https://doi.org/10.1140/epjc/s10052-025-14950-z
Regular Article - Theoretical Physics
Proper-time approach in asymptotic safety via black hole quasinormal modes and grey-body factors
1
Department of Physics, Faculty of Science, University of Hradec Kralove, Rokitanskeho 62/26, 500 03, Hradec Kralove, Czech Republic
2
Department of Physics, Faculty of Science, Istanbul University, Vezneciler, 34134, Istanbul, Turkey
3
Institute of Fundamental and Applied Research, National Research University TIIAME, Kori Niyoziy 39, 100000, Tashkent, Uzbekistan
4
University of Tashkent for Applied Sciences, Str. Gavhar 1, 100149, Tashkent, Uzbekistan
5
Tashkent State Technical University, 100095, Tashkent, Uzbekistan
6
Urgench State University, Kh. Alimjan Str. 14, 221100, Urgench, Uzbekistan
7
Kimyo International University in Tashkent, Shota Rustaveli Street 156, 100121, Tashkent, Uzbekistan
8
Mamun University, Bolkhovuz Street 2, 220900, Khiva, Uzbekistan
a
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Received:
25
September
2025
Accepted:
12
October
2025
Published online:
22
October
2025
Abstract
We study the quasinormal mode spectrum and grey-body factors of black holes in an effectively quantum-corrected spacetime, focusing on the influence of near-horizon modifications on observable quantities. Employing scalar, electromagnetic, and Dirac test fields, we analyze the perturbation equations and extract the fundamental quasinormal frequencies using both the 6th-order WKB method with Padé resummation and time-domain integration. Our results show that quantum corrections near the horizon significantly affect the real and imaginary parts of the quasinormal modes, particularly for low multipole numbers and in the near-extremal regime. We also verify the robustness of the correspondence between quasinormal modes and grey-body factors by comparing WKB results with those reconstructed from the dominant quasinormal modes. Across all field types and parameter ranges considered, the WKB method proves accurate within a few percent, confirming its reliability in probing the impact of near-horizon physics. These findings support the use of quasinormal ringing and Hawking radiation spectra as sensitive tools for testing quantum modifications of black hole spacetimes.
© The Author(s) 2025
corrected publication 2025
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