Submanifolds in space-time with unphysical extra dimensions, cosmology   and warped brane world models
  The explicit coordinate transformations which show the equivalence between a four-dimensional spatially flat cosmology and an appropriate submanifold in the flat five-dimensional Minkowski space-time are presented. Analogous procedure is made for the case of five-dimensional warped brane world models. Several examples are presented. 
Mikhail N. Smolyakov