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P. J. E. Peebles, Large-Scale Structure of the Universe
1980
Earlier work this paper cites.
M. P. Dabrowski and M. A. Hendry, ApJ
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Earlier work this paper cites.
T. Buchert, On Average Properties of Inhomogeneous Fluids in General Relativity I: Dust Cosmologies
2000
Earlier work this paper cites.
T. Buchert and M. Carfora, On the curvature of the present-day Universe
Original
2008
Earlier work this paper cites.

Similar

M. Célérier, K. Bolejko, and A. Krasiński, A&A
Original
2010
Cited alongside, same era.
S. R. Green, R. M. Wald, Phys. Rev. D
Original
2011
Cited alongside, same era.
T. Buchert and M. Ostermann, Phys. Rev. D
Original
2012
Cited alongside, same era.

Then

D. L. Wiltshire, P. R. Smale, T. Mattsson, and R. Watkins, ArXiv e-prints
Original
2012
Later among the works it cites.
T. Buchert, C. Nayet, and A. Wiegand, Phys. Rev. D
Original
2013
Closest in time.
B. F. Roukema, J. J. Ostrowski, and T. Buchert, JCAP
Original
2013
Closest in time.

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2013

Virialization-induced curvature versus dark energy

Ostrowski, Jan J., Roukema, Boudewijn F., Buchert, Thomas

Understand

The concordance model is successful in explaining numerous observable phenomena at the price of introducing an exotic source of unknown origin: dark energy.

Dark energy dominance occurs at recent epochs, when we expect most cosmological structures to have already formed, and thus, when the error induced by forcing the homogeneous FLRW metric onto the data is expected to be the most significant.
We propose a way to quantify the impact of deviations from homogeneity on the evolution of cosmological parameters.
Using a multi-scale partitioning approach and the virialization fraction estimated from numerical simulations in an Einstein-de Sitter model, we obtain an observationally realistic distance modulus over redshifts 0 < z < 3 by a relativistic correction of the FLRW metric.