Abstract
We prove that Hilbert’s causality principle and the equations of general relativity exclude the possibility that a black hole can form.
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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).
I. D. Novikov and V. P. Frolov, Physics of Black Holes [in Russian], Nauka, Moscow (1989); English transl., Kluwer, Dordrecht (1989).
C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation, Freeman, San Francisco (1973).
E. Kuranskii, ed., Albert Einstein and the Theory of Gravitation [in Russian], Mir, Moscow (1979).
A. Einstein, Ann. of Math. (2), 40, 922–936 (1939).
R. P. Feynman, F. B. Morinigo, and W. G. Wagner, Feynman Lectures on Gravitation, Addison-Wesley, Reading, Mass. (1995).
D. Hilbert, Selected Works [in Russian], Faktorial, Moscow (1998).
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).
R. Tolmen, Relativity, Thermodynamics, and Cosmology, Clarendon, Oxford (1934).
Ya. B. Zel’dovich and I. D. Novikov, Relativistic Astrophysics [in Russian], Nauka, Moscow (1967).
V. A. Fock, The Theory of Space, Time, and Gravitation [in Russian], Fizmatlit, Moscow (1961); English transl., Pergamon, Oxford (1963).
S. S. Gershtein, A. A. Logunov, and M. A. Mestvirishvili, Dokl. Phys., 56, 65–66 (2011).
S. S. Gershtein, A. A. Logunov, and M. A. Mestvirishvili, Dokl. Phys., 56, 359–361 (2011).
T. Marshall, “Fields tell matter how to move,” arXiv:1103.6168v1 [gr-qc] (2011).
A. Mitra, J. Math. Phys., 50, 042502 (2009); arXiv:0904.4754v1 [physics.gen-ph] (2009).
J. L. Synge, Relativity: The General Theory, North-Holland, Amsterdam (1960).
S. S. Gershtein, A. A. Logunov, and M. A. Mestvirishvili, Dokl. Phys., 53, 343–345 (2008).
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 170, No. 3, pp. 489–496, March, 2012.
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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
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DOI: https://doi.org/10.1007/s11232-012-0040-7