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The Volume Operator in Spherically Symmetric Quantum Geometry
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The Volume Operator in Spherically Symmetric Quantum Geometry
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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.
Forward citations
Cited by 2 Pith papers
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Orbital Dynamics and Gravitational-Wave Signatures of EMRIs in Self-Dual Loop Quantum Gravity Black Holes
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Quasinormal Modes of Self-Dual Loop Quantum Gravity Corrected Kerr Black Holes
In a rotating LQG-corrected black hole model, the polymeric parameter P lowers scalar quasinormal-mode frequencies, while spin raises them.
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