Revisiting the quasinormal modes of the Schwarzschild black hole: Numerical analysis
Abstract We revisit the problem of calculating the quasinormal modes of spin 0, 1/2, 1, 3/2, 2, and spin 5/2 fields in the asymptotically flat Schwarzschild black hole spacetime. Our aim is to investigate the problem from the numerical point of view, by comparing some numerical methods available in...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-10-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-022-10865-1 |
| _version_ | 1817984064346390528 |
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| author | Luis A. H. Mamani Angel D. D. Masa Lucas Timotheo Sanches Vilson T. Zanchin |
| author_facet | Luis A. H. Mamani Angel D. D. Masa Lucas Timotheo Sanches Vilson T. Zanchin |
| author_sort | Luis A. H. Mamani |
| collection | DOAJ |
| description | Abstract We revisit the problem of calculating the quasinormal modes of spin 0, 1/2, 1, 3/2, 2, and spin 5/2 fields in the asymptotically flat Schwarzschild black hole spacetime. Our aim is to investigate the problem from the numerical point of view, by comparing some numerical methods available in the literature and still not applied for solving the eigenvalue problems arising from the perturbation equations in the Schwarzschild black hole spacetime. We focus on the pseudo-spectral and the asymptotic iteration methods. These numerical methods are tested against the available results in the literature, and confronting the precision between each other. Besides testing the different numerical methods, we calculate higher overtones quasinormal frequencies for all the investigated perturbation fields in comparison with the known results. Additionally, we obtain purely imaginary frequencies for spin 1/2 and 3/2 fields that are in agreement with analytic results reported previously in the literature. The purely imaginary frequencies for the spin 1/2 perturbation field are exactly the same as the frequencies obtained for the spin 3/2 perturbation field. In turn, the quasinormal frequencies for the spin 5/2 perturbation field are calculated for the very first time, and purely imaginary frequencies are found also in this case. We conclude that both methods provide accurate results and they complement each other. |
| first_indexed | 2024-04-13T23:40:48Z |
| format | Article |
| id | doaj.art-679cfa7b461b413b9c0f404be60169a8 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-13T23:40:48Z |
| publishDate | 2022-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-679cfa7b461b413b9c0f404be60169a82022-12-22T02:24:32ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522022-10-01821011610.1140/epjc/s10052-022-10865-1Revisiting the quasinormal modes of the Schwarzschild black hole: Numerical analysisLuis A. H. Mamani0Angel D. D. Masa1Lucas Timotheo Sanches2Vilson T. Zanchin3Centro de Ciências Exatas e Tecnológicas, Universidade Federal do Recôncavo da BahiaCentro de Ciências Naturais e Humanas, Universidade Federal do ABCCentro de Ciências Naturais e Humanas, Universidade Federal do ABCCentro de Ciências Naturais e Humanas, Universidade Federal do ABCAbstract We revisit the problem of calculating the quasinormal modes of spin 0, 1/2, 1, 3/2, 2, and spin 5/2 fields in the asymptotically flat Schwarzschild black hole spacetime. Our aim is to investigate the problem from the numerical point of view, by comparing some numerical methods available in the literature and still not applied for solving the eigenvalue problems arising from the perturbation equations in the Schwarzschild black hole spacetime. We focus on the pseudo-spectral and the asymptotic iteration methods. These numerical methods are tested against the available results in the literature, and confronting the precision between each other. Besides testing the different numerical methods, we calculate higher overtones quasinormal frequencies for all the investigated perturbation fields in comparison with the known results. Additionally, we obtain purely imaginary frequencies for spin 1/2 and 3/2 fields that are in agreement with analytic results reported previously in the literature. The purely imaginary frequencies for the spin 1/2 perturbation field are exactly the same as the frequencies obtained for the spin 3/2 perturbation field. In turn, the quasinormal frequencies for the spin 5/2 perturbation field are calculated for the very first time, and purely imaginary frequencies are found also in this case. We conclude that both methods provide accurate results and they complement each other.https://doi.org/10.1140/epjc/s10052-022-10865-1 |
| spellingShingle | Luis A. H. Mamani Angel D. D. Masa Lucas Timotheo Sanches Vilson T. Zanchin Revisiting the quasinormal modes of the Schwarzschild black hole: Numerical analysis European Physical Journal C: Particles and Fields |
| title | Revisiting the quasinormal modes of the Schwarzschild black hole: Numerical analysis |
| title_full | Revisiting the quasinormal modes of the Schwarzschild black hole: Numerical analysis |
| title_fullStr | Revisiting the quasinormal modes of the Schwarzschild black hole: Numerical analysis |
| title_full_unstemmed | Revisiting the quasinormal modes of the Schwarzschild black hole: Numerical analysis |
| title_short | Revisiting the quasinormal modes of the Schwarzschild black hole: Numerical analysis |
| title_sort | revisiting the quasinormal modes of the schwarzschild black hole numerical analysis |
| url | https://doi.org/10.1140/epjc/s10052-022-10865-1 |
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