On Cosmological Models with an Antipole

The properties of Lemaître models are summarized and the luminosity–volume test is used to determine which of these models are consistent with the distributions in space of quasars and radio-galaxies respectively. Ranges of models can be found consistent with either, but not both, of these classes of radio-source, including models which could account for the anomalous absorption redshift of 1.95 in quasars. The integrated extragalactic radio background provides an important additional constraint to the problem. No model is found to agree with the observed radio source-counts, without the introduction of evolutionary effects.