Constraints on Brane-Localized Gravity

Abstract

In this paper we explore some general aspects of the embeddings associated with brane-localized gravity. In particular we show that the consistency of such embeddings can require (or impose) very specific relations between all the involved bulk and brane matter source parameters. We specifically explore the embeddings of 3-branes with non-zero spatial 3-curvature $k$ into 5-dimensional spacetime bulks, and show that for such embeddings, a 5-dimensional bulk cosmological constant is not able to produce the exponential suppression of the geometry thought necessary to localize gravity to the brane.

RevTeX, 15 pages (updated version v2, conclusions unchanged)

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Cited by in corpus (5)

• On the embedding of branes in five-dimensional spaces
• Quasi-uniform gravitational field of a disk revisited
• Delta function singularities in the Weyl tensor at the brane
• Constraints on $Ad{S}_5$ Embeddings
• FLRW embeddings in ${\mathbb{R}}^{n+2}$, differential geometry and conformal photon propagator