Cosmological Landsberg Finsler spacetimes
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| author | Friedl-Szász, Annamária Popovici-Popescu, Elena Voicu, Nicoleta Pfeifer, Christian Heefer, Sjors |
| author_facet | Friedl-Szász, Annamária Popovici-Popescu, Elena Voicu, Nicoleta Pfeifer, Christian Heefer, Sjors |
| contents | We locally classify all possible cosmological homogeneous and isotropic Landsberg-type Finsler structures, in 4-dimensions. Among them, we identify viable non-stationary Finsler spacetimes, i.e. those geometries leading to a physical causal structure and a dynamical universe. Noting that any non-stationary Landsberg metric must be actually non-Berwaldian (i.e., it should be a so-called 'unicorn'), we construct the unique Finsler, non-Berwaldian Landsberg generalization of Friedmann-Lemaitre-Robertson-Walker geometry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_18197 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cosmological Landsberg Finsler spacetimes Friedl-Szász, Annamária Popovici-Popescu, Elena Voicu, Nicoleta Pfeifer, Christian Heefer, Sjors Mathematical Physics Differential Geometry We locally classify all possible cosmological homogeneous and isotropic Landsberg-type Finsler structures, in 4-dimensions. Among them, we identify viable non-stationary Finsler spacetimes, i.e. those geometries leading to a physical causal structure and a dynamical universe. Noting that any non-stationary Landsberg metric must be actually non-Berwaldian (i.e., it should be a so-called 'unicorn'), we construct the unique Finsler, non-Berwaldian Landsberg generalization of Friedmann-Lemaitre-Robertson-Walker geometry. |
| title | Cosmological Landsberg Finsler spacetimes |
| topic | Mathematical Physics Differential Geometry |
| url | https://arxiv.org/abs/2410.18197 |