Hollow cosmic string: the general-relativistic hollow cylinder

Details Hollow cosmic string: the general-relativistic hollow cylinder Hollow cosmic string: the general-relativistic hollow cylinder

1994-05-31

arxiv.org/abs/gr-qc/9405074v1

Phys.Rev.D50:7271-7281,1994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

28 pages (LaTex, 1 figure available on request), GCR-94/06/01

Scientific paper

10.1103/PhysRevD.50.7271

We determine the different possible space-time metrics inside an infinite rotating hollow cylinder with given energy density and longitudinal and azimuthal stresses, the metric outside the cylinder being chosen of the spinning cosmic string type. The solutions we obtain for various domains of values of the cylinder parameters include a space-time with topologically Euclidean spatial sections, a black-hole solution, a quasi-regular solution, and various wormhole solutions. A solution which is regular only if the longitudinal dimension is compactified might approximately describe spontaneous compactification of the cylinder to a torus.

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