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arXiv · 2512.10692

Master functions and hybrid quantization of perturbed nonrotating black hole interiors

Michele Lenzi·Guillermo A. Mena Marugán·Andrés Mínguez-Sánchez
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Abstract

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.

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Michele Lenzi, Guillermo A. Mena Marugán, Andrés Mínguez-Sánchez. 2025-12-11. Master functions and hybrid quantization of perturbed nonrotating black hole interiors. https://arxiv.org/abs/2512.10692

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