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    Quantum gravity corrections to the scalar quasinormal modes in near-extremal Reissner-Nordström black holes

    Zheng Jiang1,2,*, Jun Nian1,3,†, Caiying Shao2,‡, Yu Tian1,2,§, and Hongbao Zhang4,5,∥

    • *Contact author: jiangzheng22@mails.ucas.ac.cn
    • †Contact author: nianjun@ucas.ac.cn
    • ‡Contact author: shaocaiying@ucas.ac.cn
    • §Contact author: ytian@ucas.ac.cn
    • ∥Contact author: hongbaozhang@bnu.edu.cn

    Phys. Rev. D 112, 126019 – Published 19 December, 2025

    DOI: https://doi.org/10.1103/s27b-58gw

    Abstract

    We investigate quantum corrections to scalar quasinormal modes (QNMs) in the near-extremal Reissner-Nordström black hole background with quantum correction in the near-horizon AdS2×S2 region. By performing a dimensional reduction, we obtain an effective Jackiw–Teitelboim (JT) gravity theory, whose quantum fluctuations are captured by the Schwarzian action. Using path integral techniques, we derive the quantum-corrected scalar field equation, which modifies the effective potential governing the QNMs. These corrections are extended from the near-horizon region to the full spacetime via a matching procedure. We compute the corrected QNMs using both the third-order Wentzel-Kramers-Brillouin method and the Prony method and find consistent results. Our analysis reveals that quantum corrections can lead to substantial shifts in the real parts of QNM frequencies, particularly for small-mass or near-extremal black holes, while the imaginary parts remain relatively stable. This suggests that quantum gravity effects may leave observable imprints on black hole perturbation spectra, which could be potentially relevant for primordial or microscopic black holes.

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