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

authored by

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.

External Organisation(s)

Center of Applied Space Technology and Microgravity (ZARM)

Type

Article

Journal

International Journal of Geometric Methods in Modern Physics

Volume

20

ISSN

1793-6977

Publication date

30.09.2023

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

Electronic version(s)

https://doi.org/10.1142/s0219887823501906 (Access: Unknown)
http://dx.doi.org/10.1142/S0219887823501906 (Access: Unknown)