Interpolating geometries and the stretched dS${}_2$ horizon

Abstract

We investigate dilaton-gravity models whose solutions contain a large portion of the static patch of dS${}_2$. The thermodynamic properties of these theories are considered both in the presence of a finite Dirichlet wall, as well as for asymptotically near-AdS${}_2$ boundaries. We show that under certain circumstances such geometries, including those endowed with an asymptotically near-AdS${}_2$ boundary, can be locally and even globally thermodynamically stable within particular temperature regimes. First order phase transitions reminiscent of the Hawking-Page transition are discussed. For judiciously chosen models, the near-AdS${}_2$ boundary can be viewed as a completion of the stretched cosmological dS${}_2$ horizon. We speculate on candidate microphysical models.

18 pages + appendices, 6 figures

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• Quantum Kerr-de Sitter black holes in three dimensions
• Near-Extremal Limits of de Sitter Black Holes
• Complex geodesics in de Sitter space
• A microscopic realization of dS${}_3$
• Entropy of causal diamond ensembles
• Vacuum Transitions in Two-Dimensions and their Holographic Interpretation
• The complex Liouville string: the gravitational path integral
• The landscape of complexity measures in 2D gravity
• JT Gravity in de Sitter Space and Its Extensions