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Cauchy problem for the Einstein equations

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Literature cited

  1. A. Lichnerowicz, Theories relativistes de la gravitation et L'electromagnetisme, Masson Gie, Paris (1955).

    Google Scholar 

  2. Y. Foures-Bruhat, J. Rat. Mech. Anal.,5, 6 (1956).

    Google Scholar 

  3. Y. Bruhat, Gravitation: an Introduction to Current Research, New York (1963).

  4. A. Lichnerowicz, Proc. of Symp. in Appl. Math.,17, Providence, Rhode Island (1965), p. 189.

    Google Scholar 

  5. Y. Choquet-Bruhat, “The stability of solutions of nonlinear hyperbolic equations on a manifold,” Usp. Mat. Nauk,29, 2 (176), 314 (1974).

    Google Scholar 

  6. Y. Choquet-Bruhat, D. Christodoulou, and M. Francaviglia, C. R. Acad. Sci., AB287, No. 5, A373 (1978).

    Google Scholar 

  7. S. W. Hawking and G. F. R. Ellis, The Large Scale Structure of Space-Time Cambridge Univ. Press (1973).

  8. S. W. Hawking and W. Israel, General Relativity: an Einstein Centenary Survey, Cambridge Univ. Press, London, New York, Melbourne (1979).

    Google Scholar 

  9. Y. Choquet-Bruhat and J. W. York, General Relativity and Gravitation, Vol. 1, Plenum Press, New York (1980).

    Google Scholar 

  10. H. Friedrich, Proc. R. Soc. London, Ser. A,387, No. 1774, 401 (1981).

    Google Scholar 

  11. V. A. Fock, Theory of Space, Time, and Gravitation, Pergamon (1964).

  12. A. N. Tamehin, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 9, 99 (1981).

    Google Scholar 

  13. I. G. Petrovsky, Lectures on Partial Differential Equations [in Russian], Fizmatgiz, Moscow (1961).

    Google Scholar 

  14. I. G. Petrovsky, Mat. Sb., 2, 815 (1937).

    Google Scholar 

  15. J. Leray, Lectures on Hyperbolic Equations with Variable Coefficients, Princeton (1952).

  16. A. N. Temchin, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 11, 58 (1980).

    Google Scholar 

  17. V. Ya. Ivrii and V. M. Petkov, Usp. Mat. Nauk,29, 3 (1975).

    Google Scholar 

  18. V. M. Petkov, Proceedings of the I. G. Petrovsky Seminar,1, 211, Moscow State University, (1975).

    Google Scholar 

  19. V. M. Petkov, Proceedings of the Moscow Mathematical Society,37, Moscow State University (1978).

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

    Google Scholar 

  21. A. N. Temchin, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 2, 98 (1982).

    Google Scholar 

  22. M. Markus and Kh. Mink, Review of the Theory of Matrices and Matrix Inequalities [Russian translation], Nauka, Moscow (1972).

    Google Scholar 

  23. A. N. Temchin, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 11, 105 (1982).

    Google Scholar 

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 111–115, March, 1983.

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Temchin, A.N. Cauchy problem for the Einstein equations. Soviet Physics Journal 26, 309–313 (1983). https://doi.org/10.1007/BF00895152

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  • DOI: https://doi.org/10.1007/BF00895152

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