Analytical effective one-body formalism for extreme-mass-ratio inspirals with eccentric orbits

作     者：Chen Zhang Wen-Biao Han Shu-Cheng Yang Chen Zhang;Wen-Biao Han;Shu-Cheng Yang

作者机构：Shanghai Astronomical ObservatoryChinese Academy of SciencesShanghai200030China School of Astronomy and Space ScienceUniversity of Chinese Academy of Sciences Beijing100049China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2021年第73卷第8期

页      面：96-113页

核心收录：

学科分类：07[理学] 070401[理学-天体物理] 0704[理学-天文学] 0702[理学-物理学] 

基　　金：NSFC No.11773059 supported by MEXT,the JSPS Leading-edge Research Infrastructure Program,JSPS Grantin-Aid for Specially Promoted Research 26000005,JSPS Grant-in-Aid for Scientific Research on Innovative Areas 2905:JP17H06358,JP17H06361,and JP17H06364,JSPS Core-to-Core Program A.Advanced Research Networks,JSPS Grant-in-Aid for Scientific Research(S)17H06133,the joint research program of the Institute for Cosmic Ray Research,the University of Tokyo the Key Research Program of Frontier Sciences,CAS,No.QYZDB-SSWSYS016 

主　　题：gravitational wave extreme-mass-ratio inspiral effective one-body 

摘      要：Extreme-mass-ratio inspirals(EMRIs)are among the most important sources for future spaceborne gravitational wave *** this kind of system,compact objects usually orbit around central supermassive black holes on complicated ***,these trajectories are approximated as the geodesics of Kerr space-times,and orbital evolution is simulated with the help of the adiabatic ***,this approach omits the influence of the compact object on its *** this paper,using the effective one-body formalism,we analytically calculate the trajectory of a nonspinning compact object around a massive Kerr black hole in an equatorial eccentric orbit(omitting the orbital inclination)and express the fundamental orbital frequencies in explicit *** formalism includes the first-order corrections for the mass ratio in the conservative orbital ***,we insert the mass-ratio-related terms into the first post-Newtonian energy *** calculating the gravitational waves using the Teukolsky equations,we quantitatively reveal the influence of the mass of the compact object on the data *** find that the shrinking of geodesic motion by taking small objects as test particles may not be appropriate for the detection of EMRIs.