2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/50576The stability conditions for coordinate gauge independent perturbations of brane-worlds are analyzed. It is shown that, these conditions lead to the Einstein-Hilbert dynamics and to a confined gauge potential, independently of models and metric ansatzes. The size of the extra dimensions are estimated without assuming a fixed topology. The quantum modes corresponding to high frequency gravitational waves are defined through a canonical structure.8 pages revtex, twocolumn, no figuresHigh Energy Physics - TheoryGeneral Relativity and Quantum Cosmologytext