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arXiv · 2405.16423

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

Weike Deng·Sheng Long·Jiliang Jing
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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 \cite{L2023} 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 $\psi^B_{4}$ 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.

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Weike Deng, Sheng Long, Jiliang Jing. 2024-05-26. Energy flux and waveform of gravitational wave generated by coalescing slow-spinning binary system in effective one-body theory. https://doi.org/10.1007/s11433-024-2415-y

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