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In this paper we consider the stability of some inflating brane-world models in quantum cosmology. It is shown that, whereas the singular model based on the construction of inflating branes from Euclidean five-dimensional anti-de Sitter space is unstable to tensorial cosmological perturbations in the bulk, the nonsingular model which uses a five-dimensional asymptotically anti-de Sitter wormhole to construct the inflating branes is stable to these perturbations. © 2003 The American Physical Society.The author thanks Mariam Bouhmadi and Carmen L. Sigu¨enza for useful discussions. This work was supported by DGICYT under Research Project BMF2002-03758.Peer Reviewe

Tensorial perturbations in the bulk of inflating brane worlds