Quasinormal modes of Kerr black holes using a spectral decomposition of the metric perturbations
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866916159990792192 |
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| author | Blázquez-Salcedo, Jose Luis Khoo, Fech Scen Kunz, Jutta González-Romero, Luis Manuel |
| author_facet | Blázquez-Salcedo, Jose Luis Khoo, Fech Scen Kunz, Jutta González-Romero, Luis Manuel |
| contents | We report a new method to calculate the quasinormal modes of rotating black holes, using a spectral decomposition to solve the partial differential equations that result from introducing linear metric perturbations to a rotating background. Our approach allows us to calculate a large sector of the quasinormal mode spectrum. In particular, we study the accuracy of the method for the $(l=2)$-led and $(l=3)$-led modes for different values of the $M_z$ azimuthal number, considering the fundamental modes as well as the first two excitations. We show that our method reproduces the Kerr fundamental modes with an accuracy of $10^{-6}$ or better for $a/M<0.8$, while it stays below $0.1\%$ for $a/M<0.98$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_10754 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quasinormal modes of Kerr black holes using a spectral decomposition of the metric perturbations Blázquez-Salcedo, Jose Luis Khoo, Fech Scen Kunz, Jutta González-Romero, Luis Manuel General Relativity and Quantum Cosmology We report a new method to calculate the quasinormal modes of rotating black holes, using a spectral decomposition to solve the partial differential equations that result from introducing linear metric perturbations to a rotating background. Our approach allows us to calculate a large sector of the quasinormal mode spectrum. In particular, we study the accuracy of the method for the $(l=2)$-led and $(l=3)$-led modes for different values of the $M_z$ azimuthal number, considering the fundamental modes as well as the first two excitations. We show that our method reproduces the Kerr fundamental modes with an accuracy of $10^{-6}$ or better for $a/M<0.8$, while it stays below $0.1\%$ for $a/M<0.98$. |
| title | Quasinormal modes of Kerr black holes using a spectral decomposition of the metric perturbations |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2312.10754 |