# Unfolding the matter distribution using three-dimensional weak gravitational lensing

@article{Simon2009UnfoldingTM, title={Unfolding the matter distribution using three-dimensional weak gravitational lensing}, author={P. Simon and Andy N. Taylor and Jan Hartlap}, journal={Monthly Notices of the Royal Astronomical Society}, year={2009}, volume={399}, pages={48-68} }

Combining redshift and galaxy shape information offers new exciting ways of exploiting the gravitational lensing effect for studying the large scales of the cosmos. One application is the three-dimensional (3D) reconstruction of the matter density distribution which is explored in this paper. We give a generalization of an already known minimum-variance estimator of the 3D matter density distribution that facilitates the combination of thin redshift slices of sources with samples of broad… Expand

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#### References

SHOWING 1-10 OF 54 REFERENCES

Weak-Lensing Surveys and the Intrinsic Correlation of Galaxy Ellipticities

- Physics
- 2000

We explore the possibility that an intrinsic correlation between galaxy ellipticities arising during the galaxy formation process may account for part of the shear signal recently reported by several… Expand

Mapping the 3D dark matter potential with weak shear

- Physics
- 2003

We investigate the practical implementation of Taylor's three-dimensional gravitational potential reconstruction method using weak gravitational lensing, together with the requisite reconstruction of… Expand

Weak Lensing Reconstruction and Power Spectrum Estimation: Minimum Variance Methods

- Physics
- 1998

Large-scale structure distorts the images of background galaxies, which allows one to measure directly the projected distribution of dark matter in the universe and determine its power spectrum. Here… Expand

COSMOS: Three-dimensional Weak Lensing and the Growth of Structure*

- Physics
- 2007

We present a three-dimensional cosmic shear analysis of the Hubble Space Telescope COSMOS survey, the largest ever optical imaging program performed in space. We have measured the shapes of galaxies… Expand

Intrinsic correlation of galaxy shapes: implications for weak lensing measurements

- Physics
- 2000

Weak gravitational lensing is now established as a powerful method to measure mass fluctuations in the universe. It relies on the measurement of small coherent distortions of the images of background… Expand

Three-dimensional mapping of dark matter

- Physics
- 2002

We study the prospects for three-dimensional mapping of the dark matter to high redshift through the shearing of faint galaxies images at multiple distances by gravitational lensing. Such maps could… Expand

GaBoDS: The Garching-Bonn Deep Survey - VI. Probing galaxy bias using weak gravitational lensing

- Physics
- 2007

Aims. An interesting question of contemporary cosmology concerns the relation between the spatial distribution of galaxies and dark matter, which is thought to be the driving force behind the… Expand

Cosmology with weak lensing surveys.

- Physics, Medicine
- Philosophical transactions. Series A, Mathematical, physical, and engineering sciences
- 2005

Various aspects of probing the matter power spectrum and the bi-spectrum and other related statistics with weak lensing surveys are described to probe the background dynamics of the universe as well as the nature of dark matter and dark energy. Expand

Spin-induced Galaxy Alignments and Their Implications for Weak-Lensing Measurements

- Physics
- 2000

Large-scale correlations in the orientations of galaxies can result from alignments in their angular momentum vectors. These alignments arise from the tidal torques exerted on neighboring… Expand

Wiener reconstruction of the IRAS 1.2-Jy galaxy redshift survey: cosmographical implications

- Physics
- 1997

We utilize the method of Wiener reconstruction with spherical harmonics and Bessel functions to recover the density and velocity fields from the IRAS 1.2-Jy redshift survey. The reconstruction relies… Expand