Generalisations of the Einstein-Straus model to cylindrically symmetric settings
General Relativity and Quantum Cosmology
2016-11-09 v1
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.
Keywords
Cite
@article{arxiv.gr-qc/0405043,
title = {Generalisations of the Einstein-Straus model to cylindrically symmetric settings},
author = {Filipe C. Mena and Reza Tavakol and Raul Vera},
journal= {arXiv preprint arXiv:gr-qc/0405043},
year = {2016}
}
Comments
LaTeX, 3 pages, submitted to Proceedings of the MGX