2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/177343Anisotropic cosmological models such as the Gödel universe and its extensions - Gödel type solutions, are embedded on a visible 3-brane in the Randall-Sundrum 1 model. The size of the extra dimension is stabilized by tuning the rotation parameter to a very small value so that hierarchy problem can be solved. A limiting case also yields the Randall-Sundrum 2 model. The rotation parameter on the visible brane turns out to be of order $10^{-32}$, which implies that visible brane essentially lacks rotation.10 pages, typos corrected and references addedGeneral Relativity and Quantum Cosmologytext