Analytical Kerr black hole lensing in the weak deflection limit

Journal Article · Fri Dec 15 04:00:00 EST 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.74.123009· OSTI ID:20868169

Sereno, Mauro ^[1]; De Luca, Fabiana ^[2]

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1. Institut fuer Theoretische Physik, Universitaet Zuerich, Winterthurerstrasse 190, CH-8057 Zurich (Switzerland)
2. Institut fuer Theoretische Physik, Universitaet Zuerich, Winterthurerstrasse 190, CH-8057 Zurich (Switzerland) and Dipartimento di Fisica 'E.R. Caianiello', Universita di Salerno, via Allende, I-84081 Baronissi (SA) (Italy)

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 pointlike. The degeneracy between the black hole spin and its inclination relative to the observer is broken through the angular coordinates of the perturbed images.

• OSTI ID: 20868169
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 12 Vol. 74; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
COORDINATES
COSMOLOGY
GEODESICS
IMAGES
IMPACT PARAMETER
MASS
SCHWARZSCHILD METRIC
SPIN
VISIBLE RADIATION