Strong Field Limit of Black Hole Gravitational Lensing

2001/02/14 by V. Bozza, S. Capozziello, Salvatore Capozzıello +3 · 447 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Astrophysics #Black Holes and Theoretical Physics #Black hole (networking) #Classical mechanics #Field (mathematics) #Galaxy #General relativity #Gravitation #Gravitational lens #Gravitational lensing formalism #Limit (mathematics) #Mathematical analysis #Physics #Pulsars and Gravitational Waves Research #Quantum electrodynamics #Redshift #Schwarzschild metric #Schwarzschild radius #Strong gravitational lensing #Theoretical physics #Weak gravitational lensing #astro-ph #gr-qc

paper · pdf · doi:10.1023/a:1012292927358

published in General Relativity and Gravitation 33(9), 1535-1548 (Springer Science+Business Media) · 11 pages, 3 figures

arxiv created 2001/02/14 · openalex publication_date 2001/09/01 · arxiv updated 2015/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We give the formulation of the gravitational lensing theory in the strong field limit for a Schwarzschild black hole as a counterpart to the weak field approach. It is possible to expand the full black hole lens equation to work a simple analytical theory that describes at a high accuracy degree the physics in the strong field limit. In this way, we derive compact and reliable mathematical formulae for the position of additional critical curves, relativistic images and their magnification, arising in this limit.

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