Cosmological Spacetimes with $\Lambda > 0$

TL;DR

This paper explores the global geometric and topological properties of de Sitter-like cosmological spacetimes with positive cosmological constant, linking conformal infinity to singularity formation and extending known model properties.

Contribution

It extends understanding of the relationship between conformal infinity and singularities in de Sitter spacetimes, broadening the scope of previous cosmological model analyses.

Findings

Conformal infinity's geometry influences singularity development.

Topological properties relate to spacetime global structure.

Extended properties of well-known cosmological models.

Abstract

We discuss some global properties of cosmological spacetimes of de Sitter type, based on results with Lars Andersson obtained in hep-th/0202161. We relate the geometry and topology of conformal infinity to the occurrence of singularities in such spacetimes, thereby extending to a much broader context certain properties of some well-known cosmological models.