2011/02/28 by Amir B. Aazami, Amir Babak Aazami, Charles R. Keeton +1 · 55 citations
Physics and Astronomy · #Adaptive optics and wavefront sensing #Astrophysical Phenomena and Observations #Astrophysics #Black hole (networking) #Classical mechanics #Einstein radius #Galaxy #General relativity #Gravitation #Gravitational lens #Gravitational lensing formalism #Observable #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Redshift #Schwarzschild metric #Schwarzschild radius #Strong gravitational lensing #Weak gravitational lensing #astro-ph.CO #gr-qc
paper · pdf · doi:10.1063/1.3642616
published in Journal of Mathematical Physics 52(10) (American Institute of Physics) · 23 pages; final published version
openalex publication_date 2011/10/01 · arxiv created 2011/10/12 · arxiv updated 2015/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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 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.