Dynamics of compact homogeneous universes

Masayuki Tanimoto, Tatsuhiko Koike, Akio Hosoya

研究成果: Article査読

18 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)350-368
ページ数19
ジャーナルJournal of Mathematical Physics
38
1
DOI
出版ステータスPublished - 1997 1月

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 数理物理学

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