  Exact holography for cosmological branes in an AdS-Schwarzschild bulk was
first introduced in hep-th/0204218. We extend this notion to include all
co-dimension one branes moving in non-trivial bulk spacetimes. We use a
covariant approach, and show that the bulk Weyl tensor projected on to the
brane can always be traded in for "holographic" energy-momentum on the brane.
More precisely, a brane moving in a non-maximally symmetric bulk has exactly
the same geometry as a brane moving in a maximally symmetric bulk, so long as
we include the holographic fields on the brane. This correspondence is exact in
that it works to all order in the brane energy-momentum tensor.

High Energy Physics - Theory