Quasinormal modes and ringdown waveform of the Frolov black hole
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arXiv
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| Autores principales: | , , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917771159273472 |
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| author | Song, Zhijun Gong, Huajie Li, Hai-Li Fu, Guoyang Zhu, Li-Gang Wu, Jian-Pin |
| author_facet | Song, Zhijun Gong, Huajie Li, Hai-Li Fu, Guoyang Zhu, Li-Gang Wu, Jian-Pin |
| contents | In this paper we investigate scalar perturbation over a Frolov black hole (BH), which is a regular BH induced by the quantum gravity effect. The quasinormal frequencies of a scalar field always consistently reside in the lower half-plane, and the time-domain evolution of the field demonstrates a decaying behavior, with the late-time tail exhibiting a power-law pattern. These observations collectively suggest the stability of a Frolov BH against scalar perturbation. Additionally, our study reveals that the quantum gravity effect leads to slower decay modes. For the case of the angular quantum number $l=0$, the oscillation exhibits non-monotonic behavior with the quantum gravity parameter $α_0$. However, once $l\geq 1$, the angular quantum number surpasses the influence of the quantum gravity effect. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_04787 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quasinormal modes and ringdown waveform of the Frolov black hole Song, Zhijun Gong, Huajie Li, Hai-Li Fu, Guoyang Zhu, Li-Gang Wu, Jian-Pin General Relativity and Quantum Cosmology In this paper we investigate scalar perturbation over a Frolov black hole (BH), which is a regular BH induced by the quantum gravity effect. The quasinormal frequencies of a scalar field always consistently reside in the lower half-plane, and the time-domain evolution of the field demonstrates a decaying behavior, with the late-time tail exhibiting a power-law pattern. These observations collectively suggest the stability of a Frolov BH against scalar perturbation. Additionally, our study reveals that the quantum gravity effect leads to slower decay modes. For the case of the angular quantum number $l=0$, the oscillation exhibits non-monotonic behavior with the quantum gravity parameter $α_0$. However, once $l\geq 1$, the angular quantum number surpasses the influence of the quantum gravity effect. |
| title | Quasinormal modes and ringdown waveform of the Frolov black hole |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2406.04787 |