Light propagation in statistically homogeneous and isotropic dust universes

Details Light propagation in statistically homogeneous and isotropic dust universes Light propagation in statistically homogeneous and isotropic dust universes

2008-12-15

arxiv.org/abs/0812.2872v2

JCAP02(2009)011

Astronomy and Astrophysics

Astrophysics

33 pages. v2: Published version. Corrected typos

Scientific paper

10.1088/1475-7516/2009/02/011

We derive the redshift and the angular diameter distance in rotationless dust universes which are statistically homogeneous and isotropic, but have otherwise arbitrary geometry. The calculation from first principles shows that the Dyer-Roeder approximation does not correctly describe the effect of clumping. Instead, the redshift and the distance are determined by the average expansion rate, the matter density today and the null geodesic shear. In particular, the position of the CMB peaks is consistent with significant spatial curvature provided the expansion history is sufficiently close to the spatially flat LambdaCDM model.

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