Could a foliation by constant mean curvature hypersurfaces cover the existence of most observers in our part of spacetime?

TL;DR

This paper constructs a foliation of de Sitter space with a bubble, showing it covers most observers outside the bubble, aiding understanding of spacetime structure in cosmological models.

Contribution

It introduces a new foliation by constant mean curvature hypersurfaces in a de Sitter space with a bubble, extending the understanding of observer coverage in such spacetimes.

Findings

Foliation covers most observers outside the bubble

Provides a new geometric framework for de Sitter space with bubbles

Enhances understanding of spacetime structure in cosmological models

Abstract

We present a foliation by constant mean curvature hypersurfaces of a de Sitter space with a thin-wall Coleman-De Luccia bubble of de Sitter space inside, which covers the existence of most observers in our part of spacetime if we are placed in the region outside the bubble.