Mapping the 3-D Dark Matter potential with weak shear

Details Mapping the 3-D Dark Matter potential with weak shear Mapping the 3-D Dark Matter potential with weak shear

2002-12-11

arxiv.org/abs/astro-ph/0212266v1

Mon.Not.Roy.Astron.Soc.344:1307,2003

Astronomy and Astrophysics

Astrophysics

21 pages, including 24 figures, submitted to MNRAS

Scientific paper

10.1046/j.1365-8711.2003.06922.x

We investigate the practical implementation of Taylor's (2002) 3-dimensional gravitational potential reconstruction method using weak gravitational lensing, together with the requisite reconstruction of the lensing potential. This methodology calculates the 3-D gravitational potential given a knowledge of shear estimates and redshifts for a set of galaxies. We analytically estimate the noise expected in the reconstructed gravitational field, taking into account the uncertainties associated with a finite survey, photometric redshift uncertainty, redshift-space distortions, and multiple scattering events. In order to implement this approach for future data analysis, we simulate the lensing distortion fields due to various mass distributions. We create catalogues of galaxies sampling this distortion in three dimensions, with realistic spatial distribution and intrinsic ellipticity for both ground-based and space-based surveys. Using the resulting catalogues of galaxy position and shear, we demonstrate that it is possible to reconstruct the lensing and gravitational potentials with our method. For example, we demonstrate that a typical ground-based shear survey with redshift limit z=1 and photometric redshifts with error Delta z=0.05 is directly able to measure the 3-D gravitational potential for mass concentrations >10^14 M_\odot between 0.1

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