Il Nuovo Cimento B (1965-1970)

, Volume 44, Issue 1, pp 1–14 | Cite as

Singular hypersurfaces and thin shells in general relativity

  • W. Israel


An approach to shock waves, boundary surfaces and thin shells in general relativity is developed in which their histories are characterized in a purely geometrical way by the extrinsic curvatures of their imbeddings in space-time. There is some gain in simplicity and ease of application over previous treatments in that no mention of « admissible » or, indeed, any space-time co-ordinates is needed. The formalism is applied to a study of the dynamics of thin shells of dust.


Dust Boundary Surface Thin Shell Extrinsic Curvature Energy Tensor 
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Si sviluppa un’approssimazione alle onde d’urto, superfici di contorno e strati sottili in relatività generale in cui le loro storie sono caratterizzate in modo puramente geometrico dalle curvature estrinseche delle loro giaciture nello spazio-tempo. Si ha un qualche guadagno in semplicità e facilità di applicazione rispetto alle trattazioni precedenti in quanto non è necessaria alcuna menzione di « ammissibilità » o, nella fattispecie di alcuna coordinata spazio-temporale. Si applica questo formalismo allo studio della dinamica degli strati sottili di polveri.


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Copyright information

© Società Italiana di Fisica 1966

Authors and Affiliations

  • W. Israel
    • 1
  1. 1.Department of MathematicsUniversity of AlbertaEdmonton

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