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Instabilities of black holes in Einstein-scalar–Gauss–Bonnet theories Blázquez Salcedo, José Luis Kleihaus, Burkhard Kunz, Jutta © The Author(s) 2024 Black holes represent an ideal laboratory to test Einstein's theory of general relativity and alternative theories of gravity. Among the latter, Einstein-scalar-Gauss-Bonnet Theories have received much attention in recent years. Depending on the coupling function of the scalar field, the resulting black holes may then differ significantly from their counterparts in general relativity. Focusing on the lowest modes, linear mode stability of the black holes is addressed for several types of coupling functions. When in addition to the coupling to the Gauss-Bonnet term a cosmologically motivated further term with coupling to the curvature scalar is included, a new set of instabilities arises: quadrupole and hexadecupole instabilities of spherically symmetric scalarized black holes, that are stable under radial perturbations. 2026-04-14T18:06:47Z 2026-04-14T18:06:47Z 2024-08-31 journal article Blázquez-Salcedo, J.L., Kleihaus, B. & Kunz, J. Instabilities of black holes in Einstein-scalar–Gauss–Bonnet theories. Gen Relativ Gravit 56, 99 (2024). https://doi.org/10.1007/s10714-024-03278-w 0001-7701 10.1007/S10714-024-03278-W https://hdl.handle.net/20.500.14352/134766 1572-9532 https//doi.org/ 10.1007/S10714-024-03278-W https://link.springer.com/article/10.1007/s10714-024-03278-W eng Ku612/18-1 PTDC/FIS-AST/3041/2020 info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2021-125617NB-I00/ES/MODOS CUASINORMALES: DESDE ONDAS GRAVITACIONALES A AGUJEROS NEGROS Y ESTRELLAS DE NEUTRONES/ info:eu-repo/granr Agreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/CNS2023-144089 / MODOS CUASINORMALES DE AGUJEROS NEGROS, ESTRELLAS DE NEUTRONES Y OTROS OBJETOS COMPACTOS ROTANTES: SONDEANDO LA RELATIVIDAD GENERAL CON ONDAS GRAVITATORIAS http://creativecommons.org/licenses/by/4.0/ open access Attribution 4.0 International Springer