Gravitational self-force corrections to tidal invariants for particles on circular orbits in a Kerr spacetime

被引：5

作者：

Bini, Donato ^{[1
]}

Geralico, Andrea ^{[1
]}

机构：

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

来源：

PHYSICAL REVIEW D | 2018年 / 98卷 / 06期

关键词：

RELATIVISTIC CELESTIAL MECHANICS; TEUKOLSKY EQUATION; ANALYTIC SOLUTIONS; PERTURBATIONS;

D O I：

10.1103/PhysRevD.98.064040

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We generalize to the Kerr spacetime existing self-force results on tidal invariants for particles moving along circular orbits around a Schwarzschild black hole. We obtain linear-in-mass-ratio (conservative) corrections to the quadratic and cubic electric-type invariants and the quadratic magnetic-type invariant in series of the rotation parameter up to the fourth order and through the ninth and eighth post-Newtonian orders, respectively. We then analytically compute the associated eigenvalues of both electric and magnetic tidal tensors.

引用

页数：12

共 33 条

[31] Confirming and improving post-Newtonian and effective-one-body results from self-force computations along eccentric orbits around a Schwarzschild black hole [J].

Bini, Donato ;

Damour, Thibault ;

Geralico, Andrea .

PHYSICAL REVIEW D, 2016, 93 (06)

[32] Post-Newtonian observables for aligned-spin binaries to sixth order in spin from gravitational self-force and Compton amplitudes [J].

Bautista, Yilber Fabian ;

Khalil, Mohammed ;

Sergola, Matteo ;

Kavanagh, Chris ;

Vines, Justin .

PHYSICAL REVIEW D, 2024, 110 (12)

[33] Analytic determination of the eight-and-a-half post-Newtonian self-force contributions to the two-body gravitational interaction potential [J].

Bini, Donato ;

Damour, Thibault .

PHYSICAL REVIEW D, 2014, 89 (10)

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