2010
DOI: 10.1088/1475-7516/2010/03/018
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Light propagation in statistically homogeneous and isotropic universes with general matter content

Abstract: We derive the relationship of the redshift and the angular diameter distance to the average expansion rate for universes which are statistically homogeneous and isotropic and where the distribution evolves slowly, but which have otherwise arbitrary geometry and matter content. The relevant average expansion rate is selected by the observable redshift and the assumed symmetry properties of the spacetime. We show why light deflection and shear remain small. We write down the evolution equations for the average e… Show more

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Cited by 91 publications
(222 citation statements)
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“…However, the Universe is not FLRW -at best, it is statistically isotropic and homogeneous on large enough scales. Bridging the gap between the exact result and the real Universe entails a set of unresolved complexities in cosmology [434,435]. How do we perform covariant averages in GR [436,437,438]?…”
Section: Testing the Foundational Assumptions Of λCdm Plenary Speakermentioning
confidence: 99%
“…However, the Universe is not FLRW -at best, it is statistically isotropic and homogeneous on large enough scales. Bridging the gap between the exact result and the real Universe entails a set of unresolved complexities in cosmology [434,435]. How do we perform covariant averages in GR [436,437,438]?…”
Section: Testing the Foundational Assumptions Of λCdm Plenary Speakermentioning
confidence: 99%
“…In the recent years the problem has attracted attention of the researchers in the context of cosmology [2,3,4,5,6,7,8,9,10,11,12,13,14,15]. Obviously in the cosmological setting we assume the existence of a homogeneity scale, which may be as large as 2000Mpc [16], and a complicated, multiscale structure below that.…”
Section: Introductionmentioning
confidence: 99%
“…Further extensions that deal with general hypersurfaces tilted with respect to the fluid flow have been discussed by various authors [47]- [51].…”
Section: Spatial Averagesmentioning
confidence: 99%