Arbitrarily long-lived quasinormal modes of proper-time flow black holes
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866914051246784512 |
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| author | Skvortsova, Milena |
| author_facet | Skvortsova, Milena |
| contents | We investigate the quasinormal modes (QNMs) of a massive scalar field in the background of a regular black hole arising from the proper-time flow in asymptotically safe gravity. This quantum-corrected geometry, characterized by a deformation parameter q, smoothly interpolates between a near-extremal regular black hole and the Schwarzschild solution. Employing both the WKB approximation with Padé resummation and time-domain integration, we compute the complex frequencies for various values of the scalar field mass $μ$, multipole number $\ell$, and deformation parameter q. We observe that the real parts of the QNMs increase with the field mass, while the imaginary parts exhibit behavior indicative of long-lived modes. Although quasi-resonances are not detected in the time-domain profiles due to the dominance of late-time tails, we find that the asymptotic decay follows an oscillatory slowly decaying behavior with the power-law envelope. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_18061 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Arbitrarily long-lived quasinormal modes of proper-time flow black holes Skvortsova, Milena General Relativity and Quantum Cosmology We investigate the quasinormal modes (QNMs) of a massive scalar field in the background of a regular black hole arising from the proper-time flow in asymptotically safe gravity. This quantum-corrected geometry, characterized by a deformation parameter q, smoothly interpolates between a near-extremal regular black hole and the Schwarzschild solution. Employing both the WKB approximation with Padé resummation and time-domain integration, we compute the complex frequencies for various values of the scalar field mass $μ$, multipole number $\ell$, and deformation parameter q. We observe that the real parts of the QNMs increase with the field mass, while the imaginary parts exhibit behavior indicative of long-lived modes. Although quasi-resonances are not detected in the time-domain profiles due to the dominance of late-time tails, we find that the asymptotic decay follows an oscillatory slowly decaying behavior with the power-law envelope. |
| title | Arbitrarily long-lived quasinormal modes of proper-time flow black holes |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2509.18061 |