Mapping weak lensing distortions in the Kerr metric

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Title: Mapping weak lensing distortions in the Kerr metric
Authors: Renzini, AI
Contaldi, CR
Heavens, A
Item Type: Journal Article
Abstract: Einstein ’ s theory of General Relativity implies that energy, i.e., matter, curves space-time and thus deforms lightlike geodesics, giving rise to gravitational lensing. This phenomenon is well understood in the case of the Schwarzschild metric and has been accurately described in the past; however, lensing in the Kerr space-time has received less attention in the literature despite potential practical observational applications. In particular, lensing in such space is not expressible as the gradient of a scalar potential and as such is a source of curl-like signatures and an asymmetric shear pattern. In this paper, we develop a differentiable lensing map in the Kerr metric, reworking and extending previous approaches. By using standard tools of weak gravitational lensing, we isolate and quantify the distortion that is uniquely induced by the presence of angular momentum in the metric. We apply this framework to the distortion induced by a Kerr-like foreground object on a distribution of background of sources. We verify that the new unique lensing signature is orders of magnitude below current observational bounds for a range of lens configurations.
Issue Date: 26-Jun-2017
Date of Acceptance: 27-Mar-2017
ISSN: 2470-0010
Publisher: American Physical Society
Journal / Book Title: Physical Review D
Volume: 95
Issue: 12
Copyright Statement: © 2017 American Physical Society
Sponsor/Funder: Imperial College Trust
Science and Technology Facilities Council (STFC)
Science and Technology Facilities Council
Science and Technology Facilities Council (STFC)
Funder's Grant Number: N/A
Keywords: Science & Technology
Physical Sciences
Astronomy & Astrophysics
Physics, Particles & Fields
Publication Status: Published
Article Number: ARTN 124047
Appears in Collections:Physics
Theoretical Physics
Faculty of Natural Sciences

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