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    Quasinormal modes of a quantum inspired black hole in four dimensions with a cosmological constant

    R. D. B. Fontana*

    Jeferson de Oliveira†

    B. Eslam Panah‡

    Ángel Rincón§

    • Department of Theoretical Physics, Faculty of Science, University of Mazandaran, P. O. Box 47416-95447, Babolsar, Iran and Center for Theoretical Physics, Khazar University, 41 Mehseti Str., Baku AZ1096, Azerbaijan

    • *Contact author: rodrigo.dalbosco@ufrgs.br
    • †Contact author: jeferson.oliveira@ufmt.br
    • ‡Contact author: eslampanah@umz.ac.ir
    • §Contact author: angel.rincon@physics.slu.cz

    Phys. Rev. D 114, 064001 – Published 1 September, 2026

    DOI: https://doi.org/10.1103/6wbp-wl7x

    Abstract

    We study the scalar and Dirac perturbations of quantum-corrected black holes with cosmological constant. Using two different methods (WKB and double-null characteristic integration) we compute the quasinormal modes (QNMs) of de Sitter and anti–de Sitter solutions considering linear field perturbations in the background geometry. In the limit of general relativity black holes, our methods demonstrate good convergence with the available results in literature. In the presence of an extra quantum parameter, we verify that all perturbations are stable evolving in towers of quasinormal oscillations. We scrutinize the spectra of both dS and AdS solutions studying the influence of that extra parameter in the frequencies.

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