Consistency of the LQG quantization of black holes coupled with scalar matter and a clock
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866915924299218944 |
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| author | Eyheralde, Rodrigo Gambini, Rodolfo |
| author_facet | Eyheralde, Rodrigo Gambini, Rodolfo |
| contents | The Dirac quantization of spherically symmetric gravity coupled to a scalar field in Loop Quantum Gravity remains unresolved, mainly because of the difficulty in maintaining a consistent constraint algebra at the quantum level. One possible way to overcome this obstruction is to fix the gauge by coupling the system to a physical clock. However, this approach requires careful control of the consistency of the gauge-fixed theory and factor-ordering ambiguities. Here, we address these issues by analyzing whether the gauge-fixed quantization reproduces the well-known results for the quantization of a black hole in vacuum using the Dirac method. This requires a treatment valid throughout the outer region of the black hole, where the asymptotic approximations considered in previous studies do not hold true. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_07499 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Consistency of the LQG quantization of black holes coupled with scalar matter and a clock Eyheralde, Rodrigo Gambini, Rodolfo General Relativity and Quantum Cosmology The Dirac quantization of spherically symmetric gravity coupled to a scalar field in Loop Quantum Gravity remains unresolved, mainly because of the difficulty in maintaining a consistent constraint algebra at the quantum level. One possible way to overcome this obstruction is to fix the gauge by coupling the system to a physical clock. However, this approach requires careful control of the consistency of the gauge-fixed theory and factor-ordering ambiguities. Here, we address these issues by analyzing whether the gauge-fixed quantization reproduces the well-known results for the quantization of a black hole in vacuum using the Dirac method. This requires a treatment valid throughout the outer region of the black hole, where the asymptotic approximations considered in previous studies do not hold true. |
| title | Consistency of the LQG quantization of black holes coupled with scalar matter and a clock |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2604.07499 |