On quasinormal frequencies of black hole perturbations with an external source
Abstract In the study of perturbations around black hole configurations, whether an external source can influence the perturbation behavior is an interesting topic to investigate. When the source acts as an initial pulse, it is intuitively acceptable that the existing quasinormal frequencies will re...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2020-10-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-020-08539-x |
| _version_ | 1818851884888227840 |
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| author | Wei-Liang Qian Kai Lin Jian-Pin Wu Bin Wang Rui-Hong Yue |
| author_facet | Wei-Liang Qian Kai Lin Jian-Pin Wu Bin Wang Rui-Hong Yue |
| author_sort | Wei-Liang Qian |
| collection | DOAJ |
| description | Abstract In the study of perturbations around black hole configurations, whether an external source can influence the perturbation behavior is an interesting topic to investigate. When the source acts as an initial pulse, it is intuitively acceptable that the existing quasinormal frequencies will remain unchanged. However, the confirmation of such an intuition is not trivial for the rotating black hole, since the eigenvalues in the radial and angular parts of the master equations are coupled. We show that for the rotating black holes, a moderate source term in the master equation in the Laplace s-domain does not modify the quasinormal modes. Furthermore, we generalize our discussions to the case where the external source serves as a driving force. Different from an initial pulse, an external source may further drive the system to experience new perturbation modes. To be specific, novel dissipative singularities might be brought into existence and enrich the pole structure. This is a physically relevant scenario, due to its possible implication in modified gravity. Our arguments are based on exploring the pole structure of the solution in the Laplace s-domain with the presence of the external source. The analytical analyses are verified numerically by solving the inhomogeneous differential equation and extracting the dominant complex frequencies by employing the Prony method. |
| first_indexed | 2024-12-19T07:12:07Z |
| format | Article |
| id | doaj.art-331fa7592b8a49f5bc005cfff0f98303 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-19T07:12:07Z |
| publishDate | 2020-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-331fa7592b8a49f5bc005cfff0f983032022-12-21T20:31:09ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522020-10-01801011210.1140/epjc/s10052-020-08539-xOn quasinormal frequencies of black hole perturbations with an external sourceWei-Liang Qian0Kai Lin1Jian-Pin Wu2Bin Wang3Rui-Hong Yue4Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou UniversityInstitute for theoretical physics and cosmology, Zhejiang University of TechnologyCenter for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou UniversityCenter for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou UniversityCenter for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou UniversityAbstract In the study of perturbations around black hole configurations, whether an external source can influence the perturbation behavior is an interesting topic to investigate. When the source acts as an initial pulse, it is intuitively acceptable that the existing quasinormal frequencies will remain unchanged. However, the confirmation of such an intuition is not trivial for the rotating black hole, since the eigenvalues in the radial and angular parts of the master equations are coupled. We show that for the rotating black holes, a moderate source term in the master equation in the Laplace s-domain does not modify the quasinormal modes. Furthermore, we generalize our discussions to the case where the external source serves as a driving force. Different from an initial pulse, an external source may further drive the system to experience new perturbation modes. To be specific, novel dissipative singularities might be brought into existence and enrich the pole structure. This is a physically relevant scenario, due to its possible implication in modified gravity. Our arguments are based on exploring the pole structure of the solution in the Laplace s-domain with the presence of the external source. The analytical analyses are verified numerically by solving the inhomogeneous differential equation and extracting the dominant complex frequencies by employing the Prony method.http://link.springer.com/article/10.1140/epjc/s10052-020-08539-x |
| spellingShingle | Wei-Liang Qian Kai Lin Jian-Pin Wu Bin Wang Rui-Hong Yue On quasinormal frequencies of black hole perturbations with an external source European Physical Journal C: Particles and Fields |
| title | On quasinormal frequencies of black hole perturbations with an external source |
| title_full | On quasinormal frequencies of black hole perturbations with an external source |
| title_fullStr | On quasinormal frequencies of black hole perturbations with an external source |
| title_full_unstemmed | On quasinormal frequencies of black hole perturbations with an external source |
| title_short | On quasinormal frequencies of black hole perturbations with an external source |
| title_sort | on quasinormal frequencies of black hole perturbations with an external source |
| url | http://link.springer.com/article/10.1140/epjc/s10052-020-08539-x |
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