Higher-order corrections for the deflection of light around a massive object
General Relativity and Quantum Cosmology
2017-01-20 v2
Abstract
From the Schwarzschild metric we obtain the higher-order terms (up to 20-th order) for the deflection of light around a massive object using the Lindstedt-Poincar\'e method to solve the equation of motion of a photon around the stellar object. Additionally, we obtain diagonal Pad\'e approximants from the perturbation expansion, and we show how these are a better fit for the numerical data. Furthermore, we use these approximants in ray-tracing algorithms to model the bending of light around the massive object.
Cite
@article{arxiv.1701.04434,
title = {Higher-order corrections for the deflection of light around a massive object},
author = {Carlos Rodriguez and Carlos Marín},
journal= {arXiv preprint arXiv:1701.04434},
year = {2017}
}
Comments
24 pages, 8 figures paper to be submitted