Analytical Kerr black hole lensing in the weak deflection limit

Details Analytical Kerr black hole lensing in the weak deflection limit Analytical Kerr black hole lensing in the weak deflection limit

2006-09-15

arxiv.org/abs/astro-ph/0609435v2

Phys.Rev. D74 (2006) 123009

Astronomy and Astrophysics

Astrophysics

12 pages; minor changes to match the version in press on Phys. Rev. D

Scientific paper

10.1103/PhysRevD.74.123009

We present an analytical treatment of gravitational lensing by a Kerr black hole in the weak deflection limit. Lightlike geodesics are expanded as a Taylor series up to and including third-order terms in m/b and a/b, where m is the black hole mass, a the angular momentum and b the impact parameter of the light ray. Positions and magnifications of individual images are computed with a perturbative analysis. At this order, the degeneracy with the translated Schwarzschild lens is broken. The critical curve is still a circle displaced from the black hole position in the equatorial direction and the corresponding caustic is point-like. The degeneracy between the black hole spin and its inclination relative to the observer is broken through the angular coordinates of the perturbed images.

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