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arXiv · 2509.24633

Gravitational quasinormal modes of Dymnikova black holes

Bekir Can Lütfüoğlu·Erdinç Ulaş Saka·Abubakir Shermatov·Inomjon Ibragimov·Javlon Rayimbaev·Sokhibjan Muminov
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Abstract

We investigate gravitational quasinormal modes of the Dymnikova black hole, a regular spacetime in which the central singularity is replaced by a de Sitter core. This geometry, originally proposed as a phenomenological model, also arises naturally in the framework of Asymptotically Safe gravity, where quantum corrections lead to a scale-dependent modification of the Schwarzschild solution. Focusing on axial gravitational perturbations, we compute the dominant quasinormal frequencies using the WKB method with Pad\'e approximants and verify the results with time-domain integration. We find that the introduction of the quantum parameter $l_{\rm cr}$ leads to systematic deviations from the Schwarzschild spectrum: the real oscillation frequency decreases as $l_{\rm cr}$ increases, while the damping rate also becomes smaller, implying longer-lived modes. In the limit of large $l_{\rm cr}$, the quasinormal spectrum smoothly approaches the Schwarzschild case. These results suggest that even though the corrections are localized near the horizon, they leave imprints in the gravitational-wave ringdown which may become accessible to observation with future high-precision detectors.

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Bekir Can Lütfüoğlu, Erdinç Ulaş Saka, Abubakir Shermatov, Inomjon Ibragimov, Javlon Rayimbaev, Sokhibjan Muminov. 2025-09-29. Gravitational quasinormal modes of Dymnikova black holes. https://doi.org/10.1016/j.aop.2026.170360

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