The worldline formalism yields a closed-form NLO plasma-induced deflection angle for power-law electron density, matching previous results where they exist.
Schwarzschild geodesics in terms of elliptic functions and the related red shift
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Using Weierstrassian elliptic functions the exact geodesics in the Schwarzschild metric are expressed in a simple and most transparent form. The results are useful for analytical and numerical applications. For example we calculate the perihelion precession and the light deflection in the post-Einsteinian approximation. The bounded orbits are computed in the post-Newtonian order. As a topical application we calculate the gravitational red shift for a star moving in the Schwarzschild field.
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Gravitational lensing in a plasma from worldlines
The worldline formalism yields a closed-form NLO plasma-induced deflection angle for power-law electron density, matching previous results where they exist.