Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2004-07-02
Phys.Rev.D71:084017,2005; Erratum-ibid.D72:069902,2005
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
v2: slightly expanded; references added; version to appear Phys. Rev. D, v3: corrected cf. erratum published in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.71.084017
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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