Hamiltonian reduction of Bianchi Cosmologies

Details Hamiltonian reduction of Bianchi Cosmologies Hamiltonian reduction of Bianchi Cosmologies

1994-08-04

arxiv.org/abs/gr-qc/9408008v1

Class.Quant.Grav.12:1099-1110,1995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, Latex, Freiburg preprint THEP 94/21

Scientific paper

10.1088/0264-9381/12/4/017

It was noted recently that the ADM-diffeomorphism-constraint does not generate all observed symmetries for several Bianchi-models. We will suggest not to use the ADM-constraint restricted to homogeneous variables, but some equivalent which is derived from a restricted action principle. This will generate all homogeneity preserving diffeomorphisms, which will be shown to be automorphism generating vector fields, in class A and class B models. Following Dirac's constraint formalism one will naturally be restricted to the unimodular part of the automorphism group.

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