11- https://doi.org/10.1143/ptp.107.305
Phase Space of Compact Bianchi Models with Fluid
- Sep 19, 2001
- Progress of Theoretical Physics
- H Kodama
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 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.
- # Structure Of Phase Space
- # Space Topology
- # Incomplete Form
- # Phase Space
- # Structure Of Space
- # Space Of Models
- # Homogeneous Models
- # Homogeneous Universe Models
- # Thurston Types
- # Homogeneous Universe
