Weak lensing and cosmology

摘要

We explore the dependence of weak lensing phenomena on the background cosmology. We first gener- alize the relation between P_ψ(ω), the angular power spectrum of the distortion, and the power spectrum of density fluctuations to nonflat cosmologies. We then compute P_ψ for various illustrative models. A useful cosmological discriminator is the growth of P_ψ with source redshift, which is much stronger in low-matter density models and especially in Λ-dominated models. With even crude redshift information (say from broadband colors), it should be possible to constrain the cosmological world model.