Birkhoff theorem for Berwald-Finsler spacetimes
- verfasst von
- Nicoleta Voicu, Samira Cheraghchi, Christian Pfeifer
- Abstract
Finsler spacetime geometry is a canonical extension of Riemannian spacetime geometry. It is based on a general length measure for curves (which does not necessarily arise from a spacetime metric) and it is used as an effective description of spacetime in quantum gravity phenomenology as well as in extensions of general relativity aiming to provide a geometric explanation of dark energy. A particular interesting subclass of Finsler spacetimes are those of Berwald type, for which the geometry is defined in terms of a canonical affine connection that uniquely generalizes the Levi-Civita connection of a spacetime metric. In this sense, Berwald Finsler spacetimes are Finsler spacetimes closest to pseudo-Riemannian ones. We prove that all Ricci-flat, spatially spherically symmetric Berwald spacetime structures are either pseudo-Riemannian (Lorentzian), or flat. This insight enables us to generalize the Jebsen-Birkhoff theorem to Berwald spacetimes.
- Externe Organisation(en)
-
Zentrum für angewandte Raumfahrttechnologie und Mikrogravitation (ZARM)
- Typ
- Artikel
- Journal
- Physical Review D
- Band
- 108
- ISSN
- 2470-0010
- Publikationsdatum
- 27.11.2023
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Kern- und Hochenergiephysik
- Elektronische Version(en)
-
https://doi.org/10.48550/arXiv.2306.07866 (Zugang:
Offen)
https://doi.org/10.1103/PhysRevD.108.104060 (Zugang: Geschlossen)
