Skip to main content
SpringerLink
Log in

Junction conditions in general relativity

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

Abstract

We examine the three sets of junction conditions commonly used in general relativity: those due to Darmois, to O'Brien and Synge, and to Lichnerowicz. We show that those due to Darmois and Lichnerowicz are equivalent. The O'Brien and Synge set is stronger than the other two and is unsatisfactory in that it may rule out physically plausible junctions. We conclude that the Darmois set is the most convenient and reliable.

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. Israel, W. (1966).Nuovo Cimento,44, 1.

    Google Scholar 

  2. Darmois, G. (1927).Mémorial des Sciences Mathematiques (Gauthier-Villars, Paris), Fasc. 25.

    Google Scholar 

  3. O'Brien, S., and Synge, J. L. (1952).Jump Conditions at Discontinuities in General Relativity (Dublin Institute for Advanced Studies).

  4. Lichnerowicz, A. (1955).Théories Relativistes de la Gravitation et de l'Électromagnétisme (Masson, Paris), p. 61.

    Google Scholar 

  5. Synge, J. L. (1960).Relativity: The General Theory (North-Holland, Amsterdam), p. 39.

    Google Scholar 

  6. Israel, W. (1958).Proc. R. Soc. London Ser. A,248, 404.

    Google Scholar 

  7. Robson, E. H. (1972).Ann. Inst. Henri Poincaré,16, 41.

    Google Scholar 

  8. Cocke, W. J. (1966).J. Math. Phys.,7, 1171.

    Google Scholar 

  9. Bonnor, W. B., and Faulkes, M. C. (1967).Mon. Not. R. Astron. Soc.,137, 239.

    Google Scholar 

  10. Vickers, P. A. (1973).Ann. Inst. Henri Poincaré,18, 137.

    Google Scholar 

  11. Bonnor, W. B. (1976).Commun. Math. Phys.,51, 191.

    Google Scholar 

  12. Misner, C. W., Thorne, K. S., and Wheeler, J. A. (1973).Gravitation (Freeman, San Francisco), Chap. 21.

    Google Scholar 

  13. Kumar, M. M., and Singh, B. P. (1974).Prog. Theor. Phys.,52, 1068.

    Google Scholar 

  14. Vickers, P. A. (1973). Ph.D. thesis (University of London).

  15. Papapetrou, A. (1974).Lectures on General Relativity (Reidel, Boston), Chap. 6.

    Google Scholar 

  16. Just, K. (1960).Z. Astrophys.,49, 19.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Queen Elizabeth College, University of London, Campden Hill Road, W8 7AH, London

    W. B. Bonnor & P. A. Vickers

Authors
  1. W. B. Bonnor
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P. A. Vickers
    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

Bonnor, W.B., Vickers, P.A. Junction conditions in general relativity. Gen Relat Gravit 13, 29–36 (1981). https://doi.org/10.1007/BF00766295

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00766295

Keywords

Search

Navigation