Development of Zeldovich's approach for cosmological distances measurement in the Friedmann Universe

Abstract

We present our development of Zeldovich's ideas for the measurement of the cosmological angular diameter distance (ADD) in the Friedmann Universe. We derive the general differential equation for the ADD measurement which is valid for an open, spatially-flat and closed universe, and for any stress energy tensor. We solve the mentioned equations in terms of quadratures in a form suitable for further numerical investigations for the present universe filled by radiation, (baryonic and dark) matter and dark energy. We perform the numerical investigation in the absence of radiation, and show the strong dependence ADD on the filling of the cone of light rays (CLR). The difference of the empty and totally filled CLR may reach 600-700 Mps. for the redshift $f\simeq 3$.

9 pages, 2 figures, comment is added

References in corpus (5)

• The value of H_0 in the inhomogeneous Universe
• Do stochastic inhomogeneities affect dark-energy precision measurements?
• Ricci focusing, shearing, and the expansion rate in an almost homogeneous Universe
• Non perturbative effects of primordial curvature perturbations on the apparent value of a cosmological constant
• The effect of universe inhomogeneities on cosmological distance measurements