Effective-one-body Hamiltonian in scalar-tensor gravity at third post-Newtonian order

被引：9

作者：

Jain, Tamanna ^{[1
]}

Rettegno, Piero ^{[2
]}

Agathos, Michalis ^{[1
,3
]}

Nagar, Alessandro ^{[2
,4
]}

Turco, Lorenzo ^{[5
,6
]}

机构：

[1] Univ Cambridge, Dept Appl Math & Theoret Phys, Wilberforce Rd, Cambridge CB3 0WA, England

[2] INFN Sez Torino, Via P Giuria 1, I-10125 Turin, Italy

[3] Univ Cambridge, Kavli Inst Cosmol Cambridge, Madingley Rd, Cambridge CB3 0HA, England

[4] Inst Hautes Etud Sci, F-91440 Bures Sur Yvette, France

[5] Univ Genoa, Dipartimento Fis, I-16146 Genoa, Italy

[6] INFN, Sez Genova, I-16146 Genoa, Italy

来源：

PHYSICAL REVIEW D | 2023年 / 107卷 / 08期

关键词：

FIELD; LAGRANGIANS;

D O I：

10.1103/PhysRevD.107.084017

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We determine the general local-in-time effective-one-body (EOB) Hamiltonian for massless scalar -tensor (ST) theories at third post-Newtonian (PN) order. Starting from the Lagrangian derived in Bernard [Phys. Rev. D 99, 044047 (2019)], we map it to the corresponding ordinary Hamiltonian describing the two-body interaction in ST theories at 3PN level. Using a canonical transformation, we then map this onto an EOB Hamiltonian so as to determine the ST corrections to the 3PN-accurate EOB potentials oA, B, Qe thorn at 3PN. We then focus on circular orbits and compare the effect of the newly computed 3PN terms, also completed with finite-size and nonlocal-in-time contributions, on predictions for the frequency at the innermost stable circular orbit. Our results will be useful to build high-accuracy waveform models in ST theory, which could be used to perform precise tests against general relativity using gravitational wave data from coalescing compact binaries.

引用

页数：19

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