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Gravitational Collapse of Cylindrical Shells Made of Counter-Rotating Dust Particles

P. R. C. T. Pereira·Anzhong Wang
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Abstract

The general formulas of a non-rotating dynamic thin shell that connects two arbitrary cylindrical regions are given using Israel's method. As an application of them, the dynamics of a thin shell made of counter-rotating dust particles, which emits 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 line-like spacetime singularity is finally formed on the symmetry axis.

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P. R. C. T. Pereira, Anzhong Wang. 2000-07-28. Gravitational Collapse of Cylindrical Shells Made of Counter-Rotating Dust Particles. https://doi.org/10.1103/physrevd.62.124001%2010.1103%2Fphysrevd.67.129902

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