Four-dimensional SO(3)-spherically symmetric Berwald Finsler spaces

verfasst von

Samira Cheraghchi, Christian Pfeifer, Nicoleta Voicu

Abstract

We locally classify all <FOR VERIFICATION>SO(3)-invariant four-dimensional pseudo-Finsler Berwald structures. These are Finslerian geometries which are closest to (spatially, or <FOR VERIFICATION>SO(3))-spherically symmetric pseudo-Riemannian ones - and serve as ansatz to find solutions of Finsler gravity equations which generalize the Einstein equations. We find that there exist five classes of non-pseudo-Riemannian (i.e. non-quadratic in the velocities) <FOR VERIFICATION>SO(3)-spherically symmetric pseudo-Finsler Berwald functions, which have either a heavily constrained dependence on the velocities, or, up to a suitable choice of the tangent bundle coordinates, no dependence at all on the "time"and "radial"coordinates.

Externe Organisation(en)

Zentrum für angewandte Raumfahrt­technologie und Mikro­gravitation (ZARM)

Typ

Artikel

Journal

International Journal of Geometric Methods in Modern Physics

Band

20

ISSN

1793-6977

Publikationsdatum

30.09.2023

Publikationsstatus

Veröffentlicht

Peer-reviewed

Ja

ASJC Scopus Sachgebiete

Physik und Astronomie (sonstige)

Elektronische Version(en)

https://doi.org/10.1142/s0219887823501906 (Zugang: Unbekannt)
http://dx.doi.org/10.1142/S0219887823501906 (Zugang: Unbekannt)