Testing backreaction effects with observations
Julien Larena, Jean--Michel Alimi, Thomas Buchert, Martin Kunz and, Pier-Stefano Corasaniti

TL;DR
This paper introduces a smoothed inhomogeneous cosmology model to test against observations, showing it can fit data without dark energy and predicting future surveys can distinguish it from standard models.
Contribution
It proposes a new effective metric for inhomogeneous cosmologies and tests its consistency with observational data, challenging the necessity of dark energy in explaining cosmic acceleration.
Findings
Averaged inhomogeneous models fit supernova and CMB data without dark energy.
Future BAO measurements can differentiate between FLRW and evolving curvature models.
Abstract
In order to quantitatively test the ability of averaged inhomogeneous cosmologies to correctly describe observations of the large scale properties of the Universe, we introduce a smoothed template metric corresponding to a constant spatial curvature model at any time, but with an evolving curvature parameter. This metric is used to compute quantities along an approximate effective lightcone of the averaged model of the Universe. As opposed to the standard Friedmann model, we parameterize this template metric by exact scaling properties of an averaged inhomogeneous cosmology, and we also motivate this form of the metric by results on a geometrical smoothing of inhomogeneous cosmological hypersurfaces. We test our hypothesis for the template metric against supernova data and the position of the CMB peaks, and infer the goodness--of--fit and parameter uncertainties. We find that averaged…
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