Homothetic expansion of polyhedra in the two-vertex model: emergence of FLRW
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911047594541056 |
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| author | Garay, Iñaki Rodríguez-González, Sergio Vera, Raül |
| author_facet | Garay, Iñaki Rodríguez-González, Sergio Vera, Raül |
| contents | The cosmological behavior associated to a U(N)-symmetry reduced sector of the loop-quantum-gravity truncation known as the two-vertex model is further explored in this work. We construct convenient frame bases that encode the whole classical phase space of the twisted geometry associated to the graph. We show that the polyhedra of the twisted geometry suffer under evolution an homothetic expansion, which strengthens the correspondence to the Robertson-Walker geometry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_06951 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Homothetic expansion of polyhedra in the two-vertex model: emergence of FLRW Garay, Iñaki Rodríguez-González, Sergio Vera, Raül General Relativity and Quantum Cosmology The cosmological behavior associated to a U(N)-symmetry reduced sector of the loop-quantum-gravity truncation known as the two-vertex model is further explored in this work. We construct convenient frame bases that encode the whole classical phase space of the twisted geometry associated to the graph. We show that the polyhedra of the twisted geometry suffer under evolution an homothetic expansion, which strengthens the correspondence to the Robertson-Walker geometry. |
| title | Homothetic expansion of polyhedra in the two-vertex model: emergence of FLRW |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2507.06951 |