Hamiltonians for Compact Homogeneous Universes

Details Hamiltonians for Compact Homogeneous Universes Hamiltonians for Compact Homogeneous Universes

1997-12-16

arxiv.org/abs/gr-qc/9712069v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

3 pages, LaTeX, uses mprocl.sty. Talk given at the Eighth Marcel Grossmann Meeting on General Relativity, 22-27 June 1997, Jer

Scientific paper

We briefly show how we can obtain Hamiltonians for spatially compact locally homogeneous vacuum spacetimes. The dynamical variables are categorized into the curvature parameters and the Teichm\"{u}ller parameters. While the Teichm\"{u}ller parameters usually parameterise the covering group of the spatial sections, we utilise another suitable parameterization where the universal cover metric carries all the dynamical variables and with this we reduce the Hamiltonians. For our models, all dynamical variables possess their clear geometrical meaning, in contrast to the conventional open models.}

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