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Analytical formulas for gravitational lensing: higher order calculation

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arxiv gr-qc/0608089 v1 pith:ZLLGMOW7 submitted 2006-08-18 gr-qc

classification gr-qc
keywords analyticalhighermethodorderaccurateanglecalculatingcalculation
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We extend to higher order a recently published method for calculating the deflection angle of light in a general static and spherically symmetric metric. Since the method is convergent we obtain very accurate analytical expressions that we compare with numerical results.

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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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