Constraints on $AdS_5$ Embeddings

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Details

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

Scientific paper

10.1103/PhysRevD.64.065008

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.

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