Polar perturbations in Kantowski-Sachs spacetimes and hybrid quantum cosmology
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913805298040832 |
|---|---|
| author | Marugán, Guillermo A. Mena Mínguez-Sánchez, Andrés |
| author_facet | Marugán, Guillermo A. Mena Mínguez-Sánchez, Andrés |
| contents | Increasing attention has been recently devoted to the study of Kantowski-Sachs spacetime as a way to explore the interior of a Schwarzschild black hole. In this work, we construct a Hamiltonian formulation for polar perturbations of this spacetime in the presence of a perturbative massless scalar field. Our analysis is based on a truncated action at quadratic order in perturbations. Both background and perturbative degrees of freedom are treated dynamically, forming a combined system that is endowed with the canonical structure obtained from our truncated action. First-order perturbations of the metric and the matter field are described using perturbative gauge invariants, linear perturbative constraints, and their corresponding canonical variables. For the quantum description, we adopt a hybrid approach where the background is quantized with loop quantum gravity techniques and the perturbations with conventional quantum field methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_08281 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Polar perturbations in Kantowski-Sachs spacetimes and hybrid quantum cosmology Marugán, Guillermo A. Mena Mínguez-Sánchez, Andrés General Relativity and Quantum Cosmology Increasing attention has been recently devoted to the study of Kantowski-Sachs spacetime as a way to explore the interior of a Schwarzschild black hole. In this work, we construct a Hamiltonian formulation for polar perturbations of this spacetime in the presence of a perturbative massless scalar field. Our analysis is based on a truncated action at quadratic order in perturbations. Both background and perturbative degrees of freedom are treated dynamically, forming a combined system that is endowed with the canonical structure obtained from our truncated action. First-order perturbations of the metric and the matter field are described using perturbative gauge invariants, linear perturbative constraints, and their corresponding canonical variables. For the quantum description, we adopt a hybrid approach where the background is quantized with loop quantum gravity techniques and the perturbations with conventional quantum field methods. |
| title | Polar perturbations in Kantowski-Sachs spacetimes and hybrid quantum cosmology |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2503.08281 |