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No Swiss-cheese universe on the brane

László Á. Gergely
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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.

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László Á. Gergely. 2007-02-22. No Swiss-cheese universe on the brane. https://doi.org/10.1103/physrevd.71.084017%2010.1103%2Fphysrevd.72.069902

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