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Journal Article

On crossing dust shells

MPS-Authors

Frauendiener,  Jörg
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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329716.pdf
(Publisher version), 993KB

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Citation

Frauendiener, J., & Klein, C. (1995). On crossing dust shells. Journal of Mathematical Physics, 36(7), 3632-3643.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5B96-2
Abstract
The crossing of two dust shells is considered as a simplified model for shell crossing during the spherically symmetric collapse of dust. It is shown that one encounters the same problems as in the latter case if one wants to continue the space-time dynamically through the region of intersection. To get a unique solution of the equations of motion, detailed information on the interaction between the shells has to be given. A corresponding Newtonian model is discussed and compared with the relativistic case. Furthermore it is shown that dust shells cannot be obtained as limiting cases of extended dust regions.