Weak gravitational lensing of finite beams
arXiv:1706.09383 · doi:10.1103/PhysRevLett.119.191101
Abstract
The standard theory of weak gravitational lensing relies on the infinitesimal light beam approximation. In this context, images are distorted by convergence and shear, the respective sources of which unphysically depend on the resolution of the distribution of matter---the so-called Ricci-Weyl problem. In this letter, we propose a strong-lensing-inspired formalism to describe the lensing of finite beams. We address the Ricci-Weyl problem by showing explicitly that convergence is caused by the matter enclosed by the beam, regardless of its distribution. Furthermore, shear turns out to be systematically enhanced by the finiteness of the beam. This implies, in particular, that the Kaiser-Squires relation between shear and convergence is violated, which could have profound consequences on the interpretation of weak lensing surveys.
6 pages, 2 figures, v2: matches published version, some typos corrected
References in corpus (5)
- KiDS-450: The tomographic weak lensing power spectrum and constraints on cosmological parameters
- Do stochastic inhomogeneities affect dark-energy precision measurements?
- Teraflop per second gravitational lensing ray-shooting using graphics processing units
- Ricci focusing, shearing, and the expansion rate in an almost homogeneous Universe
- From planes to spheres: About gravitational lens magnifications
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