2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/179872A fundamental bound on the relaxation time τof a perturbed thermodynamical system has recently been derived, τ\geq \hbar/πT, where $T$ is the system's temperature. We demonstrate analytically that black holes saturate this bound in the extremal limit and for large values of the azimuthal number m of the perturbation field.2 Pages. Submitted to PRD on 5/12/2007General Relativity and Quantum CosmologyAstrophysicsHigh Energy Physics - Theorytext