An asymptotically consistent approximant for the equatorial bending angle of light due to Kerr black holes

被引：19

作者：

Barlow, Nathaniel S. ^{[1
]}

Weinstein, Steven J. ^{[2
]}

Faber, Joshua A. ^{[1
,3
]}

机构：

[1] Rochester Inst Technol, Sch Math Sci, Rochester, NY 14623 USA

[2] Rochester Inst Technol, Dept Chem Engn, Rochester, NY 14623 USA

[3] Rochester Inst Technol, Ctr Computat Relat & Gravitat, Rochester, NY 14623 USA

来源：

CLASSICAL AND QUANTUM GRAVITY | 2017年 / 34卷 / 13期

基金：

美国国家科学基金会;

关键词：

geodesics; light deflection; Kerr black holes; asymptotic approximants; PUBLIC CODE; FIELD; NEWMAN; SPHERE;

D O I：

10.1088/1361-6382/aa7538

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

An accurate closed-form expression is provided to predict the bending angle of light as a function of impact parameter for equatorial orbits around Kerr black holes of arbitrary spin. This expression is constructed by assuring that the weak-and strong-deflection limits are explicitly satisfied while maintaining accuracy at intermediate values of impact parameter via the method of asymptotic approximants (Barlow et al 2017 Q.J. Mech. Appl. Math. 70 21-48). To this end, the strong deflection limit for a prograde orbit around an extremal black hole is examined, and the full non-vanishing asymptotic behavior is determined. The derived approximant may be an attractive alternative to computationally expensive elliptical integrals used in black hole simulations.

引用

页数：16

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