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Analytical formulas for gravitational lensing

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arxiv gr-qc/0602106 v2 pith:ZG6PPN4E submitted 2006-02-25 gr-qc

Paolo Amore , Santiago Arceo Diaz This is my paper · ORCID
classification gr-qc
keywords accurateanalyticalfirstmethodmetricorderalreadyangle
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In this paper we discuss a new method which can be used to obtain arbitrarily accurate analytical expressions for the deflection angle of light propagating in a given metric. Our method works by mapping the integral into a rapidly convergent series and provides extremely accurate approximations already to first order. We have derived a general first order formula for a generic spherically symmetric static metric tensor and we have tested it in four different cases.

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  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.

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