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00925njm 22002777a 4500 dc Blázquez Salcedo, José Luis author Khoo, Fech Scen author Kleihaus, Burkhard author Kunz, Jutta author 2025-03-04 Quasinormal modes are excited during the ringdown phase of black holes after merger. Determination of quasinormal modes of rapidly rotating black holes in alternative theories of gravity has remained a challenge for a long time. Here we discuss in detail our recently developed method to extract the quasinormal modes for rapidly rotating black holes in Einstein-Gauss-Bonnet-dilaton theory. We first obtain numerically the exact rapidly rotating background solutions, which also clarify their domain of existence. Then we solve the equations for the linear perturbations of the metric and the dilaton field by employing an appropriate set of boundary conditions and a spectral decomposition of the perturbation functions. The resulting spectrum agrees well with the known limits obtained for slow rotation and weak coupling, while it exhibits larger deviations for stronger coupling. J.L. Blázquez-Salcedo, F.S. Khoo, B. Kleihaus, J. Kunz, Quasinormal mode spectrum of rotating black holes in Einstein-Gauss-Bonnet-dilaton theory, Phys. Rev. D 111 (2025) 064015. https://doi.org/10.1103/PhysRevD.111.064015 2470-0010 10.1103/PhysRevD.111.064015 https://hdl.handle.net/20.500.14352/134830 2470-0029 https: doi.org./10.1103/PhysRevD.111.064015 https://journals.aps.org/prd/abstract/10.1103/PhysRevD.111.064015 Quasinormal mode spectrum of rotating black holes in Einstein-Gauss-Bonnet-dilaton theory