Quantized ingoing and outgoing null expansion operators in spherically symmetric LQG are self-adjoint with a shared continuous spectrum but differing isolated eigenvalues.
Spherically sym- metric quantum geometry: Hamiltonian constraint.Clas- sical and Quantum Gravity, 23(6):2129
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Expansion operators in spherically symmetric loop quantum gravity
Quantized ingoing and outgoing null expansion operators in spherically symmetric LQG are self-adjoint with a shared continuous spectrum but differing isolated eigenvalues.