Skip to main content
Log in

Hilbert’s causality principle and equations of general relativity exclude the possibility of black hole formation

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

Abstract

We prove that Hilbert’s causality principle and the equations of general relativity exclude the possibility that a black hole can form.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. M. Rees, R. Ruffini, and J. A. Wheeler, Black Holes, Gravitational Waves, and Cosmology: An Introduction to Current Research, Gordon and Breach, New York (1974).

    Google Scholar 

  2. I. D. Novikov and V. P. Frolov, Physics of Black Holes [in Russian], Nauka, Moscow (1989); English transl., Kluwer, Dordrecht (1989).

    Google Scholar 

  3. C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation, Freeman, San Francisco (1973).

    Google Scholar 

  4. E. Kuranskii, ed., Albert Einstein and the Theory of Gravitation [in Russian], Mir, Moscow (1979).

    Google Scholar 

  5. A. Einstein, Ann. of Math. (2), 40, 922–936 (1939).

    Article  MathSciNet  Google Scholar 

  6. R. P. Feynman, F. B. Morinigo, and W. G. Wagner, Feynman Lectures on Gravitation, Addison-Wesley, Reading, Mass. (1995).

    Google Scholar 

  7. D. Hilbert, Selected Works [in Russian], Faktorial, Moscow (1998).

    Google Scholar 

  8. L. D. Landau and E. M. Lifshitz, Theoretical Physics [in Russian], Vol. 2, Field Theory, Moscow, Nauka (2001); English transl.: The Classical Theory of Fields, Pergamon, Oxford (1975).

    Google Scholar 

  9. R. Tolmen, Relativity, Thermodynamics, and Cosmology, Clarendon, Oxford (1934).

    Google Scholar 

  10. Ya. B. Zel’dovich and I. D. Novikov, Relativistic Astrophysics [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  11. V. A. Fock, The Theory of Space, Time, and Gravitation [in Russian], Fizmatlit, Moscow (1961); English transl., Pergamon, Oxford (1963).

    Google Scholar 

  12. S. S. Gershtein, A. A. Logunov, and M. A. Mestvirishvili, Dokl. Phys., 56, 65–66 (2011).

    Article  ADS  Google Scholar 

  13. S. S. Gershtein, A. A. Logunov, and M. A. Mestvirishvili, Dokl. Phys., 56, 359–361 (2011).

    Article  ADS  Google Scholar 

  14. T. Marshall, “Fields tell matter how to move,” arXiv:1103.6168v1 [gr-qc] (2011).

  15. A. Mitra, J. Math. Phys., 50, 042502 (2009); arXiv:0904.4754v1 [physics.gen-ph] (2009).

    Article  MathSciNet  ADS  Google Scholar 

  16. J. L. Synge, Relativity: The General Theory, North-Holland, Amsterdam (1960).

    Google Scholar 

  17. S. S. Gershtein, A. A. Logunov, and M. A. Mestvirishvili, Dokl. Phys., 53, 343–345 (2008).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. A. Logunov.

Additional information

__________

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 170, No. 3, pp. 489–496, March, 2012.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Logunov, A.A., Mestvirishvili, M.A. Hilbert’s causality principle and equations of general relativity exclude the possibility of black hole formation. Theor Math Phys 170, 413–419 (2012). https://doi.org/10.1007/s11232-012-0040-7

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11232-012-0040-7

Keywords

Navigation