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| Autori principali: | , , , |
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| Natura: | Preprint |
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2024
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| Accesso online: | https://arxiv.org/abs/2406.03929 |
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| _version_ | 1866929655373627392 |
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| author | Jia, Hai-Long Guo, Wen-Di Tan, Qin Liu, Yu-Xiao |
| author_facet | Jia, Hai-Long Guo, Wen-Di Tan, Qin Liu, Yu-Xiao |
| contents | In this work, we investigate the quasinormal modes of the Poincaré thick brane with a finite extra dimension. Unlike the case with an infinite extra dimension, the gravitational effective potential exhibits three distinct shapes within different ranges of the parameter $n$ in the warp factor: harmonic oscillator potential, Pöschl-Teller potential, and volcano-like potential. We then study various types of perturbations in this system. Utilizing a combination of analytical, semi-analytical, and numerical methods, we obtain the quasinormal modes of the perturbed fields. Our findings reveal a set of discrete quasinormal modes for the thick brane, similar to those of black holes. Interestingly, when $n=1$, the quasinormal modes exhibit purely imaginary behavior. This study may provide a new way to detect the existence of extra dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_03929 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quasinormal ringing of thick braneworlds with a finite extra dimension Jia, Hai-Long Guo, Wen-Di Tan, Qin Liu, Yu-Xiao General Relativity and Quantum Cosmology In this work, we investigate the quasinormal modes of the Poincaré thick brane with a finite extra dimension. Unlike the case with an infinite extra dimension, the gravitational effective potential exhibits three distinct shapes within different ranges of the parameter $n$ in the warp factor: harmonic oscillator potential, Pöschl-Teller potential, and volcano-like potential. We then study various types of perturbations in this system. Utilizing a combination of analytical, semi-analytical, and numerical methods, we obtain the quasinormal modes of the perturbed fields. Our findings reveal a set of discrete quasinormal modes for the thick brane, similar to those of black holes. Interestingly, when $n=1$, the quasinormal modes exhibit purely imaginary behavior. This study may provide a new way to detect the existence of extra dimensions. |
| title | Quasinormal ringing of thick braneworlds with a finite extra dimension |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2406.03929 |