Generalisations of the Einstein-Straus model to cylindrically symmetric settings

Details Generalisations of the Einstein-Straus model to cylindrically symmetric settings Generalisations of the Einstein-Straus model to cylindrically symmetric settings

2004-05-07

arxiv.org/abs/gr-qc/0405043v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX, 3 pages, submitted to Proceedings of the MGX

Scientific paper

We study generalisations of the Einstein--Straus model in cylindrically symmetric settings by considering the matching of a static space-time to a non-static spatially homogeneous space-time, preserving the symmetry. We find that such models possess severe restrictions, such as constancy of one of the metric coefficients in the non-static part. A consequence of this is that it is impossible to embed static locally cylindrically symmetric objects in reasonable spatially homogeneous cosmologies.

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