Light deflection around a spherical charged black hole to second order. Multivariate Padé approximants

2019/07/10 by Marín, Carlos A., Poveda, Jorge
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)

paper · doi:10.48550/arxiv.1907.05265

Abstract

From the Reissner-Nordstrom metric we obtain the higher-order terms for the deflection of light around a massive-charged black hole using the Lindstedt-Poincaré method to solve the equation of motion of a photon around the compact object. The corrections are performed developing the expansion in terms of ε=\fracr_cb and \fracδb= \fracQ²6 πε₀Mc² b. Additionally, from the perturbation expansion, we obtain multivariate Padé approximants. We also show how these are a better fit for the numerical data than the original formal Taylor series.

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