Constraints on Brane-Localized Gravity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1103/PhysRevD.63.024018

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.

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