On the structure of asymptotically de Sitter and anti-de Sitter spaces

2004/07/12 by Michael T. Anderson, Anderson, Michael T. · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geometric Analysis and Curvature Flows #High Energy Physics - Theory (hep-th) #gr-qc #hep-th #math.DG

paper · pdf · doi:10.48550/arxiv.hep-th/0407087

22pp, minor changes, references added

openalex publication_date 2004/07/12 · arxiv created 2005/06/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss several aspects of the relation between asymptotically AdS and asymptotically dS spacetimes including: the continuation between these types of spaces, the global stability of asymptotically dS spaces and the structure of limits within this class, holographic renormalization, and the maximal mass conjecture of Balasubramanian-deBoer-Minic.

Citations

• The Ambient Obstruction Tensor and Q-Curvature
• Non-trivial, static, geodesically complete space-times with a negative cosmological constant II. n≥ 5
• The dS/CFT correspondence
• Entropic N-bound and maximal mass conjecture violations in four-dimensional Taub-Bolt(NUT)-dS spacetimes

Cited by

• Future stability of solutions of the Einstein-nonlinear scalar field system with decelerated expansion
• Classification of Λ≠ 0-vacuum algebraically special spacetimes with conformally flat \mathscr I from Weyl tensor expansion

Related

• DE SITTER MUSINGS
• Maximal hypersurfaces in asymptotically Anti-de Sitter spacetime
• Global properties of asymptotically de Sitter and Anti de Sitter spacetimes
• Bulk-boundary correspondences and unique continuation in asymptotically Anti-de Sitter spacetimes
• Consistency between Bulk and Boundary Causalities in Asymptotically Anti-de Sitter Spacetimes