Skip to main content
Log in

On the Cauchy problem foe Einstein's equations

  • Published:
Soviet Physics Journal Aims and scope

Abstract

The “mechanism” of nonuniqueness of the solution to the problem with initial conditions for the equations of the free gravitational field is elucidated.

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

Literature cited

  1. Y. Fourès-Bruhat, J. Rat. Mech. Anal.,5, 6 (1956).

    Google Scholar 

  2. A. Z. Petrov, Einstein Spaces, Oxford (1969).

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

    Google Scholar 

  4. L. Bers, F. John, and M. Schechter, Partial Differential Equations, New York (1964).

  5. R. Courant, Partial Differential Equations [Russian translation], Mir, Moscow (1964).

    Google Scholar 

  6. I. G. Petrovskii, Lectures on Partial Differential Equations [in Russian], FM, Moscow (1961).

    Google Scholar 

  7. A. N. Temchin, Izv. Vyssh. Uchben. Zaved. Fiz., No. 8, 64 (1980).

    Google Scholar 

  8. L. Hermander, Linear Partial Differential Operators [Russian translation], Mir, Moscow (1965).

    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, Pergamon Press, Oxford (1975).

    Google Scholar 

  11. L. P. Eisenhart, Riemannian Geometry, Princeton (1966).

  12. P. K. Rashevskii, Riemannian Geometry and Tensor Analysis [in Russian], Nauka, Moscow (1964).

    Google Scholar 

Download references

Authors

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 9, pp. 32–34, September, 1980.

I thank V. L. Bonch-Bruevich, N. S. Kardashov, and I. D. Novikov for interest and assistance.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Temchin, A.N. On the Cauchy problem foe Einstein's equations. Soviet Physics Journal 23, 776–778 (1980). https://doi.org/10.1007/BF00892523

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00892523

Keywords

Navigation