Minimal Angular Size of Distant Sources in Open, $\Lambda$CDM, and Scalar Field Cosmologies

Abstract

We propose a simple method for determining the redshift $z_m$ at which the angular size of an extragalactic source with fixed proper diameter takes its minimal value. A closed analytical expression, which is quite convenient for numerical evaluation is derived. The method is exemplified with the following FRW type expanding universes: the open matter dominated models (${\Omega }_{\Lambda }=0$), a critical density model with cosmological constant (${\Omega }_{\Lambda }\ne 0$), and the class of scalar field cosmologies proposed by Ratra and Peebles. The influence of systematic evolutionary effects is briefly discussed.

8 pages, 1 postscript figures, uses revtex macros

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• Constraining the dark energy and smoothness-parameter with supernovae
• Constraining the dark energy and smoothness parameter with type Ia Supernovae and Gamma-Ray Bursts
• Flat Cosmology with Coupled Matter and Dark Energies
• Revisiting the angular size-redshift cosmological test with milliarcsecond radio structures in active galactic nuclei