Causal ladder of Finsler spacetimes with a cone Killing vector field
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909854780620800 |
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| author | Caponio, Erasmo javaloyes, Miguel Angel |
| author_facet | Caponio, Erasmo javaloyes, Miguel Angel |
| contents | The correspondence between wind Riemannian structures and spacetimes endowed with a Killing vector field is deepened by considering a cone structure endowed with a vector field that preserve the structure (termed "cone Killing vector field") and a wind Finslerian structure. Causality properties of the former are characterized by using metric-type properties of the latter. A particular attention is posed to the case of a cone structure associated with a Finsler-Kropina type metric, i.e. a field of compact and strongly convex indicatrices that enclose the zero vector in the closure of its bounded interior at each tangent space of the manifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_05841 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Causal ladder of Finsler spacetimes with a cone Killing vector field Caponio, Erasmo javaloyes, Miguel Angel Differential Geometry The correspondence between wind Riemannian structures and spacetimes endowed with a Killing vector field is deepened by considering a cone structure endowed with a vector field that preserve the structure (termed "cone Killing vector field") and a wind Finslerian structure. Causality properties of the former are characterized by using metric-type properties of the latter. A particular attention is posed to the case of a cone structure associated with a Finsler-Kropina type metric, i.e. a field of compact and strongly convex indicatrices that enclose the zero vector in the closure of its bounded interior at each tangent space of the manifold. |
| title | Causal ladder of Finsler spacetimes with a cone Killing vector field |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2408.05841 |