RT Journal Article T1 Quasinormal mode spectrum of rotating black holes in Einstein-Gauss-Bonnet-dilaton theory A1 Blázquez Salcedo, José Luis A1 Khoo, Fech Scen A1 Kleihaus, Burkhard A1 Kunz, Jutta AB 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. PB American Physical Society SN 2470-0010 YR 2025 FD 2025-03-04 LK https://hdl.handle.net/20.500.14352/134830 UL https://hdl.handle.net/20.500.14352/134830 LA eng NO 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 NO 2024-T1/COM-31385INST 184/225-1 FUGG NO German Research Foundation NO Fundação para a Ciência e a Tecnologia (Portugal) NO Ministerio de Ciencia, Innovación y Universidades (España) NO Agencia Estatal de Investigación (España) NO European Commission NO Comunidad de Madrid NO Ministry of Science and Culture of Lower Saxony DS Docta Complutense RD 7 jun 2026