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Impossibility of centrally symmetric shock waves in vacuum in the relativistic theory of gravitation

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Literature Cited

  1. G. D. Birkhoff, Relativity and Modern Physics, Cambridge (1923), p. 256.

  2. A. Z. Petrov, Zh. Eksp. Teor. Fiz.,44, 1525 (1963); Uch. Zap. Kaz. Gos. Univ.,123, Kn. 2, 61; Kn. 12, 21 (1963).

    Google Scholar 

  3. A. Z. Petrov, New Methods in the General Theory of Relativity [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  4. P. G. Bergmann, M. Cahen, and A. B. Komar, J. Math. Phys.,6, 1 (1965); A. Hamoui, Ann. Inst. H. Poincaré A,10, 195 (1969).

    Google Scholar 

  5. H. Goenner, Commun. Math. Phys.,16, 34 (1970); A. Barnes, Commun. Math. Phys.,33, 75 (1973).

    Google Scholar 

  6. A. A. Vlasov, A. A. Logunov, and M. A. Mestvirishvili, Teor. Mat. Fiz.,61, 323 (1984); A. A. Logunov and M. A. Mestvirishvili, Teor. Mat. Fiz.,61, 327 (1984); Fiz. Elem. Chastits At. Yadra,17, 5 (1986) Fundamentals of the Relativistic Theory of Gravitation [in Russian], State University, Moscow (1985).

    Google Scholar 

  7. A. V. Genk, “The relativistic theory of gravitation with a linear constraint,” Paper No. 5982-V87 deposited at VINITI (All-Union Institute of Scientific and Technical Information), VINITI, Moscow (1987).

    Google Scholar 

  8. A. A. Vlasov and A. A. Logunov, Teor. Mat. Fiz.,64, 3 (1985).

    Google Scholar 

  9. V. A. Fock, The Theory of Space, Time, and Gravitation, Oxford (1964).

  10. L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields, 4th ed., Pergamon Press, Oxford (1975).

    Google Scholar 

  11. V. I. Smirnov, Course of Higher Mathematics, Vol. 3, Part 2 [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  12. Yu. P. Vyblyi, in: Abstracts in Papers at Seventh All-Union Conference: Modern Theoretical and Experimental Problems of the Theory of Relativity and Gravitation [in Russian]; published by Erevan State University, Erevan (1988), p. 171.

    Google Scholar 

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“Burevestnik” Scientific-Industrial Union, Leningrad. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 79, No. 3, pp. 473–480, June, 1989.

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Genk, A.V. Impossibility of centrally symmetric shock waves in vacuum in the relativistic theory of gravitation. Theor Math Phys 79, 665–670 (1989). https://doi.org/10.1007/BF01016554

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