Anti-de Sitter no-hair, AdS/CFT and the brane-world

Details Anti-de Sitter no-hair, AdS/CFT and the brane-world Anti-de Sitter no-hair, AdS/CFT and the brane-world

2001-02-07

arxiv.org/abs/hep-th/0102035v3

Phys.Rev. D64 (2001) 044015

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, minor changes, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.64.044015

We study the asymptotic behavior of the bulk spacetimes with the negative cosmological constant in the context of the brane-world scenario. We show that, in Euclidean bulk, or in Lorentzian static bulk, some sequences of hypersurfaces with the positive Ricci scalar evolve to the warped geometries like the anti-de Sitter spacetime. Based on the AdS/CFT correspondence, we discuss that the positivity of the Ricci scalar is related to the stability of CFT on the brane. In addition, the brane-world is described from the holographic point of view. The asymptotic local structure of the conformal infinity is also investigated.

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