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A note on a linearized approach to gravitational lensing


Walters, SJ and Forbes, LK, A note on a linearized approach to gravitational lensing, Monthly Notices of the Royal Astronomical Society, 416, (4) pp. 3067-3074. ISSN 1365-2966 (2011) [Refereed Article]

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DOI: doi:10.1111/j.1365-2966.2011.19254.x


A recent paper by Walters, Forbes and Jarvis presented new kinematic formulae for ray tracing in gravitational lensing models. The approach can generate caustic maps, but is computationally expensive. Here, a linearized approximation to that formulation is presented. Although still complicated, the linearized equations admit a remarkable closed-form solution. As a result, linearized approximations to the caustic patterns may be generated extremely rapidly, and are found to be in good agreement with the results of full non-linear computation. The usual Einstein-angle approximation is derived as a small angle approximation to the solution presented here.

Item Details

Item Type:Refereed Article
Keywords:acceleration of particles; gravitation; gravitational lensing: strong; gravitational lensing: micro; methods: numerical; planets and satellites: detection
Research Division:Mathematical Sciences
Research Group:Mathematical physics
Research Field:Mathematical aspects of general relativity
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Walters, SJ (Mr Stephen Walters)
UTAS Author:Forbes, LK (Professor Larry Forbes)
ID Code:74410
Year Published:2011
Web of Science® Times Cited:3
Deposited By:Mathematics and Physics
Deposited On:2011-11-30
Last Modified:2017-11-01

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