We develop the perturbation theory for R^2 string-corrected black hole
solutions in d dimensions. After having obtained the master equation and the
alpha'-corrected potential under tensorial perturbations of the metric, we
study the stability of the Callan, Myers and Perry solution under these
perturbations.Comment: Presented at 28th Spanish Relativity Meeting (ERE05): A Century of
Relativity Physics, Oviedo, Asturias, Spain, 6-10 Sep 200