Do the redshifts of gravitational lens galaxies rule out a large cosmological constant?

Mathematics – Probability

Scientific paper

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Cosmology, Galaxies, Gravitational Lenses, Red Shift, Astronomical Models, Einstein Equations

Scientific paper

Consideration is given to the distribution of lens galaxy redshifts in known gravitational lens systems as an extremely powerful means of discriminating between some cosmologies. Within the framework of the Einstein-de Sitter cosmologies, redshifts are predicted for several of the lenses in which they are not currently known. If the lens galaxies are modeled as ellipticals, the predicted redshifts of the lens galaxy for the gravitational lenses PG 1115 + 080 and 1413 + 117 are 0.37 +/-0.18 (0.48+/-0.22) and 0.68 +/-0.33 (0.92+/-0.40) where the errors correspond to one standard deviation in the redshift probability distribution, and the two sets of ranges correspond to sigma-m = sigma or sigma-m = (3/2) exp sigma, where sigma-m is the velocity dispersion characteristic of the mass distribution, and s is the measured velocity dispersion.

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