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We present a formal derivation of the key equations governing gravitational lensing in arbitrary space-times, starting from the basic properties of Jacobi fields and their expressions in terms of the exponential map.
The large scale structure of space-time
S W Hawking and G F R Ellis · 1973
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Class. Quantum Grav
V Perlick · 1990
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S Seitz, P Schneider, and J Ehlers · 1994
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Global Lorentzian Geometry
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Class. Quantum Grav
V Perlick · 1996
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J P Uzan and F Bernardeau · 2000
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Calculus of Variations
I M Gelfand and S V Fomin · 2000
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Einstein’s Field Equations and their Physical Implications: Selected Essays in Honour of Jurgen Ehlers
V Perlick · 2000
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Physics Reports
M Bartelmann and P Schneider · 2001
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www.blau.itp.unibe.ch/lecturesPP.pdf
M Blau
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General Relativity and Astrophysics
N Straumann · 2004
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Phys. Rev D
C Schimd, J P Uzan, and A Riazuelo · 2005
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Physics Reports
A Lewis and A Challinor · 2006
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Gen. Rel. Grav
V Perlick · 2008
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Class. Quantum Grav
M Bartelmann · 2010
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