Redshift spherical shell energy in isotropic Universes

Oct, 2007
11 pages
Published in:
  • Phys.Rev.D 76 (2007) 103525
e-Print:

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Abstract: (arXiv)
We analyze the compatibility of astrophysical catalogs data with inhomogeneous cosmological models. In particular we observe that previous spatial homogeneity tests were based on the analysis of a limited redshift range, and as such should be considered tests of isotropy, i.e. of homogeneity of the corresponding spherical shell. We introduce a radial homogeneity measure called redshift spherical shell mass (RSSM) which can be used to test in the redshift space the radial inhomogeneity of an isotropic universe, providing additional constraints for LTB models, and a more general test of cosmic homogeneity.
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