Abstract

The general formulas of a nonrotating dynamic thin shell that connect two arbitrary cylindrical regions are given using Israel's method. As an application of them, the dynamics of a thin shell made of counterrotating dust particles, which emit both gravitational waves and massless particles when it is expanding or collapsing, is studied. It is found that when the models represent a collapsing shell, in some cases the angular momentum of the dust particles is strong enough to halt the collapse, so that a spacetime singularity is prevented from forming, while in other cases it is not, and a linelike spacetime singularity is finally formed on the symmetry axis.

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