Significance of the angular diameter-redshift relation

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Models, Big Bang Cosmology, Red Shift, Angular Distribution, Diameters, Distance, Inhomogeneity, Intergalactic Media, Scintillation

Scientific paper

Important effects on the angular diameter-redshift relation caused by small-scale inhomogeneities are pointed out. It is shown that, if the lines of sight to distant sources do not pass too close to intervening galaxies (zero shear), the distance-redshift relations for inhomogeneous Friedmann models of the universe can be expressed as a simple hypergeometric differential equation which gives the solid angle distance as a function of the acceleration parameter, the redshift of the source, and the inhomogeneity factor. The redshifts of minimum angular diameter are calculated as a function of the acceleration parameter and the inhomogeneity factor in the zero-shear inhomogeneous Friedmann model.

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