Self-consistent effective-one-body theory for spinless binaries based on post-Minkowskian approximation I:Hamiltonian and decoupled equation forψ^(B)_(4)

作     者：Jiliang Jing Shuai Chen Manman Sun Xiaokai He Mengjie Wang Jieci Wang Jiliang Jing;Shuai Chen;Manman Sun;Xiaokai He;Mengjie Wang;Jieci Wang

作者机构：Department of PhysicsKey Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of EducationSynergetic Innovation Center for Quantum Effects and ApplicationsHunan Normal UniversityChangsha 410081China Center for Gravitation and CosmologyCollege of Physical Science and TechnologyYangzhou UniversityYangzhou 225009China School of Mathematics and StatisticsHunan First Normal UniversityChangsha 410205China 

出 版 物：《Science China(Physics,Mechanics & Astronomy)》 (中国科学：物理学、力学、天文学（英文版）)

年 卷 期：2022年第65卷第6期

页      面：53-59页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0704[理学-天文学] 0701[理学-数学] 0702[理学-物理学] 

基　　金：This work was supported by the National Natural Science Foundation of China(Grant Nos.12035005,12122504,and 11875025) National Key Research and Development Program of China(Grant No.2020YFC2201400). 

主　　题：post-Minkowskian approximation effective-one-body theory decoupled equation forψ^(B)_(4) 

摘      要：To build a self-consistent effective-one-body(EOB)theory,in which the Hamiltonian,radiation-reaction force and waveform for the“plusand“crossmodes of the gravitational wave should be based on the same effective background spacetime,the key step is to look for the decoupled equation forψ^(B)_(4)=h_(+)−ih_(×),which seems a very difficult task because there are non-vanishing tetrad components of the tracefree Ricci tensor for such spacetime.Fortunately,based on an effective spacetime obtained in this paper by using the post-Minkowskian(PM)approximation,we find the decoupled equation forψ^(B)_(4)by dividing the perturbation part of the metric into the odd and even parities.With the effective metric and decoupled equation at hand,we set up a frame of self-consistent EOB model for spinless binaries.