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arxiv: 1205.3876 · v2 · submitted 2012-05-17 · 🌀 gr-qc · astro-ph.GA· math-ph· math.MP

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Gravitational lensing in the Kerr-Randers optical geometry

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classification 🌀 gr-qc astro-ph.GAmath-phmath.MP
keywords deflectiongeometrygravitationallensingopticaladaptedangleapplying
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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 Naz\i m, 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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Hadronic lensing

    gr-qc 2026-05 unverdicted novelty 6.0

    Hadrons modeled by the nonlinear sigma model give photons a coordinate-dependent effective mass, yielding analytic expressions for the refractive index and a hadronic correction to the weak-field deflection angle arou...

  2. Hadronic lensing

    gr-qc 2026-05 unverdicted novelty 6.0

    Hadrons described by the nonlinear sigma model minimally coupled to Maxwell theory modify photon paths away from null geodesics, enabling analytic hadronic corrections to gravitational lensing deflection angles.