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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.21303 |
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| _version_ | 1866913923411738624 |
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| author | Xie, Libo Wu, Liang-Bi Guo, Zong-Kuan |
| author_facet | Xie, Libo Wu, Liang-Bi Guo, Zong-Kuan |
| contents | We investigate the stability of QNM spectra and greybody factors in the Schwarzschild black hole by approximating the Regge-Wheeler potential with a piecewise parabolic form and treating the deviation as a perturbation. We find that QNM spectra are sensitive to small perturbations, while greybody factors remain stable. This piecewise parabolic approximated potential gives rise to the long-lived modes whose imaginary parts remain close to zero and decrease slowly with overtone number increasing. The reflection coefficient shows distinct resonance feature in the high-frequency regime that are absent in the original R-W case. For the calculation of greybody factors, we employ an analytic method based on transfer matrix technique, and this approach can also be effectively used in other effective potential cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_21303 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spectrum instability and greybody factor stability for parabolic approximation of Regge-Wheeler potential Xie, Libo Wu, Liang-Bi Guo, Zong-Kuan General Relativity and Quantum Cosmology We investigate the stability of QNM spectra and greybody factors in the Schwarzschild black hole by approximating the Regge-Wheeler potential with a piecewise parabolic form and treating the deviation as a perturbation. We find that QNM spectra are sensitive to small perturbations, while greybody factors remain stable. This piecewise parabolic approximated potential gives rise to the long-lived modes whose imaginary parts remain close to zero and decrease slowly with overtone number increasing. The reflection coefficient shows distinct resonance feature in the high-frequency regime that are absent in the original R-W case. For the calculation of greybody factors, we employ an analytic method based on transfer matrix technique, and this approach can also be effectively used in other effective potential cases. |
| title | Spectrum instability and greybody factor stability for parabolic approximation of Regge-Wheeler potential |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2505.21303 |