Gravitational collapse is impossible in the relativistic theory of gravity

  • S. S. Gershtein
  • A. A. Logunov
  • M. A. Mestvirishvili
Article
First Online:
Received:

Abstract

We show that according to the relativistic theory of gravity, a dust ball pulsates in time in the absence of dissipation. Hence, collapse is impossible.

Keywords

relativistic collapse black hole general relativity relativistic theory of gravity 
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References

  1. 1.
    J. R. Oppenheimer and H. Snyder, Phys. Rev., 56, 455–459 (1939).MATHCrossRefADSGoogle Scholar
  2. 2.
    B. K. Harrison, K. S. Thorne, M. Wakano, and J. A. Wheeler, Gravitation Theory and Gravitational Collapse, Univ. of Chicago Press, Chicago (1965).Google Scholar
  3. 3.
    A. Einstein, Ann. of Math. (2), 40, 922–936 (1939).CrossRefMathSciNetGoogle Scholar
  4. 4.
    R. P. Feynman, Feynman Lectures on Gravitation (Based on notes by F. B. Morinigo and W. G. Wagner and edited by B. Hatfield), Addison-Wesley, Reading, Mass. (1995).Google Scholar
  5. 5.
    A. A. Logunov, Relativistic Theory of Gravity [in Russian], Nauka, Moscow (2006).Google Scholar
  6. 6.
    A. A. Logunov and M. A. Mestvirishvili, Phys. Part. Nucl., 40, 67–70 (2009).CrossRefGoogle Scholar
  7. 7.
    A. A. Logunov and M. A. Mestvirishvili, Theor. Math. Phys., 121, 1262–1280 (1999).MATHCrossRefGoogle Scholar
  8. 8.
    V. A. Fock, The Theory of Space, Time, and Gravitation [in Russian], Nauka, Moscow (1961); English transl., Pergamon, New York (1963).Google Scholar
  9. 9.
    J. L. Synge, Relativity: The General Theory, North-Holland, Amsterdam (1960).Google Scholar
  10. 10.
    S. S. Gershtein, A. A. Logunov, and M. A. Mestvirishvili, Theor. Math. Phys., 155, 715–721 (2008).MATHCrossRefMathSciNetGoogle Scholar
  11. 11.
    R. C. Tolman, Proc. Nat. Acad. Sci. USA, 20, 169–176 (1934).CrossRefADSGoogle Scholar
  12. 12.
    L. D. Landau and E. M. Lifshits, Theory of Fields [in Russian], Fizmatlit, Moscow (1988); English transl. prev. ed.: The Classical Theory of Fields, Addison-Wesley, Cambridge, Mass. (1951).Google Scholar

Copyright information

© MAIK/Nauka 2009

Authors and Affiliations

  • S. S. Gershtein
    • 1
  • A. A. Logunov
    • 1
  • M. A. Mestvirishvili
    • 1
  1. 1.Institute for High Energy PhysicsProtvino, Moscow OblastRussia

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