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 language | English |
|---|---|
| Pages (from-to) | 350-368 |
| Number of pages | 19 |
| Journal | Journal of Mathematical Physics |
| Volume | 38 |
| Issue number | 1 |
| Publication status | Published - 1997 Jan |
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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 journal › Article
}
TY - JOUR
T1 - Dynamics of compact homogeneous universes
AU - Tanimoto, Masayuki
AU - Koike, Tatsuhiko
AU - Hosoya, Akio
PY - 1997/1
Y1 - 1997/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0031282780&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0031282780&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0031282780
VL - 38
SP - 350
EP - 368
JO - Journal of Mathematical Physics
JF - Journal of Mathematical Physics
SN - 0022-2488
IS - 1
ER -