In the Swiss-Cheese universe, the apparent acceleration is explained
as an artefact of gravitational lensing by voids. In this model, the
universe is saturated with many voids and structures, hence the name.
First I will explain and motivate this model, and show how a toy-model
description gives a proof of concept. It has been shown that in this
toy-model, the lensing effect disappears when the observer averages
over all directions. It is not clear whether this is a consequence of
the perfectly symmetric toy-model or not. However, I will show that on
top of that, the highly non-linear structures necessary for this
model, inevitably give a significant imprint on the CMB by means of
the Rees-Sciama effect. This rules out most of parameter space that
was considered up till now, and leaves open only few options for this
model.
References:
"On cosmological observables in a swiss-cheese universe", by
Valerio Marra, Edward W. Kolb, Sabino Matarrese, Antonio Riotto
[arXiv:0708.3622]
"Luminosity distance in "Swiss cheese" cosmology with randomized voids: I. Single void size", by
R. Ali Vanderveld, Eanna E. Flanagan, Ira Wasserman
[arXiv:0808.1080]
"Swiss Cheese and a Cheesy CMB", by Wessel Valkenburg
[arXiv:0902.4698]