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Astron. Astrophys. 345, 17-21 (1999)

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Power spectrum from weak-shear data

Matthias Bartelmann and Peter Schneider

Max-Planck-Institut für Astrophysik, P.O. Box 1523, D-85740 Garching, Germany (msb, peter@mpa-garching.mpg.de)

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 [FORMULA]) 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 [FORMULA] to within [FORMULA], and [FORMULA] to within [FORMULA] using weak-shear data on a square-shaped field of [FORMULA] 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