DILATONIC BLACK-HOLES IN HIGHER CURVATURE STRING GRAVITY - II - LINEAR-STABILITY

We demonstrate the linear stability of dilatonic black holes appearing in a string-inspired higher-derivative gravity theory with a Gauss-Bo nnet curvature-squared term. The proof is accomplished by mapping the system to a one-dimensional Schrodinger problem which admits no bound states. This result is important in that it constitutes a linearly sta ble example of a black hole that bypasses the ''no-hair conjecture.'' However, dilaton hair is secondary in the sense that it is not accompa nied by any new quantum number for the black hole solution.