Global structure of exact cosmological solutions in the brane world - art.no. 024028

We find the explicit coordinate transformation which links two exact cosmol ogical solutions of the brane world which have been recently discovered. Th is means that both solutions are exactly the same as each other. One of the two solutions is described by the motion of a domain wall in the well-know n five-dimensional Schwarzshild-AdS spacetime. Hence, we can easily underst and the region covered by the coordinate used by another solution.