Energy flux and waveform of gravitational wave generated by coalescing slow-spinning binary system in effective one-body theory
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866910596993122304 |
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| author | Deng, Weike Long, Sheng Jing, Jiliang |
| author_facet | Deng, Weike Long, Sheng Jing, Jiliang |
| contents | 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 $ψ^B_{4}$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_16423 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Energy flux and waveform of gravitational wave generated by coalescing slow-spinning binary system in effective one-body theory Deng, Weike Long, Sheng Jing, Jiliang General Relativity and Quantum Cosmology 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 $ψ^B_{4}$ 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. |
| title | Energy flux and waveform of gravitational wave generated by coalescing slow-spinning binary system in effective one-body theory |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2405.16423 |