Towards a theory of thin self-gravitating crossing shells

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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19 pages, 5 figures, to be published in "Gravitation and Cosmology"

Scientific paper

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.

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