Observers in an accelerated universe

TL;DR

This paper explores how observers in an accelerating universe can be modeled using a specific foliation of spacetime, considering bubble nucleation due to a cosmological constant, and identifies a foliation that encompasses most observers.

Contribution

It introduces a particular foliation by constant mean curvature hypersurfaces that effectively accounts for the majority of observers in an accelerating universe with bubble nucleation.

Findings

A specific foliation covers most observers in the spacetime.

The framework accommodates bubble nucleation in an accelerating universe.

The approach provides a new perspective on observer distribution in cosmology.

Abstract

If the current acceleration of our Universe is due to a cosmological constant, then a Coleman-De Luccia bubble will nucleate in our Universe. In this work, we consider that our observations could be likely in this framework, consisting in two infinite spaces, if a foliation by constant mean curvature hypersurfaces is taken to count the events in the spacetime. Thus, we obtain and study a particular foliation, which covers the existence of most observers in our part of spacetime.