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Power spectrum from weak-shear data
Matthias Bartelmann and
Received 29 December 1998 / Accepted 8 February 1999
We demonstrate that the aperture mass as a measure for cosmic shear closely approximates (to better than ) the scaled and shifted power spectrum of the projected mass density. This cosmological weak-lensing information can thus be used to directly infer the projected matter power spectrum with high accuracy. As an application, we show that aperture-mass observations can be used to constrain the cosmic density parameter and the power-spectrum amplitude. We show that, for a particular example, it should be possible to constrain to within , and to within using weak-shear data on a square-shaped field of side length.
Key words: cosmology: observations cosmology: dark matter cosmology: gravitational lensing cosmology: large-scale structure of Universe
© European Southern Observatory (ESO) 1999
Online publication: April 12, 1999