2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56450Recently a realization of the four-dimensional gravity on a brane in five-dimensional spacetime has been discussed. Randall and Sundrum have shown that the equation for the longitudinal components of the metric fluctuations admit a normalizable zero mode solution, which has been interpreted as the localized gravity on the brane. We point out that the equation for the transverse components of the metric fluctuations has a solutions which is not localized on the brane. This indicates that probably the effective theory is unstable or, in other words, actually it is not four-dimensional but five-dimensional. Perhaps a modification of the proposal by using matter fields can lead to the trapping of gravity to the brane.6 pages, LaTeX, Missed term in eq.(15) is added, which does not change the resultHigh Energy Physics - Theorytext