Singular hypersurfaces and thin shells in general relativity

1966
Published in:
  • Nuovo Cim.B 44S10 (1966) 1,
  • Nuovo Cim.B 48 (1967) 463 (erratum),
  • Nuovo Cim.B 44 (1966) 1

Citations per year

19671982199720122025050100150
Abstract: (Springer)
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.
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