2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/185554We consider the dynamical stability of a static brane model that incorporates a three-index antisymmetric tensor field and has recently been proposed as a possible solution to the cosmological constant problem. Ultimately, we are able to establish the existence of time-dependent, purely gravitational perturbations. As a consequence, the static solution of interest is ``dangerously'' located at an unstable saddle point. This outcome is suggestive of a hidden fine tuning in what is an otherwise self-tuning model.16 Pages, Latex; Discussion added but conclusions unchangedHigh Energy Physics - Theorytext