Gravitational lensing in the Kerr-Randers optical geometry

By M. Werner. 2012

229 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics

View Paper: https://www.semanticscholar.org/paper/1543e81823f2447d905aee0494efc79dc315d696

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In Astronomy and Astrophysics

1. A. Ovgun
2. Rahul Kumar
3. K. Jusufi
4. Sushant G. Ghosh
5. M. Jamil
6. I. Sakalli
7. Qiang Wu
8. Shafqat Ul Islam

Citations in the corpus

• Gravitational lensing by black holes in the 4D Einstein-Gauss-Bonnet gravity (2020, background): “Gaussian curvature of the surface of light propagation is defined as [90]”
• Shadow cast and deflection angle of Kerr-Newman-Kasuya spacetime (2018, methodology): “Then Werner extended to the stationary black holes by employing the FinslerRanders type optical geometry with Nazım’s osculating Riemannian manifold [75].”
• Shadows and deflection angle of charged and slowly rotating black holes in Einstein-Æther theory (2019, methodology): “Werner extended this method to compute the deflection angle by a Kerr black hole using the Kerr-Randers optical geometry [66].”