Topology and Singularities in Cosmological Spacetimes Obeying the Null Energy Condition

Research output: Contribution to journalArticle

6 Scopus citations

Abstract

We consider globally hyperbolic spacetimes with compact Cauchy surfaces in a setting compatible with the presence of a positive cosmological constant. More specifically, for 3 + 1 dimensional spacetimes which satisfy the null energy condition and contain a future expanding compact Cauchy surface, we establish a precise connection between the topology of the Cauchy surfaces and the occurrence of past singularities. In addition to the Penrose singularity theorem, the proof makes use of some recent advances in the topology of 3-manifolds and of certain fundamental existence results for minimal surfaces.

Original languageEnglish (US)
Pages (from-to)611-617
Number of pages7
JournalCommunications in Mathematical Physics
Volume360
Issue number2
DOIs
StatePublished - Jun 1 2018

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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