2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/205370We make an extensive study of evolution of gravitational perturbations of D-dimensional black holes in Gauss-Bonnet theory. There is an instability at higher multi-poles $\ell$ and large Gauss-Bonnet coupling $α$ for $D= 5, 6$, which is stabilized at higher $D$. Although small negative gap of the effective potential for scalar type of gravitational perturbations, exists for higher $D$ and whatever $α$, it does not lead to any instability.8 pages, 6 figures, 3 tablesHigh Energy Physics - TheoryGeneral Relativity and Quantum Cosmologytext