A covariant approach to braneworld holography

Abstract

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.

Version to appear in CQG. Major additions, including details of how to explictly calculate the holographic energy momentum tensor, and a lengthy dicussion of holography in Lovelock gravity. Comparisons with other work are also added, along with a number of references

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