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.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Israel, W. (1966).Nuovo Cimento,44, 1.
Darmois, G. (1927).Mémorial des Sciences Mathematiques (Gauthier-Villars, Paris), Fasc. 25.
O'Brien, S., and Synge, J. L. (1952).Jump Conditions at Discontinuities in General Relativity (Dublin Institute for Advanced Studies).
Lichnerowicz, A. (1955).Théories Relativistes de la Gravitation et de l'Électromagnétisme (Masson, Paris), p. 61.
Synge, J. L. (1960).Relativity: The General Theory (North-Holland, Amsterdam), p. 39.
Israel, W. (1958).Proc. R. Soc. London Ser. A,248, 404.
Robson, E. H. (1972).Ann. Inst. Henri Poincaré,16, 41.
Cocke, W. J. (1966).J. Math. Phys.,7, 1171.
Bonnor, W. B., and Faulkes, M. C. (1967).Mon. Not. R. Astron. Soc.,137, 239.
Vickers, P. A. (1973).Ann. Inst. Henri Poincaré,18, 137.
Bonnor, W. B. (1976).Commun. Math. Phys.,51, 191.
Misner, C. W., Thorne, K. S., and Wheeler, J. A. (1973).Gravitation (Freeman, San Francisco), Chap. 21.
Kumar, M. M., and Singh, B. P. (1974).Prog. Theor. Phys.,52, 1068.
Vickers, P. A. (1973). Ph.D. thesis (University of London).
Papapetrou, A. (1974).Lectures on General Relativity (Reidel, Boston), Chap. 6.
Just, K. (1960).Z. Astrophys.,49, 19.
Author information
Authors and Affiliations
Rights 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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00766295