COMMUNICATIONS / MITTEILUNGEN
G. Paál
Some Remarks on Empirical Tests of Cosmology
No. 54
Budapest, 1964
Abstract
In Abell's catalogue of clusters of galaxies a strong correlation
has been found between the compactness and the distance of the clusters.
By comparing Abell's and Zwicky's catalogues it is demonstrated here,
that this results from an error in Abell's working hypothesis, according
to its mean red shift. Our result indicates that in the case of distant
clusters of galaxies the red shift is not even in rough proportion to distance.
This statement is in disagreement with the opinion generally held by
astronomers, it is, however, proved to be in perfect accord with the magnitudes
and red shifts published by Humason, Mayall and Sandage, provided
the relationships between cosmologically important quantities are determined
independently from Friedmann's equation generally used in cosmology.
When the correct relationship between the red shifts and the angular
diameters of the clusters of galaxies is applied, the existence of a
metagalactic density gradient different from zero may be inferred from the
data of Abell's Catalogue. The cosmological consequences of the points
brought up in the present paper are mentioned in brief only, since they
will be discussed in detail in a paper to follow.
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