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Nonlinear gravitational waves in plasma

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Abstract

An exact solution is obtained for the relativistic collisionless kinetic equations describing a test plasma in the field of a strong plane gravitational wave. The gravitational wave induces in the plasma a longitudinal electric current whose amplitude is maximum at temperatures Te ip mec2. The interaction of gravitational waves with a system consisting of Boltzmann ions and degenerate electrons is also considered.

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Literature cited

  1. N. A. Chernikov, Preprint P-1028, Obed. Inst. Yadern. Issled. (1962).

  2. N. A. Chernikov, Preprint P-1159, Obed. Inst. Yadern. Issled (1962).

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

    Google Scholar 

  4. Yu. G. Ignat'ev, in: Gravitation and the Theory of Relativity [in Russian], Vol. 14, Kaz. Gos. Univ. Press, Kazan (1979), p. 90.

    Google Scholar 

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

    Google Scholar 

  6. Yu. G. Ignat'ev, in: Gravitation and the Theory of Relativity [in Russian], Vol. 12, Kaz. Gos. Univ. Press, Kazan (1976), p. 73.

    Google Scholar 

  7. Yu. G. Ignat'ev and A. V. Zakharov, Phys. Lett.,66A, 3 (1978).

    Google Scholar 

  8. A. V. Zakharov, in: Gravitation and the Theory of Relativity [in Russian], Vol. 16, Kaz. Gos. Univ. Press, Kazan (1979), p. 37.

    Google Scholar 

  9. Yu. G. Ignat'ev and A. Z. Fazleeva, Ukr. Fiz. Zh.,26, No. 1 (1981).

  10. C. Misner, K. Thorne, and J. Wheeler, Gravitation [Russian translation], Vol. 3, Mir, Moscow (1977).

    Google Scholar 

  11. L. D. Landau and E. M. Lifshits, Theory of Fields [in Russian], Nauka, Moscow (1973).

    Google Scholar 

  12. Yu. G. Ignat'ev, Ukr. Fiz. Zh.,21, No. 12 (1976).

  13. A. V. Zakharov and Yu. G. Ignat'ev, in: Gravitation and the Theory of Relativity [in Russian], Vol. 13, Kaz. Gos. Univ. Press, Kazan (1977), p. 49.

    Google Scholar 

  14. Yu. G. Ignat'ev, in: Gravitation and the Theory of Relativity [in Russian], Vol. 17, Kaz. Gos. Univ. Press, Kazan (1980), p. 56.

    Google Scholar 

  15. V. L. Ginzburg and A. A. Rukhadze, Waves in Magnetically Active Plasma [in Russian], Nauka, Moscow (1970).

    Google Scholar 

  16. V. P. Silin and A. A. Rukhadze, Electromagnetic Properties of Plasma and Plasmalike Media [in Russian], Gosatomizdat, Moscow (1961).

    Google Scholar 

  17. A. N. Golubyatnikov, in: Problems in the Theory of Gravitation and Elementary Particles [in Russian], Vol. 10, Atomizdat, Moscow (1979), p. 169.

    Google Scholar 

  18. L. D. Landau and E. M. Lifshits, Statistical Physics [in Russian], Nauka, Moscow (1962).

    Google Scholar 

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Authors and Affiliations

  1. V. I. Ulyanov (Lenin) Kazan State University, USSR

    Yu. G. Ignat'ev & A. B. Balakin

Authors
  1. Yu. G. Ignat'ev
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  2. A. B. Balakin
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 20–24, July 1981.

The authors thank G. G. Ivanov for a number of valuable comments.

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Ignat'ev, Y.G., Balakin, A.B. Nonlinear gravitational waves in plasma. Soviet Physics Journal 24, 593–597 (1981). https://doi.org/10.1007/BF00893887

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  • DOI: https://doi.org/10.1007/BF00893887

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