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Comparison of approximate gravitational lens equations and a proposal for an improved new one

V. BozzaDipartimento di Fisica “E.R. Caianiello,” Università di Salerno, via Allende, I-84081 Baronissi (SA), Italy and Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, Italy
2008en
ABI

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Keeping the exact general relativistic treatment of light bending as a reference, we compare the accuracy of commonly used approximate lens equations. We conclude that the best approximate lens equation is the Ohanian lens equation, for which we present a new expression in terms of distances between observer, lens, and source planes. We also examine a realistic gravitational lensing case, showing that the precision of the Ohanian lens equation might be required for a reliable treatment of gravitational lensing and a correct extraction of the full information about gravitational physics.

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