Interpolating geometries and the stretched dS2 horizon

Abstract

Abstract We investigate dilaton-gravity models whose solutions contain a large portion of the static patch of dS2. The thermodynamic properties of these theories are considered both in the presence of a finite Dirichlet wall, as well as for asymptotically near-AdS2 boundaries. We show that under certain circumstances such geometries, including those endowed with an asymptotically near-AdS2 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-AdS2 boundary can be viewed as a completion of the stretched cosmological dS2 horizon. We speculate on candidate microphysical models.