Math @ Duke

Publications [#243976] of Arlie O. Petters
Papers Published
 Aazami, AB; Keeton, CR; Petters, AO, Lensing by Kerr black holes. II: Analytical study of quasiequatorial lensing observables,
Journal of Mathematical Physics, vol. 52 no. 10
(2011),
pp. 102501, ISSN 00222488 [doi]
(last updated on 2018/02/23)
Abstract: In this second paper, we develop an analytical theory of quasiequatorial lensing by Kerr black holes. In this setting we solve perturbatively our general lens equation with displacement given in Paper I, going beyond weakdeflection Kerr lensing to third order in our expansion parameter ε, which is the ratio of the angular gravitational radius to the angular Einstein radius. We obtain new formulas and results for the bending angle, image positions, image magnifications, total unsigned magnification, and centroid, all to third order in ε and including the displacement. New results on the time delay between images are also given to second order in ε, again including displacement. For all lensing observables we show that the displacement begins to appear only at second order in ε. When there is no spin, we obtain new results on the lensing observables for Schwarzschild lensing with displacement. © 2011 American Institute of Physics.


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