The Volume Operator in Spherically Symmetric Quantum Geometry

Details The Volume Operator in Spherically Symmetric Quantum Geometry The Volume Operator in Spherically Symmetric Quantum Geometry

2004-07-05

arxiv.org/abs/gr-qc/0407018v2

Class.Quant.Grav. 21 (2004) 4881-4900

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

25 pages, 2 figures

Scientific paper

10.1088/0264-9381/21/21/009

The spherically symmetric volume operator is discussed and all its eigenstates and eigenvalues are computed. Even though the operator is more complicated than its homogeneous analog, the spectra are related in the sense that the larger spherically symmetric volume spectrum adds fine structure to the homogeneous spectrum. The formulas of this paper complete the derivation of an explicit calculus for spherically symmetric models which is needed for future physical investigations.

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