Skip to main content
SpringerLink
Log in

The static gravitational field near spatial infinity I

  • Research Articles
  • Published:
General Relativity and Gravitation Aims and scope Submit manuscript

Abstract

A static solution to Einstein's equations, which is asymptotically flat near spatial infinity, is shown to be asymptotically Schwarzschildian. As an application of this result we prove a technical lemma on the existence of asymptotically flat harmonic coordinates near infinity.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Kellogg, O. D. (1929).Foundations of Potential Theory (Springer, Berlin).

    Google Scholar 

  2. Schoen, R., and Yau, S.-T. (1979).Commun. Math. Phys.,65, 45.

    Google Scholar 

  3. Arnowitt, R., Deser, S., and Misner, C. W. (1960).Phys. Rev.,118, 1100; (1961).121, 1556;122, 997. (1961).

    Google Scholar 

  4. Geroch, R. (1970).J. Math. Phys.,11, 2580.

    Google Scholar 

  5. Synge, J. L. (1969).Proc. R. Ir. Acad.,67A, 47.

    Google Scholar 

  6. Geroch, R. (1972).J. Math. Phys.,13, 956.

    Google Scholar 

  7. Ashtekar, A. (1980). article to appear in theEinstein Volume,General Relativity and Gravitation, Ed. Held, A. (Plenum, New York).

    Google Scholar 

  8. Misner, C. W., Thorne, K., and Wheeler, J. A. (1973).Gravitation (Freeman, San Francisco), p. 456.

    Google Scholar 

  9. Newman, E. T., and Unti, T. W. J. (1972).J. Math. Phys.,3, 891.

    Google Scholar 

  10. Newman, E. T., and Penrose, R. (1972).J. Math. Phys.,3, 566.

    Google Scholar 

  11. Trautman, A. (1958).Bull. Acad. Polon. Sci.,6, 407.

    Google Scholar 

  12. Choquet-Bruhat, Y., and Marsden, J. E. (1976).Commun. Math. Phys.,51, 283.

    Google Scholar 

  13. Müller zum Hagen, H. (1970).Proc. Camb. Phil. Soc.,67, 415.

    Google Scholar 

  14. Ashtekar, A., and Magnon-Ashtekar, A. (1979).J. Math. Phys.,20, 793.

    Google Scholar 

  15. Beig, R. (1919).Phys. Lett.,69A, 153.

    Google Scholar 

  16. Douglis, A., and Nirenberg, L. (1955).Commun. Pure Appl. Math.,8, 503.

    Google Scholar 

  17. Lichtenstein, L. (1926).Ber. Sächs. Akad.,58, 213.

    Google Scholar 

  18. Gilbarg, D., and Trudinger, N. S. (1977).Elliptic Partial Differential Equations of Second Order (Springer, Berlin), p. 56.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Wien, Austria

    R. Beig

Authors
  1. R. Beig
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Beig, R. The static gravitational field near spatial infinity I. Gen Relat Gravit 12, 439–451 (1980). https://doi.org/10.1007/BF00756175

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00756175

Keywords

Search

Navigation