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Prog. Theor. Phys. Vol. 107 No. 2 (2002) pp. 305-362

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Phase Space of Compact Bianchi Models with Fluid

Hideo Kodama

Yukawa Institute for Theoretical Physics, Kyoto University,
Kyoto 606-8502, Japan

(Received September 27, 2001)

Abstract:

The structure of phase space is determined for spatially compact and locally homogeneous universe models with fluid. The analysis covers models with all possible space topologies, except for those covered by S3, H3 or S2×R, which have no moduli freedom. We show that the space topology significantly affects the number of dynamical degrees of freedom of the system. In particular, we give a detailed proof of the result that for systems modeled on the Thurston types H2×R and \widetildeSL2R, which locally possesses the Bianchi type III or VIII symmetry, the number of dynamical degrees of freedom increases without bound when the space topology becomes more and more complicated. This behavior was first pointed out by Koike, Tanimoto and Hosoya in an incomplete form.


URL : http://ptp.ipap.jp/link?PTP/107/305/
DOI : 10.1143/PTP.107.305

[ Full Text PDF (513K) ]  [ Buy This Article ]  Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 112 No. 2 (2004) pp. 249-274 :
    Perturbative Uniqueness of Black Holes near the Static Limit in All Dimensions
    Hideo Kodama
  2. Progress of Theoretical Physics Vol. 116 No. 2 (2006) pp. 295-318 :
    Time-Dependent Supersymmetric Solutions in M-Theory and the Compactification-Decompactification Transition
    Hideo Kodama and Nobuyoshi Ohta

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