Spherically Symmetric Gravity on a Graph I: Theoretical Foundations
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917297172512768 |
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| author | Liegener, Klaus Rastgoo, Saeed Roberts, Jorden |
| author_facet | Liegener, Klaus Rastgoo, Saeed Roberts, Jorden |
| contents | This manuscript is the first in a series of instalments that investigate spherically symmetric solutions within the effective dynamics program of Loop Quantum Gravity. The choice of lattice is adapted such that it remains invariant under a set of symmetry transformations maximally mapping spherical symmetry to the discrete setting. The conditions for symmetry restriction of the dynamics are investigated and a subspace is identified to make computations feasible. Afterwards symplectic structure and scalar constraint are explicitly computed on this subspace. This lays the groundwork to target several particular solutions, such $k=1$ cosmology and black holes, which will serve as the subjects of forthcoming follow-up papers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_23308 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Spherically Symmetric Gravity on a Graph I: Theoretical Foundations Liegener, Klaus Rastgoo, Saeed Roberts, Jorden General Relativity and Quantum Cosmology This manuscript is the first in a series of instalments that investigate spherically symmetric solutions within the effective dynamics program of Loop Quantum Gravity. The choice of lattice is adapted such that it remains invariant under a set of symmetry transformations maximally mapping spherical symmetry to the discrete setting. The conditions for symmetry restriction of the dynamics are investigated and a subspace is identified to make computations feasible. Afterwards symplectic structure and scalar constraint are explicitly computed on this subspace. This lays the groundwork to target several particular solutions, such $k=1$ cosmology and black holes, which will serve as the subjects of forthcoming follow-up papers. |
| title | Spherically Symmetric Gravity on a Graph I: Theoretical Foundations |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2602.23308 |