Expansion operators in spherically symmetric loop quantum gravity
Abstract
The ingoing and outgoing null expansions associated to a spatial 2-sphere are quantized in the spherically symmetric model of loop quantum gravity. It is shown that the resulting expansion operators are self-adjoint in the kinematical Hilbert space with generalized eigenstates. It turns out that the outgoing and ingoing expansion operators share the common continuous part of their spectra but have different additional isolated eigenvalues. These results provide new insights on the avoidance of the singularities in classical general relativity and the establishment of certain notion of quantum horizons.
Fields of Study & Subjects
Noncommutative and Quantum Gravity Theories
Advanced Differential Geometry Research
Black Holes and Theoretical Physics
Publication details
- Journal / source
- Physical review. D/Physical review. D.
- Publisher
- American Physical Society (APS)
- Volume
- 113
- Issue
- 8
- Publication date
- 16 March 2026
- Language
- EN