Exact quasinormal modes in Grumiller spacetime
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912678999490560 |
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| author | Mi, Li-Qin Li, Zhong-Heng |
| author_facet | Mi, Li-Qin Li, Zhong-Heng |
| contents | The Grumiller metric is an effective model for gravity at large distances and plays a significant role in constructing galactic models and explaining dark matter. Here, in Grumiller spacetime, we analytically compute the quasinormal-mode frequencies and wave functions for massless particles with spin $\leq 2$ by introducing a new transformation relation. Our findings indicate that the quasinormal-mode frequencies are identical for different fermions with the same quantum number $n$. Notably, no bosonic quasinormal modes associated with Heun polynomials were found. Furthermore, for a given quasinormal-mode frequency, the corresponding particles exhibit a $2(n + 1)$-fold degeneracy. These results provide a theoretical basis for the mutual simulation of fermionic waves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_16991 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exact quasinormal modes in Grumiller spacetime Mi, Li-Qin Li, Zhong-Heng General Relativity and Quantum Cosmology High Energy Physics - Theory The Grumiller metric is an effective model for gravity at large distances and plays a significant role in constructing galactic models and explaining dark matter. Here, in Grumiller spacetime, we analytically compute the quasinormal-mode frequencies and wave functions for massless particles with spin $\leq 2$ by introducing a new transformation relation. Our findings indicate that the quasinormal-mode frequencies are identical for different fermions with the same quantum number $n$. Notably, no bosonic quasinormal modes associated with Heun polynomials were found. Furthermore, for a given quasinormal-mode frequency, the corresponding particles exhibit a $2(n + 1)$-fold degeneracy. These results provide a theoretical basis for the mutual simulation of fermionic waves. |
| title | Exact quasinormal modes in Grumiller spacetime |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2509.16991 |