Swiss Cheese and a Cheesy CMB

Abstract

It has been argued that the Swiss-Cheese cosmology can mimic Dark Energy, when it comes to the observed luminosity distance-redshift relation. Besides the fact that this effect tends to disappear on average over random directions, we show in this work that based on the Rees-Sciama effect on the cosmic microwave background (CMB), the Swiss-Cheese model can be ruled out if all holes have a radius larger than about 35 Mpc. We also show that for smaller holes, the CMB is not observably affected, and that the small holes can still mimic Dark Energy, albeit in special directions, as opposed to previous conclusions in the literature. However, in this limit, the probability of looking in a special direction where the luminosity of supernovae is sufficiently supressed becomes very small, at least in the case of a lattice of spherical holes considered in this paper.

23 pages, 10 figures. Matches published version

References in corpus (9)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Measuring the Baryon Acoustic Oscillation scale using the SDSS and 2dFGRS
• Confronting Lemaitre-Tolman-Bondi models with Observational Cosmology
• The universe seen at different scales
• On cosmological observables in a swiss-cheese universe
• Light-cone averages in a swiss-cheese universe
• Luminosity distance in "Swiss cheese" cosmology with randomized voids: I. Single void size
• Description of our cosmological spacetime as a perturbed conformal Newtonian metric and implications for the backreaction proposal for the accelerating universe
• Analytical Estimate of the Effect of Spherical Inhomogeneities on Luminosity Distance and Redshift