Einstein-Chern-Simons equations on the 3-brane world.

This article constructs the Shiromizu-Maeda-Sasaki 3-brane in the context of five-dimensional Einstein-Chern-Simons gravity. We started by considering Israel's junction condition for Lovelock's theory to read the junctions conditions 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.