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The effect of density fluctuations upon light propagation is calculatedperturbatively in a matter dominated irrotational universe. The starting pointis the perturbed metric (second order in the perturbation strength), while theoutput is the Hubble diagram. Density fluctuations cause this diagram tobroaden to a strip. Moreover, the shift of the diagram mimics acceleratedexpansion.

Calculating the Hubble diagram by perturbation theory