Details
| Originalsprache | Englisch |
|---|---|
| Aufsatznummer | 198 |
| Fachzeitschrift | Universe |
| Jahrgang | 9 |
| Ausgabenummer | 4 |
| Publikationsstatus | Veröffentlicht - 20 Apr. 2023 |
| Extern publiziert | Ja |
Abstract
For the general class of pseudo-Finsler spaces with (Formula presented.) -metrics, we establish necessary and sufficient conditions such that these admit a Finsler spacetime structure. This means that the fundamental tensor has a Lorentzian signature on a conic subbundle of the tangent bundle and thus the existence of a cone of future-pointing time-like vectors is ensured. The identified (Formula presented.) -Finsler spacetimes are candidates for applications in gravitational physics. Moreover, we completely determine the relation between the isometries of an (Formula presented.) -metric and the isometries of the underlying pseudo-Riemannian metric a; in particular, we list all (Formula presented.) -metrics which admit isometries that are not isometries of a.
ASJC Scopus Sachgebiete
- Physik und Astronomie (insg.)
- Allgemeine Physik und Astronomie
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in: Universe, Jahrgang 9, Nr. 4, 198, 20.04.2023.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - The Finsler Spacetime Condition for (α,β)-Metrics and Their Isometries
AU - Voicu, Nicoleta
AU - Friedl-Szász, Annamária
AU - Popovici-Popescu, Elena
AU - Pfeifer, Christian
N1 - Funding information: This article is based upon work from COST Action CA21136 (Addressing observational tensions in cosmology with systematics and fundamental physics CosmoVerse) and the authors would like to acknowledge networking support by the COST Action CA18108 (Quantum Gravity Phenomenology in the Multi-Messenger Approach), supported by COST (European Cooperation in Science and Technology). The authors are grateful to Andrea Fuster and Sjors Heefer for numerous useful discussions and their insight. C.P. is funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) Project Number 420243324 and acknowledges the excellence cluster Quantum Frontiers funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy EXC-2123 QuantumFrontiers 390837967.
PY - 2023/4/20
Y1 - 2023/4/20
N2 - For the general class of pseudo-Finsler spaces with (Formula presented.) -metrics, we establish necessary and sufficient conditions such that these admit a Finsler spacetime structure. This means that the fundamental tensor has a Lorentzian signature on a conic subbundle of the tangent bundle and thus the existence of a cone of future-pointing time-like vectors is ensured. The identified (Formula presented.) -Finsler spacetimes are candidates for applications in gravitational physics. Moreover, we completely determine the relation between the isometries of an (Formula presented.) -metric and the isometries of the underlying pseudo-Riemannian metric a; in particular, we list all (Formula presented.) -metrics which admit isometries that are not isometries of a.
AB - For the general class of pseudo-Finsler spaces with (Formula presented.) -metrics, we establish necessary and sufficient conditions such that these admit a Finsler spacetime structure. This means that the fundamental tensor has a Lorentzian signature on a conic subbundle of the tangent bundle and thus the existence of a cone of future-pointing time-like vectors is ensured. The identified (Formula presented.) -Finsler spacetimes are candidates for applications in gravitational physics. Moreover, we completely determine the relation between the isometries of an (Formula presented.) -metric and the isometries of the underlying pseudo-Riemannian metric a; in particular, we list all (Formula presented.) -metrics which admit isometries that are not isometries of a.
KW - (α,β)-metric
KW - Finsler geometry
KW - isometry
UR - http://www.scopus.com/inward/record.url?scp=85153761063&partnerID=8YFLogxK
U2 - 10.3390/universe9040198
DO - 10.3390/universe9040198
M3 - Article
AN - SCOPUS:85153761063
VL - 9
JO - Universe
JF - Universe
IS - 4
M1 - 198
ER -