We evaluate a 5-dimensional Randall Sundrum type metric in the Lagrangian of the Einstein-Chern-Simons gravity, and then we derive an action and its corresponding field equations, for a 4-dimensional brane embedded in the 5-dimensional space-time of the theory, which in the limit l → 0 leads to the 4-dimensional general relativity with cosmological constant. An interpretation of the h a matter field present in the Einstein-Chern-Simons gravity action is given. As an application, we find some Friedmann-Lemaitre-Robertson-Walker cosmological solutions that exhibit accelerated behavior.

To describe a late stage in the evolution of the universe, we consider a low energy density dust-filled 4-dimensional brane, immersed in a 5-dimensional space-time. Assuming that cosmological dynamics is governed by the Einstein-Gauss-Bonnet gravity field equations, we find a solution that exhibits an accelerated exponential behavior, which corresponds to a De Sitter model of universe.