Analytical formulas for gravitational lensing
广义相对论与量子宇宙学
2009-11-11 v2
摘要
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.
引用
@article{arxiv.gr-qc/0602106,
title = {Analytical formulas for gravitational lensing},
author = {Paolo Amore and Santiago Arceo Diaz},
journal= {arXiv preprint arXiv:gr-qc/0602106},
year = {2009}
}
备注
12 pages, 6 figures; added one section with estimation of the rate of convergence of the method; modified fig.2; added some refs