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Testing (in)homogeneity with redshift spherical shell mass mn(z)

Nov, 2009
12 pages
Published in:
  • JCAP 01 (2010) 004
e-Print:
DOI:
Report number:
  • YITP-09-76,
  • RESCUE-28-09
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2009201320172021202402468
Abstract: (arXiv)
As an alternative to dark energy it has been suggested that we may be at the center of an inhomogeneous isotropic universe described by a Lemaitre-Tolman-Bondi (LTB) solution of Einstein's field equations. In order to test this hypothesis we calculate the general analytical formula to fifth order for the redshift spherical shell mass. Using the same analytical method we write the metric in the light-cone by introducing a gauge invariant quantity G(z)G(z) which together with the luminosity distance DL(z)D_L(z) completely determine the light-cone geometry of a LTB model.
Note:
  • 13 pages
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