On Twisted Spacetimes: a new class of Galilean cosmological models
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866917096234942464 |
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| author | de la Fuente, Daniel Rubio, Rafael M. Torrente, Jose |
| author_facet | de la Fuente, Daniel Rubio, Rafael M. Torrente, Jose |
| contents | Within the generalized Newton-Cartan theory, Galilean Twisted spacetimes are introduced as dual models of the well-known relativistic twisted spacetimes. As a natural generalization, torqued vector fields in Galilean spacetimes are defined, showing that the local structure of a Galilean spacetime admitting a timelike torqued vector field is given by a Twisted spacetime. In addition, several results assuring the global splitting as Twisted spacetime are obtained. On the other hand, completeness of free falling observers is studied, as well as general geodesic completeness. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_10155 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Twisted Spacetimes: a new class of Galilean cosmological models de la Fuente, Daniel Rubio, Rafael M. Torrente, Jose General Relativity and Quantum Cosmology Mathematical Physics Within the generalized Newton-Cartan theory, Galilean Twisted spacetimes are introduced as dual models of the well-known relativistic twisted spacetimes. As a natural generalization, torqued vector fields in Galilean spacetimes are defined, showing that the local structure of a Galilean spacetime admitting a timelike torqued vector field is given by a Twisted spacetime. In addition, several results assuring the global splitting as Twisted spacetime are obtained. On the other hand, completeness of free falling observers is studied, as well as general geodesic completeness. |
| title | On Twisted Spacetimes: a new class of Galilean cosmological models |
| topic | General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2406.10155 |