Compact homogeneous universes

Tatsuhiko Koike, Masayuki Tanimoto, Akio Hosoya

研究成果: Article査読

34 被引用数 (Scopus)

抄録

A thorough classification of the topologies of compact homogeneous universes is given except for the hyperbolic spaces, and their global degrees of freedom are completely worked out. To obtain compact universes, spatial points are identified by discrete subgroups of the isometry group of the generalized Thurston geometries, which are related to the Bianchi and the Kantowski-Sachs-Nariai universes. Corresponding to this procedure their total degrees of freedom are shown to be categorized into those of the universal covering space and the Teichmüller parameters. The former are given by constructing homogeneous metrics on a simply connected manifold. The Teichmüller spaces are also given by explicitly constructing expressions for the discrete subgroups of the isometry group.

本文言語English
ページ(範囲)4855-4888
ページ数34
ジャーナルJournal of Mathematical Physics
35
9
DOI
出版ステータスPublished - 1994
外部発表はい

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 数理物理学

フィンガープリント

「Compact homogeneous universes」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル