We consider a five-dimensional action which is composed of a gravitational sector and a sector of matter, where the gravitational sector is given by a Chern-Simons gravity action instead of the Einstein-Hilbert action. In the event that the matter action is the action for a perfect fluid, it is shown that the standard five-dimensional Friedmann-Robertson-Walker (FRW) equations and some of their solutions can be obtained, in a certain limit, from the so-called Chern-Simons-FRW field equations, which are the cosmological field equations corresponding to a Chern-Simons gravity theory. It is also shown, using a compactification procedure known as dynamic compactification, that the cosmological field equations obtained from the Chern-Simons gravity theory lead, in a certain limit, to the usual four-dimensional FRW equations.

• Received 16 April 2011

DOI:https://doi.org/10.1103/PhysRevD.84.063506