Eigenvalue repulsions and quasinormal mode spectra of Kerr-Newman: an extended study
Abstract The frequency spectra of the gravito-electromagnetic perturbations of the Kerr-Newman (KN) black hole with the slowest decay rate have been computed recently. It has been found that KN has two families — the photon sphere and the near-horizon families — of quasinormal modes (QNMs), which di...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP07(2022)076 |
| _version_ | 1818510695876001792 |
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| author | Óscar J. C. Dias Mahdi Godazgar Jorge E. Santos |
| author_facet | Óscar J. C. Dias Mahdi Godazgar Jorge E. Santos |
| author_sort | Óscar J. C. Dias |
| collection | DOAJ |
| description | Abstract The frequency spectra of the gravito-electromagnetic perturbations of the Kerr-Newman (KN) black hole with the slowest decay rate have been computed recently. It has been found that KN has two families — the photon sphere and the near-horizon families — of quasinormal modes (QNMs), which display the interesting phenomenon of eigenvalue repulsion. The perturbation equations, in spite of being a coupled system of two PDEs, are amenable to an analytic solution using the method of separation of variables in a near-horizon expansion around the extremal KN black hole. This leads to an analytical formula for the QNM frequencies that provides an excellent approximation to the numerical data near-extremality. In the present manuscript we provide an extended study of these properties that were not detailed in the original studies. This includes: 1) a full derivation of a gauge invariant system of two coupled PDEs that describes the perturbation equations [1], 2) a derivation of the eikonal frequency approximation [2, 3] and its comparison with the numerical QNM data, 3) a derivation of the near-horizon frequency approximation [3] and its comparison with the numerical QNMs, and 4) more details on the phenomenon of eigenvalue repulsion (also known as level repulsion, avoided crossing or Wigner-Teller effect) and a first principles understanding of it that was missing in the previous studies. Moreover, we provide the frequency spectra of other KN QNM families of interest to demonstrate that they are more damped than the ones we discuss in full detail. |
| first_indexed | 2024-12-10T23:23:31Z |
| format | Article |
| id | doaj.art-dcde24a215db4979be722240469fe182 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-10T23:23:31Z |
| publishDate | 2022-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-dcde24a215db4979be722240469fe1822022-12-22T01:29:39ZengSpringerOpenJournal of High Energy Physics1029-84792022-07-012022716510.1007/JHEP07(2022)076Eigenvalue repulsions and quasinormal mode spectra of Kerr-Newman: an extended studyÓscar J. C. Dias0Mahdi Godazgar1Jorge E. Santos2STAG research centre and Mathematical Sciences, University of SouthamptonSchool of Mathematical Sciences, Queen Mary University of LondonDAMTP, University of CambridgeAbstract The frequency spectra of the gravito-electromagnetic perturbations of the Kerr-Newman (KN) black hole with the slowest decay rate have been computed recently. It has been found that KN has two families — the photon sphere and the near-horizon families — of quasinormal modes (QNMs), which display the interesting phenomenon of eigenvalue repulsion. The perturbation equations, in spite of being a coupled system of two PDEs, are amenable to an analytic solution using the method of separation of variables in a near-horizon expansion around the extremal KN black hole. This leads to an analytical formula for the QNM frequencies that provides an excellent approximation to the numerical data near-extremality. In the present manuscript we provide an extended study of these properties that were not detailed in the original studies. This includes: 1) a full derivation of a gauge invariant system of two coupled PDEs that describes the perturbation equations [1], 2) a derivation of the eikonal frequency approximation [2, 3] and its comparison with the numerical QNM data, 3) a derivation of the near-horizon frequency approximation [3] and its comparison with the numerical QNMs, and 4) more details on the phenomenon of eigenvalue repulsion (also known as level repulsion, avoided crossing or Wigner-Teller effect) and a first principles understanding of it that was missing in the previous studies. Moreover, we provide the frequency spectra of other KN QNM families of interest to demonstrate that they are more damped than the ones we discuss in full detail.https://doi.org/10.1007/JHEP07(2022)076Black HolesClassical Theories of Gravity |
| spellingShingle | Óscar J. C. Dias Mahdi Godazgar Jorge E. Santos Eigenvalue repulsions and quasinormal mode spectra of Kerr-Newman: an extended study Journal of High Energy Physics Black Holes Classical Theories of Gravity |
| title | Eigenvalue repulsions and quasinormal mode spectra of Kerr-Newman: an extended study |
| title_full | Eigenvalue repulsions and quasinormal mode spectra of Kerr-Newman: an extended study |
| title_fullStr | Eigenvalue repulsions and quasinormal mode spectra of Kerr-Newman: an extended study |
| title_full_unstemmed | Eigenvalue repulsions and quasinormal mode spectra of Kerr-Newman: an extended study |
| title_short | Eigenvalue repulsions and quasinormal mode spectra of Kerr-Newman: an extended study |
| title_sort | eigenvalue repulsions and quasinormal mode spectra of kerr newman an extended study |
| topic | Black Holes Classical Theories of Gravity |
| url | https://doi.org/10.1007/JHEP07(2022)076 |
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