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

Daisuke Ida (RESCEU; Tetsuya Shiromizu (RESCEU; U.Tokyo)

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

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arxiv hep-th/0102035 v3 submitted 2001-02-07 hep-th astro-phgr-qchep-ph

Tetsuya Shiromizu (RESCEU , U.Tokyo) , Daisuke Ida (RESCEU This is my paper · ORCID

classification hep-thastro-phgr-qchep-ph

keywords brane-worldbulkanti-deasymptoticricciscalarsitteraddition

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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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