Implications of the red-shift-number test for cosmology

Mathematics – Logic

Scientific paper

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Cosmology, Hubble Constant, Red Shift, Astronomical Photometry, Astronomical Spectroscopy, Galaxies

Scientific paper

The cosmological implications of the measurement by Loh and Spillar (1986) of the number density of galaxies as a function of red shift and flux are investigated, extending the analysis to the case of nonzero cosmological constant (Lambda). The advantages of the red-shift/number test over classical red-shift/magnitude tests are discussed; the results of the test are presented in a graph; and the 95-percent and 67-percent confidence regions they imply are plotted in the lambda/Omega plane, where lambda is a nondimensionalized cosmological constant equal to Lambda/(3 x H0 squared) and Omega is the present mass-density/closure-density ratio. The data are found to support a big-bang cosmology and to imply that lambda = 0, that Omega = 1, and that the product of H0 and the age of the universe lies between 0.60 and 0.88.

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