Quantized ingoing and outgoing null expansion operators in spherically symmetric LQG are self-adjoint with a shared continuous spectrum but differing isolated eigenvalues.
Isolated hori- zons and black hole entropy in loop quantum gravity
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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.