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

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

2000-07-28

arxiv.org/abs/gr-qc/0007077v1

Phys.Rev. D62 (2000) 124001; Erratum-ibid. D67 (2003) 129902

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

To appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.62.124001

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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