Journal
GENERAL RELATIVITY AND GRAVITATION
Volume 44, Issue 12, Pages 3047-3057Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10714-012-1458-9
Keywords
Kerr black hole; Gravitational lensing; Finsler geometry
Funding
- World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan
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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 NazA +/- 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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