Soviet Physics Journal

, Volume 17, Issue 12, pp 1700–1704 | Cite as

The creation of particles from a vacuum in a nonsteady isotropic universe

  • A. A. Grib
  • S. G. Mamaev
  • V. M. Mostepanenko
Article

Abstract

The paper considers the creation of particles from a vacuum in a closed, open, and quasi-Euclidean Friedmann model. Finite general expressions are obtained for the density of the number of pairs created, and also new analytical estimates are given of the intensity of processes of creation at different stages of evolution of the universe.

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Literature cited

  1. 1.
    D. D. Ivanenko and A. A. Sokolov, Vestnik Mosk. Gos. Univ., No. 8, 103 (1947).Google Scholar
  2. 2.
    D. D. Ivanenko and A. A. Sokolov, Classical Field Theory [in Russian], GITTL, Moscow-Leningrad (1949).Google Scholar
  3. 3.
    A. A. Sokolov and D. D. Ivanenko, Quantum Field Theory [in Russian], GITTL, Moscow-Leningrad (1952).Google Scholar
  4. 4.
    J. Schwinger, Phys. Rev.,82, 664 (1951).Google Scholar
  5. 5.
    Ya. B. Zel'dovich and V. S. Popov, Usp. Fiz. Nauk,105, 403 (1971).Google Scholar
  6. 6.
    A. I. Nikishov, Zh. Éksperim. i Teor. Fiz.,57, 1210 (1969).Google Scholar
  7. 7.
    A. A. Grib, V. M. Mostepanenko, and V. M. Frolov, Teor. i Matem. Fiz.,13, 377 (1972).Google Scholar
  8. 8.
    A. M. Perelomov, Teor. i Matem. Fiz.,16, 303 (1973).Google Scholar
  9. 9.
    K. P. Stanyukovich, Gravitational Field and Elementary Particles [in Russian], Nauka, Moscow (1965); Thesis of Reports at the Third Soviet Gravitation Conference [in Russian], Erevan, 365 (1972).Google Scholar
  10. 10.
    L. Parker, Phys. Rev.,183, 1057 (1969); 3D, 346 (1971); 5D, 2905 (1972).Google Scholar
  11. 11.
    Ya. B. Zel'dovich and A. A. Starobinskii, Zh. Éksperim. i Teor. Fiz.,61, 2161 (1971).Google Scholar
  12. 12.
    A. A. Grib and S. G. Mamaev, Yad. Fiz.,10, 1276 (1969);14, 800 (1971).Google Scholar
  13. 13.
    A. A. Grib, B. A. Levitskii, and V. M. Mostepanenko, Teor. i Matem. Fiz.,19, 59 (1974).Google Scholar
  14. 14.
    V. A. Fock, Theory of Space, Time, and Gravity [Russian translation], GITTL, Moscow (1955).Google Scholar
  15. 15.
    N. A. Chernikov and E. A. Tagirov, Ann. Inst. Henri Poincaré,9, 109 (1968).Google Scholar
  16. 16.
    N. N. Bogolyubov and D. V. Shirkov, Introduction to the Theory of Quantum Fields [in Russian], GITTL, Moscow (1975).Google Scholar
  17. 17.
    J. Ch. P. Miller, Tables of Weber Functions (Russian translation], Izd. Vychis. Tsentr. Akademii Nauk SSSR, Moscow (1968).Google Scholar

Copyright information

© Plenum Publishing Corporation 1976

Authors and Affiliations

  • A. A. Grib
    • 1
    • 2
  • S. G. Mamaev
    • 1
    • 2
  • V. M. Mostepanenko
    • 1
    • 2
  1. 1.A. A. Zhdanov Leningrad State UniversityUSSR
  2. 2.V. I. Ul'yanov-Lenin Electrotechnical InstituteLeningrad

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