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

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.

22pp, minor changes, references added

References in corpus (5)

• The Ambient Obstruction Tensor and Q-Curvature
• Entropic N-bound and Maximal Mass Conjecture Violations in Four Dimensional Taub-Bolt(NUT)-dS Spacetimes
• Mass, Action and Entropy of Taub-Bolt-dS Spacetimes
• Non-trivial, static, geodesically complete space-times with a negative cosmological constant II. $n\ge 5$
• Cheeger-Gromov Theory and Applications to General Relativity

Cited by in corpus (2)

• Classification of Kerr-de Sitter-like spacetimes with conformally flat $\mathcal{I}$ in all dimensions
• Singularities in and Stability of Ooguri-Vafa-Verlinde Cosmologies