Gravitational lensing in the Kerr-Randers optical geometry

2012/05/31 by M. C. Werner, Marcus C. Werner · 259 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Astrophysics #Classical mechanics #Cosmology and Gravitation Theories #Deflection (physics) #Differential geometry #Einstein #Galaxy #Gauss #Gauss–Bonnet theorem #Geometry #Gravitation #Gravitational lens #Mathematical analysis #Mathematics #Osculating circle #Physics #Quantum mechanics #Relativity and Gravitational Theory #astro-ph.GA #gr-qc #math-ph #math.MP

paper · pdf · doi:10.1007/s10714-012-1458-9

published in General Relativity and Gravitation 44(12), 3047-3057 (Springer Science+Business Media) · 7 pages, 1 figure. Accepted by Gen. Rel. Grav. Version 2: change of notation in sec. 3

openalex publication_date 2012/09/29 · arxiv created 2012/11/15 · arxiv updated 2015/06/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A new geometric method to determine the deflection of light in the equatorial plane of the Kerr solution is presented, whose optical geometry is a surface with a Finsler metric of Randers type. Applying the Gauss-Bonnet theorem to a suitable osculating Riemannian manifold, adapted from a construction by Nazım, it is shown explicitly how the two leading terms of the asymptotic deflection angle of gravitational lensing can be found in this way.

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