Master functions and hybrid quantization of perturbed nonrotating black hole interiors
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915677897490432 |
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| author | Lenzi, Michele Marugán, Guillermo A. Mena Mínguez-Sánchez, Andrés |
| author_facet | Lenzi, Michele Marugán, Guillermo A. Mena Mínguez-Sánchez, Andrés |
| contents | Master functions of black holes are fundamental tools in gravitational-wave physics and are typically derived within a Lagrangian framework. Starting from the Kantowski-Sachs geometry, one can instead construct a perturbative Hamiltonian description for the interior region of an uncharged and nonrotating black hole. This approach provides a complementary perspective and enables a quantum treatment of the background geometry and its perturbations. In this work, we extend the application of this formulation to the exterior region and establish a correspondence between the perturbative invariants of the canonical approach and the master functions commonly used in black hole analyses. Once a consistent Hamiltonian description for their canonical counterparts is obtained, a hybrid quantization of the master functions follows naturally. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_10692 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Master functions and hybrid quantization of perturbed nonrotating black hole interiors Lenzi, Michele Marugán, Guillermo A. Mena Mínguez-Sánchez, Andrés General Relativity and Quantum Cosmology Master functions of black holes are fundamental tools in gravitational-wave physics and are typically derived within a Lagrangian framework. Starting from the Kantowski-Sachs geometry, one can instead construct a perturbative Hamiltonian description for the interior region of an uncharged and nonrotating black hole. This approach provides a complementary perspective and enables a quantum treatment of the background geometry and its perturbations. In this work, we extend the application of this formulation to the exterior region and establish a correspondence between the perturbative invariants of the canonical approach and the master functions commonly used in black hole analyses. Once a consistent Hamiltonian description for their canonical counterparts is obtained, a hybrid quantization of the master functions follows naturally. |
| title | Master functions and hybrid quantization of perturbed nonrotating black hole interiors |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2512.10692 |