Lensing by Kerr Black Holes. I: General Lens Equation and Magnification Formula

Abstract

We develop a unified, analytic framework for gravitational lensing by Kerr black holes. In this first paper we present a new, general lens equation and magnification formula governing lensing by a compact object. Our lens equation assumes that the source and observer are in the asymptotically flat region and does not require a small angle approximation. Furthermore, it takes into account the displacement that occurs when the light ray's tangent lines at the source and observer do not meet on the lens plane. We then explore our lens equation in the case when the compact object is a Kerr black hole. Specifically, we give an explicit expression for the displacement when the observer is in the equatorial plane of the Kerr black hole as well as for the case of spherical symmetry.

11 pages; final published version

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• Holonomy corrected Schwarzschild black hole lensing
• Equatorial light bending around Kerr-Newman black holes
• Strong gravitational lensing in a spacetime with topological charge within the Eddington-inspired Born-Infeld gravity
• An asymptotically consistent approximant for the equatorial bending angle of light due to Kerr black holes
• Light defection due to a charged, rotating body
• Topologically Charged Holonomy corrected Schwarzschild black hole lensing
• Light deflection and gravitational lensing effects inspired by loop quantum gravity
• Strong Lensing and Nonminimally Coupled Electromagnetism
• An Examination of Geometrical and Potential Time Delays in Gravitational Lensing
• Total light bending in non-asymptotically flat black hole spacetimes
• Accurate closed-form trajectories of light around a Kerr black hole using asymptotic approximants
• Mapping weak lensing distortions in the Kerr metric
• Non-Equatorial Deflection of Light due to Kerr-Newman Black Hole: A Material Medium Approach
• Efficient gravitational lens optical scalars calculation of black holes with angular momentum
• Examining the Kerr Metric through Wave Fronts of Null Geodesics
• Angular Location of the $n^{th}$ Einstein Ring at large $n$
• What are the parities of photon-ring images near a black hole?