In this article it is studied the 3-brane world in the context of
five-dimensional Einstein-Chern-Simons gravity. We started by considering
Israel's junction condition for AdS-Chern-Simons gravity. Using the S-expansion
procedure, we mapped the AdS-Chern-Simons junction conditions to
Einstein-Chern-Simons gravity, allowing us to derive effective four-dimensional
Einstein-Chern-Simons field equations