New gravitational self-force analytical results for eccentric orbits around a Schwarzschild black hole

被引：37

作者：

Bini, Donato ^{[1
]}

Damour, Thibault ^{[2
]}

Geralico, Andrea ^{[1
]}

机构：

[1] CNR, Ist Applicaz Calcolo M Picone, I-00185 Rome, Italy

[2] Inst Hautes Etud Sci, 35 Route Chartres, F-91440 Bures Sur Yvette, France

来源：

PHYSICAL REVIEW D | 2016年 / 93卷 / 10期

关键词：

EQUATION;

D O I：

10.1103/PhysRevD.93.104017

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We raise the analytical knowledge of the eccentricity expansion of the Detweiler-Barack-Sago redshift invariant in a Schwarzschild spacetime up to the 9.5th post-Newtonian order (included) for the e(2) and e(4) contributions, and up to the 4th post-Newtonian order for the higher eccentricity contributions through e(20). We convert this information into an analytical knowledge of the effective-one-body radial potentials (d) over bar (u), p(u) and q(u) through the 9.5th post-Newtonian order. We find that our analytical results are compatible with current corresponding numerical self-force data.

引用

页数：27

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