Matching of spatially homogeneous non-stationary space--times to vacuum in cylindrical symmetry

Details Matching of spatially homogeneous non-stationary space--times to vacuum in cylindrical symmetry Matching of spatially homogeneous non-stationary space--times to vacuum in cylindrical symmetry

2004-05-18

arxiv.org/abs/gr-qc/0405102v1

Phys.Rev.D70:104028,2004

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX, 15 pages, 1 figure, submitted for publication

Scientific paper

10.1103/PhysRevD.70.104028

We study the matching of LRS spatially homogeneous collapsing dust space-times with non-stationary vacuum exteriors in cylindrical symmetry. Given an interior with diagonal metric we prove existence and uniqueness results for the exterior. The matched solutions contain trapped surfaces, singularities and Cauchy horizons. The solutions cannot be asymptotically flat and we present evidence that they are singular on the Cauchy horizons.

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