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Generalisations of the Einstein-Straus model to cylindrically symmetric settings

Filipe C. Mena·Reza Tavakol·Raul Vera
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Abstract

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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Filipe C. Mena, Reza Tavakol, Raul Vera. 2004-05-07. Generalisations of the Einstein-Straus model to cylindrically symmetric settings. https://doi.org/10.1142/9789812704030_0193

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