Loop quantum gravity on noncompact spaces
Sep, 1999Citations per year
Abstract: (Elsevier)
We present a general procedure for constructing new Hilbert spaces for loop quantum gravity on non-compact spatial manifolds. Given any fixed background state representing a non-compact spatial geometry, we use the Gel'fand–Naimark–Segal construction to obtain a representation of the algebra of observables. The resulting Hilbert space can be interpreted as describing fluctuations of compact support around this background state. We also give an example of a state which approximates classical flat space and can be used as a background state for our construction.- 04.60.Ds
- 04.60.-m
- quantum gravity
- phase space: Hilbert space
- operator: algebra
- geometry
- fluctuation
- numerical calculations
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