2470 Walters.pdf (1.16 MB)
Rotating gravitational lenses: a kinematic approach
journal contribution
posted on 2023-05-18, 06:06 authored by Stephen WaltersStephen Walters, Lawrence ForbesLawrence ForbesThis 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 SocietyVolume
444Pagination
2470-2486ISSN
0035-8711Department/School
School of Natural SciencesPublisher
Blackwell Publishing LtdPlace of publication
9600 Garsington Rd, Oxford, England, Oxon, Ox4 2DgRights statement
Copyright 2014 The AuthorsRepository Status
- Open