Quasinormal modes and stability of accelerating Reissner-Norsdtröm AdS black holes
Abstract We investigate the numerical stability of accelerating AdS black holes against linear scalar perturbations. In particular, we study the evolution of a probe non-minimally coupled scalar field on Schwarzschild and Reissner-Nordström AdS black holes with small accelerations by computing the q...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-10-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP10(2022)047 |
| _version_ | 1797996145146855424 |
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| author | Rodrigo D.B. Fontana Filipe C. Mena |
| author_facet | Rodrigo D.B. Fontana Filipe C. Mena |
| author_sort | Rodrigo D.B. Fontana |
| collection | DOAJ |
| description | Abstract We investigate the numerical stability of accelerating AdS black holes against linear scalar perturbations. In particular, we study the evolution of a probe non-minimally coupled scalar field on Schwarzschild and Reissner-Nordström AdS black holes with small accelerations by computing the quasinormal modes of the perturbation spectrum. We decompose the scalar field Klein-Gordon equation and study the eigenvalue problem for its angular and radial-temporal parts using different numerical methods. The angular part is written in terms of the Heun solution and expanded through the Frobenius method which turns out to give eigenvalues qualitatively similar to the ones obtained through the spherical harmonics representation. The radial-temporal evolution renders a stable field profile which is decomposed in terms of damped and purely imaginary oscillations of the quasinormal modes. We calculate the respective frequencies for different spacetime parameters showing the existence of a fine-structure in the modes, for both real and imaginary parts, which is not present in the non-accelerating AdS black holes. Our results indicate that the Schwarzschild and Reissner-Nordström AdS black holes with small accelerations are stable against linear scalar perturbations. |
| first_indexed | 2024-04-11T10:11:44Z |
| format | Article |
| id | doaj.art-5b4a134c854c42bd8cb7106abd1b689c |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-11T10:11:44Z |
| publishDate | 2022-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-5b4a134c854c42bd8cb7106abd1b689c2022-12-22T04:30:04ZengSpringerOpenJournal of High Energy Physics1029-84792022-10-0120221012710.1007/JHEP10(2022)047Quasinormal modes and stability of accelerating Reissner-Norsdtröm AdS black holesRodrigo D.B. Fontana0Filipe C. Mena1Universidade Federal do Rio Grande do SulCentro de Análise Matemática, Geometria e Sistemas Dinâmicos, Instituto Superior Técnico, Universidade de LisboaAbstract We investigate the numerical stability of accelerating AdS black holes against linear scalar perturbations. In particular, we study the evolution of a probe non-minimally coupled scalar field on Schwarzschild and Reissner-Nordström AdS black holes with small accelerations by computing the quasinormal modes of the perturbation spectrum. We decompose the scalar field Klein-Gordon equation and study the eigenvalue problem for its angular and radial-temporal parts using different numerical methods. The angular part is written in terms of the Heun solution and expanded through the Frobenius method which turns out to give eigenvalues qualitatively similar to the ones obtained through the spherical harmonics representation. The radial-temporal evolution renders a stable field profile which is decomposed in terms of damped and purely imaginary oscillations of the quasinormal modes. We calculate the respective frequencies for different spacetime parameters showing the existence of a fine-structure in the modes, for both real and imaginary parts, which is not present in the non-accelerating AdS black holes. Our results indicate that the Schwarzschild and Reissner-Nordström AdS black holes with small accelerations are stable against linear scalar perturbations.https://doi.org/10.1007/JHEP10(2022)047Black HolesClassical Theories of Gravity |
| spellingShingle | Rodrigo D.B. Fontana Filipe C. Mena Quasinormal modes and stability of accelerating Reissner-Norsdtröm AdS black holes Journal of High Energy Physics Black Holes Classical Theories of Gravity |
| title | Quasinormal modes and stability of accelerating Reissner-Norsdtröm AdS black holes |
| title_full | Quasinormal modes and stability of accelerating Reissner-Norsdtröm AdS black holes |
| title_fullStr | Quasinormal modes and stability of accelerating Reissner-Norsdtröm AdS black holes |
| title_full_unstemmed | Quasinormal modes and stability of accelerating Reissner-Norsdtröm AdS black holes |
| title_short | Quasinormal modes and stability of accelerating Reissner-Norsdtröm AdS black holes |
| title_sort | quasinormal modes and stability of accelerating reissner norsdtrom ads black holes |
| topic | Black Holes Classical Theories of Gravity |
| url | https://doi.org/10.1007/JHEP10(2022)047 |
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