No Swiss-cheese universe on the brane

Journal Article · Fri Apr 15 04:00:00 EDT 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.71.084017· OSTI ID:20709088

Gergely, Laszlo A ^[1]

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1. Departments of Theoretical and Experimental Physics, University of Szeged, Szeged 6720, Dom ter 9 (Hungary)

We study the possibility of brane-world generalization of the Einstein-Straus Swiss-cheese cosmological model. We find that the modifications induced by the brane-world scenario are excessively restrictive. 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. However by imposing that the central mass in the Schwarzschild voids is constant, a combination of the junction conditions and modified cosmological evolution leads to the conclusion that the brane is flat. Thus no generic 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 shows that although allowed in the low density limit, the Einstein-Straus universe cannot emerge from cosmological evolution in the brane-world scenario.

• OSTI ID: 20709088
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 71; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COSMOLOGICAL CONSTANT
COSMOLOGICAL MODELS
COSMOLOGY
DENSITY
GENERAL RELATIVITY THEORY
MEMBRANES
QUANTUM FIELD THEORY
RELATIVISTIC RANGE
SPACE-TIME
UNIVERSE