Expansion operators in spherically symmetric loop quantum gravity
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866914494058332160 |
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| author | Fei, Xiaotian Long, Gaoping Ma, Yongge Zhang, Cong |
| author_facet | Fei, Xiaotian Long, Gaoping Ma, Yongge Zhang, Cong |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_15628 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Expansion operators in spherically symmetric loop quantum gravity Fei, Xiaotian Long, Gaoping Ma, Yongge Zhang, Cong General Relativity and Quantum Cosmology 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. |
| title | Expansion operators in spherically symmetric loop quantum gravity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2602.15628 |