, Volume 51, Issue 6, pp 699–710 | Cite as

Einstein equations and the joining of discontinuous metrics

  • Jagannath Thakur


We consider the problem of joining of metrics when these are not continuous across the joining (hyper-) surface. We confine ourselves to static, spherically symmetric metrics which join without requiring gradients of a δ-function in the energy-momentum tensor. It is found that a surface tension is always associated in cases where the metrics are discontinuous. In some cases, the joined metrics satisfy Einstein equations (in the sense of distributions) while, in others, the surface tension associated with the limiting discontinuous metric depends on the interpolating functions used to produce it suggesting sensitivity to short distance effects beyond general relativity.


Discontinuous metrics surface tension Einstein equations 




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  1. [1]
    S K Blau, E L Guendelman and A Guth,Phys. Rev.,D35, 1747 (1987)ADSMathSciNetGoogle Scholar
  2. [2]
    V A Berezin, V A Kuzmin and I I Tkachev,Phys. Rev.,D36, 2919 (1987)ADSMathSciNetGoogle Scholar
  3. [3]
    L D Landau and E M Lifshitz,The classical theory of fields (Pergamon Press, 1983), p. 301, footnoteGoogle Scholar
  4. [4]
    J Thakur,Acta Ciencia Indica Vol. XXII, P. No. 2, 43 (1996), Pragati Prakashan, MeerutGoogle Scholar

Copyright information

© Indian Academy of Sciences 1998

Authors and Affiliations

  • Jagannath Thakur
    • 1
  1. 1.Department of PhysicsPatna UniversityPatnaIndia

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