phys.,9, 1344 (1968).

    Google Scholar 

  18. L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields, Pergamon, Oxford (1975).

    Google Scholar 

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 30–35, March, 1978.

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Zakharov, A.V. Kinetics of small disturbances in an isotropic universe I. Derivation of the equations for the disturbances. Soviet Physics Journal 21, 289–294 (1978). https://doi.org/10.1007/BF00894719

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  • DOI: https://doi.org/10.1007/BF00894719

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