2001/02/28 by Tetsuya Shiromizu, Daisuke Ida · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #astro-ph #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.64.044015
published as Phys.Rev. D64 (2001) 044015 · 6 pages, minor changes, to appear in Phys. Rev. D
arxiv created 2001/05/07 · openalex publication_date 2001/07/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the asymptotic behavior of the bulk spacetimes with a negative cosmological constant in the context of the brane-world scenario. We show that, in a Euclidean bulk, or in a Lorentzian static bulk, some sequences of hypersurfaces with a positive Ricci scalar evolve to warped geometries such as 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.