Towards a theory of thin self-gravitating crossing shells

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In the case of crossing thin dust shells the momentum conservation law is found. For two crossing isotropic shells it coincides with the 't Hooft-Dray formula. The system of one isotropic and one time-like shell is considered. In this case we found a very simple formula which relate velocities of dust shell before and after crossing.
19 pages, 5 figures, to be published in "Gravitation and Cosmology"

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