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Five and six dimensional static, spherically symmetric, asymptoticallyEuclidean black holes, are unstable under gravitational perturbations if theirmass is lower than a critical value set by the string tension. The instabilityis due to the Gauss-Bonnet correction to Einstein's equations, and was found ina previous work on linear stability of Einstein-Gauss-Bonnet black holes withconstant curvature horizons in arbitrary dimensions. We study the unstablecases and calculate the values of the critical masses. The results are relevantto the issue of black hole production in high energy collisions.Comment: 9 pages, 2 figure

Gravitational instability of static spherically symmetric Einstein-Gauss-Bonnet black holes in five and six dimensions