De Sitter Space and Spatial Topology
Ingemar Bengtsson, Soeren Holst (Fysikum, Stockholms Universitet)

TL;DR
This paper simplifies and generalizes previous results on initial data evolving into de Sitter spacetimes, providing explicit examples and analyzing the global evolution of wormhole initial data.
Contribution
It simplifies and extends prior work on initial data leading to de Sitter spacetimes, and analyzes the global evolution of wormhole initial data.
Findings
Explicit examples of locally de Sitter domains of development
Global time evolution of wormhole initial data solved
Universal covers not embeddable in de Sitter space
Abstract
Morrow-Jones and Witt have shown that generic spatial topologies admit initial data that evolve to locally de Sitter spacetimes under Einstein's equations. We simplify their arguments, make them a little more general, and solve for the global time evolution of the wormhole initial data considered by them. Finally we give explicit examples of locally de Sitter domains of development whose universal covers cannot be embedded in de Sitter space.
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