Constraints on $Ad{S}_5$ Embeddings

Abstract

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 $Ad{S}_5$ bulk does not yield exponential suppression of the geometry away from the brane. Implications of this result for brane-localized gravity are discussed.

RevTeX, 9 pages (updated version v2, conclusions unchanged after extension to the non-static case)

References in corpus (6)

• The Einstein Equations on the 3-Brane World
• Brane cosmological evolution in a bulk with cosmological constant
• Cosmology of Brane Models with Radion Stabilization
• Linearized Gravity in Brane Backgrounds
• Cosmology of Brane-Bulk Models in Five Dimensions
• Constraints on Brane-Localized Gravity

Cited by in corpus (1)

• Brane-world generalizations of the Einstein static universe