Note on accuracy of the post-Newtonian approximation for extreme-mass ratio inspirals: retrograde orbits

被引：6

作者：

Fujita, Ryuichi ^{[1
]}

Sago, Norichika ^{[2
]}

Nakano, Hiroyuki ^{[3
,4
]}

机构：

[1] Univ Lisbon, CENTRA, Dept Fis, Inst Super Tecn, Ave Rovisco Pais 1, Lisbon, Portugal

[2] Kyushu Univ, Fac Arts & Sci, Fukuoka 8190395, Japan

[3] Ryukoku Univ, Fac Law, Kyoto 6128577, Japan

[4] Kyoto Univ, Dept Phys, Kyoto 6068502, Japan

来源：

CLASSICAL AND QUANTUM GRAVITY | 2018年 / 35卷 / 02期

基金：

欧盟地平线“2020”;

关键词：

extreme-mass ratio inspirals; post-Newtonian approximation; region of validity; EVALUATE HOMOGENEOUS SOLUTIONS; BLACK-HOLE; GRAVITATIONAL-RADIATION; NUMERICAL-METHODS; PARTICLE; FIELD;

D O I：

10.1088/1361-6382/aa9ad5

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The post-Newtonian approximation is useful to discuss gravitational waveforms for binary inspirals. In this note, for retrograde circular orbits in the equatorial plane, we discuss the region of validity of the post-Newtonian approximation by using the gravitational energy flux derived numerically and analytically in the black hole perturbation approach. It is found that the edge of the allowable region behaves quite intricately, including prograde orbits even if we treat higher post-Newtonian orders.

引用

页数：9

共 55 条

[41] Gravitational radiation from a particle in circular orbit around a black hole .6. Accuracy of the post-Newtonian expansion (vol 52, pg 5719, 1995) [J].