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Analytical formulas for gravitational lensing

Paolo Amore·Santiago Arceo Diaz
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Abstract

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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Paolo Amore, Santiago Arceo Diaz. 2006-03-21. Analytical formulas for gravitational lensing. https://doi.org/10.1103/physrevd.73.083004

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