Astronomy and Astrophysics – Astronomy
Scientific paper
May 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987mnras.226..373s&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 226, May 15, 1987, p. 373-381.
Astronomy and Astrophysics
Astronomy
13
Astronomical Models, Cosmology, Space Density, Statistical Analysis, Homogeneity, Random Processes, Spatial Distribution, Universe
Scientific paper
Although the standard Friedmann-Lemaitre-Robertson-Walker (FLRW) Universe models are based on the concept that the Universe is spatially homogeneous, up to the present time no definition of this concept has been proposed that could in principle be tested by observation. The authors propose such a definition, based on a simple spatial averaging procedure, which relates observable properties of the Universe to the continuum homogeneity idea that underlies the FLRW models. It turns out that the statistical homogeneity often used to describe the distribution of matter on a large scale does not imply spatial homogeneity according to this definition, and so cannot be simply related to a FLRW Universe model. The authors propose values for the homogeneity parameter ɛ and length scale Lc of homogeneity of the Universe.
Ellis George F. R.
Hellaby Charles
Stoeger William R.
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