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Rotating gravitational lenses: a kinematic approach

Citation

Walters, SJ and Forbes, LK, Rotating gravitational lenses: a kinematic approach, Monthly Notices of the Royal Astronomical Society, 444, (3) pp. 2470-2486. ISSN 0035-8711 (2014) [Refereed Article]


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Copyright Statement

Copyright 2014 The Authors

DOI: doi:10.1093/mnras/stu1620

Abstract

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.

Item Details

Item Type:Refereed Article
Keywords:gravitational lensing, mathematical models, planet detection, acceleration of particles
Research Division:Physical Sciences
Research Group:Astronomical and Space Sciences
Research Field:Astronomical and Space Sciences not elsewhere classified
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Physical Sciences
Author:Walters, SJ (Mr Stephen Walters)
Author:Forbes, LK (Professor Larry Forbes)
ID Code:97607
Year Published:2014
Web of Science® Times Cited:2
Deposited By:Mathematics and Physics
Deposited On:2015-01-02
Last Modified:2017-11-01
Downloads:153 View Download Statistics

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