Decaying $\Lambda$ cosmologies and statistical properties of gravitational lenses

Abstract

In this paper we investigate the statistical properties of gravitational lenses for models in which a cosmological term decreases with time as $\Lambda \propto a^{-m}$, where $a$ is the scale factor and $m$ is a parameter ($0\le m<3$). We show that for given low values of the present matter density parameter ${\Omega }_{m0}$, there is a wide range of values for $m$ for which the lensing rate is significantly smaller than that in cosmological constant ($\Lambda$) models. We also show that models with low ${\Omega }_{m0}$ and $m\stackrel{>}{\sim }2$ have high likelihood to reproduce the observed lens statistics in the HST snapshot survey.

reformated file, 19 pages, Latex, 8 figures available on request

References in corpus (1)

• Visibility of Gravitational Lenses and the Cosmological Constant Problem

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