Observational tests of backreaction with recent data
  We explore the backreaction model based on the template metric proposed in Larena et al. (2008) constraining the matter density parameter $\Omega_m^{D_0}$ and the Dark Energy parameter $w$ with recent data. We provide constraints based on Supernovae Ia from the SNLS and the Union2.1 catalogs, confirming that the backreacted Universe should have a higher matter density than the corresponding Friedmaniann one. Angular diameter distances from clusters data confirm the same feature. Finally we combine these results with constraints obtained from the position of the first three peaks and the first dip of the CMB power spectrum, fitting WMAP-9 and Planck data. We find that an inconsistency arises in predicting the scale factor at recombination, leading to a backreacted Universe with lower matter density, in contradiction with results produced by SnIa and clusters. The same behavior is confirmed by analyzing the CMB-shift parameters from WMAP-9. We conclude exploring qualitatively the motivations of this inconsistency. 
Matteo Chiesa, Davide Maino, Elisabetta Majerotto
astro-ph.CO