Higher-derivative corrections to the Kerr quasinormal mode spectrum
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917776270032896 |
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| author | Cano, Pablo A. Capuano, Lodovico Franchini, Nicola Maenaut, Simon Völkel, Sebastian H. |
| author_facet | Cano, Pablo A. Capuano, Lodovico Franchini, Nicola Maenaut, Simon Völkel, Sebastian H. |
| contents | We provide the most complete analysis so far of quasinormal modes of rotating black holes in a general higher-derivative extension of Einstein's theory. By finding the corrections to the Teukolsky equation and expressing them in a simple form, we are able to apply a generalized continued fraction method that allows us to find the quasinormal mode frequencies including overtones. We obtain the leading-order corrections to the Kerr quasinormal mode frequencies of all the $(l,m,n)$ modes with $l=2,3,4$, $-l\le m\le l$ and $n=0,1,2$, and express them as a function of the black hole spin $χ$ using polynomial fits. We estimate that our results remain accurate up to spins between $χ\sim 0.7$ and $χ\sim 0.95$, depending on the mode. We report that overtones are overall more sensitive to corrections, which is expected from recent literature on this topic. We also discuss the limit of validity of the linear corrections to the quasinormal mode frequencies by estimating the size of nonlinear effects in the higher-derivative couplings. All our results are publicly available in an online repository. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_04517 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Higher-derivative corrections to the Kerr quasinormal mode spectrum Cano, Pablo A. Capuano, Lodovico Franchini, Nicola Maenaut, Simon Völkel, Sebastian H. General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Theory We provide the most complete analysis so far of quasinormal modes of rotating black holes in a general higher-derivative extension of Einstein's theory. By finding the corrections to the Teukolsky equation and expressing them in a simple form, we are able to apply a generalized continued fraction method that allows us to find the quasinormal mode frequencies including overtones. We obtain the leading-order corrections to the Kerr quasinormal mode frequencies of all the $(l,m,n)$ modes with $l=2,3,4$, $-l\le m\le l$ and $n=0,1,2$, and express them as a function of the black hole spin $χ$ using polynomial fits. We estimate that our results remain accurate up to spins between $χ\sim 0.7$ and $χ\sim 0.95$, depending on the mode. We report that overtones are overall more sensitive to corrections, which is expected from recent literature on this topic. We also discuss the limit of validity of the linear corrections to the quasinormal mode frequencies by estimating the size of nonlinear effects in the higher-derivative couplings. All our results are publicly available in an online repository. |
| title | Higher-derivative corrections to the Kerr quasinormal mode spectrum |
| topic | General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Theory |
| url | https://arxiv.org/abs/2409.04517 |