2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/34770We discuss the stability of (charged) static black holes in higher-dimensional spacetimes with and without cosmological constant by using gauge-invariant master equations of the Schroedinger equation type for black hole perturbations derived by the authors recently. In particular, we show that the stability of higher-dimensional Schwarzschild black holes can be proved with the help of a technique called S-deformation of the master equations. We also point out that higher-dimensional static black holes might be unstable only against scalar-type perturbations in the neutral case and in the charged case with spherically symmetric or flat horizons.14 pages. A talk given at the Seventh Hungarian Relativity Workshop, 10-15 Aug. 2003, Sarospatak, Hungary. To appear in the proceedingsGeneral Relativity and Quantum Cosmologytext