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Russian Physics Journal

, Volume 52, Issue 1, pp 15–24 | Cite as

A dynamic model of spherical perturbations in the Friedmann universe. III. Self-similar solutions

  • Yu. G. Ignat’ev
  • N. El’makhi
Article
  • 20 Downloads

A class of exact spherically symmetrical retarded self-similar solutions linearized around the Friedmann background of the Einstein equations is derived and examined for an ideal liquid with an arbitrary barotropy index.

Keywords

gravitation theory cosmology spherical perturbation theory boundary value problem 

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References

  1. 1.
    Yu. G. Ignat’ev and N. Elmakhi, Russ. Phys. J., No. 1, 74–88 (2008).Google Scholar
  2. 2.
    Yu. G. Ignat’ev and N. Elmakhi, Russ. Phys. J., No. 7, 735–745 (2008).Google Scholar
  3. 3.
    Yu. G. Igna’ev and A. A. Popov, The Problems of Gravitation Theory, Relativistic Kinetics, and Evolution of the Universe [in Russian], Izd. KGPI, Kazan, 1988.Google Scholar
  4. 4.
    Yu. G. Ignat’ev and A. A. Popov, Russ. Phys. J., No. 5, 391–394 (1989).Google Scholar
  5. 5.
    Yu. G. Ignat’ev and A. A. Popov, Astrophysics and Space Science, 163, 153–174 (1990).CrossRefADSGoogle Scholar
  6. 6.
    Yu. G. Ignat’ev and A. A. Popov, Phys. Lett. A, 220, 22–29 (1996).MATHCrossRefADSMathSciNetGoogle Scholar
  7. 7.
    N. N. Lebedev, Special Functions and Their Applications [in Russian], Gos. Izd. Fiz. Mat. Lit., Moscow, 1963.Google Scholar
  8. 8.
    A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series. Additional Chapters [in Russian], Nauka, Moscow, 1986.Google Scholar

Copyright information

© Springer Science+Business Media, Inc. 2009

Authors and Affiliations

  1. 1.Tatar State Humanitarian-Pedagogical UniversityKazanRussia

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