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. © 1966 Società Italiana di Fisica.
CITATION STYLE
Israel, W. (1966). Singular hypersurfaces and thin shells in general relativity. Il Nuovo Cimento B Series 10, 44(1), 1–14. https://doi.org/10.1007/BF02710419
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