Non-linear structure formation and ‘apparent’ acceleration: an investigation

Abstract

We present an analytically tractable non-linear model of structure formation in a Universewith only dust. The model is a Lemaître–Tolman–Bondi solution (of general relativity) andstructures are shells of different density. We show that the luminosity distance–redshiftrelation has significant corrections at low redshift when the density contrast becomesnon-linear. A minimal effect is a correction in apparent magnitudes of order . We discuss different possibilities that could further enhance this effect and mimic darkenergy.