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Rotating gravitational lenses: a kinematic approach

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posted on 2023-05-18, 06:06 authored by Stephen WaltersStephen Walters, Lawrence ForbesLawrence Forbes
This paper uses the Kerr geodesic equations for massless particles to derive an acceleration vector in both Boyer–Lindquist and Cartesian coordinates. As a special case, the Schwarzschild acceleration due to a non-rotating mass has a particularly simple and elegant form in Cartesian coordinates. Using forward integration, these equations are used to plot the caustic pattern due to a system consisting of a rotating point mass with a smaller non-rotating planet. Additionally, first- and second-order approximations to the paths are identified, which allows for fast approximations of paths, deflection angles and traveltime delays.

History

Publication title

Monthly Notices of the Royal Astronomical Society

Volume

444

Pagination

2470-2486

ISSN

0035-8711

Department/School

School of Natural Sciences

Publisher

Blackwell Publishing Ltd

Place of publication

9600 Garsington Rd, Oxford, England, Oxon, Ox4 2Dg

Rights statement

Copyright 2014 The Authors

Repository Status

  • Open

Socio-economic Objectives

Expanding knowledge in the physical sciences

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