Generalized Swiss-Cheese Cosmologies II: Spherical Dust

Details Generalized Swiss-Cheese Cosmologies II: Spherical Dust Generalized Swiss-Cheese Cosmologies II: Spherical Dust

2011-08-31

arxiv.org/abs/1108.6320v3

Phys. Rev. D 84, 083506 (2011)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages revtex 4.1 Final form to appear in Phys. Rev. D

Scientific paper

The generalized Swiss - cheese model, consisting of a Lema\^itre - Tolman (inhomogeneous dust) region matched, by way of a comoving boundary surface, onto a Robertson-Walker background of homogeneous dust, has become a standard construction in modern cosmology. Here we ask if this construction can be made more realistic by introducing some evolution of the boundary surface. The answer we find is no. To maintain a boundary surface using the Darmois - Israel junction conditions, as opposed to the introduction of a surface layer, the boundary must remain exactly comoving. The options are to drop the assumption of dust or allow the development of surface layers. Either option fundamentally changes the original construction.

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