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Gravitational lensing in the Kerr-Randers optical geometry

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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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Acknowledgments

This work was supported by World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan.

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Authors and Affiliations

  1. Kavli Institute for the Physics and Mathematics of the Universe, University of Tokyo, 5-1-5 Kashiwanoha, Kashiwa, 277-8583, Japan

    M. C. Werner

  2. Department of Mathematics, Duke University, Durham, NC, 27708, USA

    M. C. Werner

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  1. M. C. Werner
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Correspondence to M. C. Werner.

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Werner, M.C. Gravitational lensing in the Kerr-Randers optical geometry. Gen Relativ Gravit 44, 3047–3057 (2012). https://doi.org/10.1007/s10714-012-1458-9

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  • DOI: https://doi.org/10.1007/s10714-012-1458-9

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