Analytical formulas for gravitational lensing

被引：29

作者：

Amore, P ^{[1
]}

Arceo, S ^{[1
]}

机构：

[1] Univ Colima, Fac Ciencias, Colima, Mexico

来源：

PHYSICAL REVIEW D | 2006年 / 73卷 / 08期

关键词：

D O I：

10.1103/PhysRevD.73.083004

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

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.

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页数：9

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