Stationary–Complete Spacetimes with non-standard splittings and pre-Randers metrics
| Autor: | Jónatan Herrera, Miguel Angel Javaloyes |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Fermat's Last Theorem
Pure mathematics Geodesic Multiplicity results 010102 general mathematics General Physics and Astronomy Conformal map Causal structure 01 natural sciences Bridge (interpersonal) 0103 physical sciences Metric (mathematics) Mathematics::Metric Geometry Mathematics::Differential Geometry 010307 mathematical physics Geometry and Topology 0101 mathematics Mathematical Physics Mathematics |
| Zdroj: | Journal of Geometry and Physics. 163:104120 |
| ISSN: | 0393-0440 |
| Popis: | Using the relativistic Fermat’s principle, we establish a bridge between stationary–complete manifolds which satisfy the observer-manifold condition and pre-Randers metrics, namely, Randers metrics without any restriction on the one-form. As a consequence, we give a description of the causal ladder of such spacetimes in terms of the elements associated with the pre-Randers metric: its geodesics and the associated distance. We obtain, as applications of this interplay, the description of conformal maps of Killing submersions, and existence and multiplicity results for geodesics of pre-Randers metrics and magnetic geodesics. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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