Constraints on $AdS_5$ Embeddings

Philip D. Mannheim

Published 2000-09-08, updated 2001-03-06Version 2

We show that the embedding of either a static or a time dependent maximally 3-symmetric brane with non-zero spatial curvature $k$ into a non-compactified $AdS_5$ bulk does not yield exponential suppression of the geometry away from the brane. Implications of this result for brane-localized gravity are discussed.