Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1994-09-23
Class.Quant.Grav.12:1441-1454,1995
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
23 pages, ReVTeX, CGPG-94/6-3, UCSBTH-94-39
Scientific paper
10.1088/0264-9381/12/6/010
We consider a quantization of the Bianchi IX cosmological model based on taking the constraint to be a self-adjoint operator in an auxiliary Hilbert space. Using a WKB-style self-consistent approximation, the constraint chosen is shown to have only continuous spectrum at zero. Nevertheless, the auxiliary space induces an inner product on the zero-eigenvalue generalized eigenstates such that the resulting physical Hilbert space has countably infinite dimension. In addition, a complete set of gauge-invariant operators on the physical space is constructed by integrating differential forms over the spacetime. The behavior of these operators indicates that this quantization preserves Wald's classical result that the Bianchi IX spacetimes expand to a maximum volume and then recollapse.
No associations
LandOfFree
Observables and a Hilbert Space for Bianchi IX does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Observables and a Hilbert Space for Bianchi IX, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Observables and a Hilbert Space for Bianchi IX will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-501251