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

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arxiv 0807.3872 v2 pith:FPQCEYUE submitted 2008-07-24 gr-qc astro-ph

classification gr-qcastro-ph
keywords lensgravitationalapproximateequationequationslensingohaniantreatment
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Phase-plane formulation of weak gravitational deflection in static spherical spacetimes

    gr-qc 2026-08 accept novelty 6.0 of 10

    The Schwarzschild weak-deflection angle is derived to all orders from a phase-plane amplitude cubic, giving an explicit coefficient formula with convergence radius at the photon sphere.

  2. Probing Lorentz Symmetry Violation through Lensing Observables of Rotating Black Holes

    gr-qc 2025-08 reject novelty 5.0 of 10

    A rotating Bumblebee black hole is shown to produce strong-lensing observables that deviate from Kerr, with EHT shadow data and an Einstein ring observation used to constrain the Lorentz-violating parameter ell.

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