Abstract
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 tensor ψB4 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 a2,a3,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.
基金项目
National Natural Science Foundation of China(12035005)
National Key Research and Development Program of China(2020YFC2201400)
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