Splitting theorems for spatially closed space-times

Research output: Contribution to journalArticle

31 Scopus citations

Abstract

A Lorentzian splitting theorem is obtained for spatially closed spacetimes. The proof employs and extends some recent results of Bartnik and Gerhardt concerning the existence and rigid uniqueness of compact maximal hypersurfaces in spatially closed space-times. A splitting theorem for spatially closed time-periodic space-times, which generalizes a result first considered by Avez, is derived as a corollary.

Original languageEnglish (US)
Pages (from-to)423-429
Number of pages7
JournalCommunications in Mathematical Physics
Volume96
Issue number4
DOIs
StatePublished - Dec 1 1984

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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