Lensing by Kerr black holes. I. General lens equation and magnification formula

Amir B. Aazami, Charles R. Keeton, A. O. Petters

Research output: Contribution to journalArticlepeer-review

28 Scopus citations


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.

Original languageEnglish (US)
Article number092502
JournalJournal of Mathematical Physics
Issue number9
StatePublished - Sep 23 2011

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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