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Geometrized effective-one-body formalism for extreme-mass-ratio limits: Generic orbits
Zhang, Chen1,2; Han, Wen-Biao1,2,3,4; Zhong, Xing-Yu1,2; Wang, Gang1,2
2021-07-19
Source PublicationPHYSICAL REVIEW D
ISSN2470-0010
Volume104Issue:2Pages:17
AbstractCompact objects inspiraling into supermassive black holes, known as extreme-mass-ratio inspirals, are an important source for future space-borne gravitational-wave detectors. When constructing waveform templates, usually the adiabatic approximation is employed to treat the compact object as a test particle for a short duration, and the radiation reaction is reflected in the changes of the constants of motion. However, the mass of the compact object should have contributions to the background. In the present paper, employing the effective-one-body formalism, we analytically calculate the trajectories of a compact object around a massive Kerr black hole with generally three-dimensional orbits and express the fundamental orbital frequencies in explicit forms. In addition, by constructing an approximate "constant" similar to the Carter constant, we transfer the dynamical quantities such as energy, angular momentum, and the "Carter constant" to the semilatus rectum, eccentricity, and orbital inclination with mass-ratio corrections. The linear mass-ratio terms in the formalism may not be sufficient for accurate waveforms, but our analytical method for solving the equations of motion could be useful in various approaches to building waveform models.
Funding OrganizationNSFC ; NSFC ; NSFC ; NSFC ; NSFC ; NSFC ; NSFC ; NSFC
DOI10.1103/PhysRevD.104.024050
WOS KeywordBLACK-HOLE
Language英语
Funding ProjectNSFC[11773059]
Funding OrganizationNSFC ; NSFC ; NSFC ; NSFC ; NSFC ; NSFC ; NSFC ; NSFC
WOS Research AreaAstronomy & Astrophysics ; Physics
WOS SubjectAstronomy & Astrophysics ; Physics, Particles & Fields
WOS IDWOS:000674580000006
PublisherAMER PHYSICAL SOC
Citation statistics
Document Type期刊论文
Identifierhttp://ir.bao.ac.cn/handle/114a11/76605
Collection中国科学院国家天文台
Corresponding AuthorHan, Wen-Biao
Affiliation1.Chinese Acad Sci, Shanghai Astron Observ, Shanghai 200030, Peoples R China
2.Univ Chinese Acad Sci, Sch Astron & Space Sci, Beijing 100049, Peoples R China
3.UCAS, Hangzhou Inst Adv Study, Sch Fundamental Phys & Math Sci, Hangzhou 310024, Peoples R China
4.Int Ctr Theoret Phys Asia Pacific, Beijing 310024, Peoples R China
Recommended Citation
GB/T 7714
Zhang, Chen,Han, Wen-Biao,Zhong, Xing-Yu,et al. Geometrized effective-one-body formalism for extreme-mass-ratio limits: Generic orbits[J]. PHYSICAL REVIEW D,2021,104(2):17.
APA Zhang, Chen,Han, Wen-Biao,Zhong, Xing-Yu,&Wang, Gang.(2021).Geometrized effective-one-body formalism for extreme-mass-ratio limits: Generic orbits.PHYSICAL REVIEW D,104(2),17.
MLA Zhang, Chen,et al."Geometrized effective-one-body formalism for extreme-mass-ratio limits: Generic orbits".PHYSICAL REVIEW D 104.2(2021):17.
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