Holography for de Sitter bubble geometries

Abstract

We generalize the de Sitter static patch holographic proposal and the bilayer holographic entanglement entropy prescription to de Sitter geometries containing a bubble of smaller positive or vanishing cosmological constant. When the causal patch of an observer at the center of the bubble overlaps with the ``parent'' de Sitter region, we propose that the full spacetime can be holographically encoded on two holographic screens. The leading geometrical entanglement entropy between the two screens, which can be constant or time-dependent in some cases, never exceeds the Gibbons-Hawking entropy associated with the ``parent'' de Sitter space. When the causal patch of the observer at the center of the bubble is causally disconnected from the ``parent'' de Sitter region, the holographic proposal no longer applies, and more than two holographic screens are required to encode the whole spacetime.