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| Título: | On the definition and examples of cones and Finsler spacetimes |
| Editorial: | Springer |
| Cita bibliográfica: | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. Volumen 114, artículo 30, 2020. |
| ISSN: | Print.:1578-7303 Electronic.: 1579-1505 |
| Palabras clave: | Finsler spacetime Lorentz-Finsler metrics and norms Cone structure Static and stationary spacetimes Zermelo navigation problem Generalized Fermat principle |
| Resumen: | A systematic study of (smooth, strong) cone structures C and Lorentz–Finsler metrics L is carried out. As a link between both notions, cone triples (, T , F), where (resp. T ) is a 1-form (resp. vector field) with (T ) ≡ 1 and F, a Finsler metric on ker(), are introduced. Explicit descriptions of all the Finsler spacetimes are given, paying special attention to stationary and static ones, as well as to issues related to differentiability. In particular, cone structures C are bijectively associated with classes of anisotropically conformal metrics L, and the notion of cone geodesic is introduced consistently with both structures. As a non- relativistic application, the time-dependent Zermelo navigation problem is posed rigorously, and its general solution is provided. |
| Autor/es principal/es: | Javaloyes, Miguel Ángel Sánchez, Miguel |
| Versión del editor: | https://link.springer.com/journal/13398 |
| URI: | http://hdl.handle.net/10201/149541 |
| DOI: | https://doi.org/10.1007/s13398-019-00736-y |
| Tipo de documento: | info:eu-repo/semantics/article |
| Número páginas / Extensión: | 46 |
| Derechos: | info:eu-repo/semantics/embargoedAccess |
| Descripción: | © 2019 Authors This document is the published version of a published work that appeared in final form in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas To access the final edited and published work see: https://doi.org/10.1007/s13398-019-00736-y |
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