Dynamics of compact homogeneous universes

Masayuki Tanimoto, Tatsuhiko Koike, Akio Hosoya

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

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
Volume38
Issue number1
Publication statusPublished - 1997 Jan

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universe
Space-time
Discrete Subgroup
Universal Cover
Isometry Group
Locally Compact
subgroups
Isometry
Counting
counting
degrees of freedom
Degree of freedom

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics

Cite this

Dynamics of compact homogeneous universes. / Tanimoto, Masayuki; Koike, Tatsuhiko; Hosoya, Akio.

In: Journal of Mathematical Physics, Vol. 38, No. 1, 01.1997, p. 350-368.

Research output: Contribution to journalArticle

Tanimoto, M, Koike, T & Hosoya, A 1997, 'Dynamics of compact homogeneous universes', Journal of Mathematical Physics, vol. 38, no. 1, pp. 350-368.
Tanimoto, Masayuki ; Koike, Tatsuhiko ; Hosoya, Akio. / Dynamics of compact homogeneous universes. In: Journal of Mathematical Physics. 1997 ; Vol. 38, No. 1. pp. 350-368.
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