Dynamics of compact homogeneous universes

Masayuki Tanimoto, Tatsuhiko Koike, Akio Hosoya

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)


A complete description of dynamics of compact locally homogeneous universes is given, which, in particular, includes explicit calculations of Teichmüller deformations and careful counting of dynamical degrees of freedom. We regard each of the universes as a simply connected four-dimensional space-time with identifications by the action of a discrete subgroup of the isometry group. We then reduce the identifications defined by the space-time isometries to ones in a homogeneous section, and find a condition that such spatial identifications must satisfy. This is essential for explicit construction of compact homogeneous universes. Some examples are demonstrated for Bianchi II, VI0, VII0, and I universal covers.

Original languageEnglish
Pages (from-to)350-368
Number of pages19
JournalJournal of Mathematical Physics
Issue number1
Publication statusPublished - 1997 Jan

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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