Topological Defects in Gravitational Lensing Shear Fields
arXiv:0906.0124 · doi:10.1088/1475-7516/2009/09/034
Abstract
Shear fields due to weak gravitational lensing have characteristic coherent patterns. We describe the topological defects in shear fields in terms of the curvature of the surface described by the lensing potential. A simple interpretation of the characteristic defects is given in terms of the the umbilical points of the potential surface produced by ellipsoidal halos. We show simulated lensing shear maps and point out the typical defect configurations. Finally, we show how statistical properties such as the abundance of defects can be expressed in terms of the correlation function of the lensing potential.
17 pages, 4 figures
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Cited by in corpus (6)
- Umbilic Lines in Orientational Order
- Extrinsic Curvature, Geometric Optics, and Lamellar Order on Curved Substrates
- Stochastic geometry and topology of non-Gaussian fields
- The effect of primordial non-Gaussianity on the skeleton of cosmic shear maps
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- Geometrical detection of weak non-Gaussianity upon coarse-graining