Energy flux and waveform of gravitational wave generated by coalescing slow-spinning binary system in effective one-body theory  

作　　者：Weike Deng Sheng Long Jiliang Jing 

机构地区：[1]Department of Physics,Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education,and Synergetic Innovation Center for Quantum Effects and Applications,Hunan Normal University,Changsha 410081,China [2]Center for Gravitation and Cosmology,College of Physical Science and Technology,Yangzhou University,Yangzhou 225009,China

出　　处：《Science China(Physics,Mechanics & Astronomy)》2024年第9期73-83,共11页中国科学：物理学、力学、天文学（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant No.12035005);the National Key Research and Development Program of China(Grant No.2020YFC2201400)。

摘　　要：We extend our research on the energy flux and waveform characteristics of gravitational waves generated by merging nonspinning binary black holes through self-consistent effective one-body theory to include binary systems with slowly spinning black holes.Initially,we decompose the equation for the null tetrad component of the gravitationally perturbed Weyl tensorψ_4~B into radial and angular parts,leveraging the second-order approximation of the rotation parameter a.Subsequently,we derive an analytical solution for the radial equation and observe that our results are contingent upon the parameters a_(2),a_(3),and a,which represent the second-and third-order correction parameters,respectively.Ultimately,we calculate the energy flux,the radiation-reaction force and the waveform for the“plus”and“cross”modes of the gravitational waves generated by merging slowly spinning binary black holes.

关 键 词：post-Minkowskian approximation effective-one-body theory gravitational waveform template 

分 类 号：O412.1[理学—理论物理]