2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/190638We study the evaporation of black holes in space-times with extra dimensions of size L. We first obtain a potential which describes the expected behaviors of very large and very small black holes and then show that a (first order) phase transition, possibly signaled by an outburst of energy, occurs in the system when the horizon shrinks below L from a larger value. This is related to both a change in the topology of the horizon and the restoring of the translational symmetry along the extra dimensions.LaTeX with elsart.sty, 10 pages, 1 EPS figure. Replaced with final version to appear in Phys. Lett. BHigh Energy Physics - TheoryGeneral Relativity and Quantum Cosmologytext