期刊
JOURNAL OF MATHEMATICAL PHYSICS
卷 52, 期 10, 页码 -出版社
AMER INST PHYSICS
DOI: 10.1063/1.3642616
关键词
black holes; gravitational lenses
资金
- National Science Foundation (NSF) [DMS-0707003]
In this second paper, we develop an analytical theory of quasi-equatorial lensing by Kerr black holes. In this setting we solve perturbatively our general lens equation with displacement given in Paper I, going beyond weak-deflection Kerr lensing to third order in our expansion parameter epsilon, 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 epsilon and including the displacement. New results on the time delay between images are also given to second order in epsilon, again including displacement. For all lensing observables we show that the displacement begins to appear only at second order in epsilon. When there is no spin, we obtain new results on the lensing observables for Schwarzschild lensing with displacement. (C) 2011 American Institute of Physics. [doi: 10.1063/1.3642616]
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