Interpolating geometries and the stretched dS2 horizon

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.

Automated summary

This study investigates dilaton-gravity models that contain a significant portion of the static patch of dS(2) and examines their thermodynamic properties. The findings show that these geometries can exhibit local or even global thermodynamic stability within certain temperature ranges.