Energy flux and waveform of gravitational wave generated by coalescing slow-spinning binary system in effective one-body theory
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 equ...
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| creator | Deng, Weike Long, Sheng Jing, Jiliang |
| description | 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. |
| doi_str_mv | 10.48550/arxiv.2405.16423 |
| format | Article |
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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. 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| subjects | Black holes Exact solutions Gravitation theory Gravitational waves Mathematical analysis Parameters Physics - General Relativity and Quantum Cosmology Tensors Waveforms |
| title | Energy flux and waveform of gravitational wave generated by coalescing slow-spinning binary system in effective one-body theory |
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