Spherically symmetric canonical quantum gravity

Abstract

Canonical quantization of spherically symmetric space-times is carried out, using real-valued densitized triads and extrinsic curvature components, with specific factor ordering choices ensuring in an anomaly free quantum constraint algebra. Comparison with previous work [1] reveals that the resulting physical Hilbert space has the same form, although the basic canonical variables are different in the two approaches. As an extension, holonomy modifications from Loop Quantum Gravity are shown to deform the Dirac space-time algebra, while going beyond `effective' calculations.

21 pages; minor corrections and additional references

References in corpus (2)

• Spherically Symmetric Quantum Geometry: States and Basic Operators
• Uniqueness of the Fock quantization of scalar fields and processes with signature change in cosmology

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