Bulk effects in the cosmological dynamics of brane-world scenarios

In this paper we deal with the cosmological dynamics of Randall-Sundrum brane-world type scenarios in which the five-dimensional Weyl tensor has a nonvanishing projection onto the three-brane, where matter fields are confined. Using dynamical systems techniques, we study how the state space of Friedmann-Lema\^{}tre-Robertson-Walker and Bianchi type I cosmological models is affected by the bulk Weyl tensor, focusing on the differences that appear with respect to general relativity and also Randall-Sundrum cosmological scenarios without the Weyl tensor contribution.