No Swiss-cheese universe on the brane
Abstract
We study the possibility of brane-world generalization of the Einstein-Straus Swiss-cheese cosmological model. We find the modifications induced by the brane-world scenario. At a first glance only the motion of the boundary is modified and the fluid in the exterior region is allowed to have pressure. The general relativistic Einstein-Straus model emerges in the low density limit. By imposing that the brane is static, a combination of the junction conditions and modified cosmological evolution leads to the conclusion that the brane is flat. Thus no static Swiss-cheese universe can exist on the brane. The conclusion is not altered by the introduction of a cosmological constant in the FLRW regions. This result mimics a similar general relativistic result: static Einstein-Straus universes do not exist.
Keywords
Cite
@article{arxiv.gr-qc/0407010,
title = {No Swiss-cheese universe on the brane},
author = {László Á. Gergely},
journal= {arXiv preprint arXiv:gr-qc/0407010},
year = {2014}
}
Comments
v2: slightly expanded; references added; version to appear Phys. Rev. D, v3: corrected cf. erratum published in Phys. Rev. D