Details
| Original language | English |
|---|---|
| Article number | 2350190 |
| Journal | International Journal of Geometric Methods in Modern Physics |
| Volume | 20 |
| Issue number | 11 |
| Early online date | 6 Jun 2023 |
| Publication status | Published - 30 Sept 2023 |
| Externally published | Yes |
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.
Keywords
- Berwald space, Finsler space, spherical symmetry
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Physics and Astronomy (miscellaneous)
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: International Journal of Geometric Methods in Modern Physics, Vol. 20, No. 11, 2350190, 30.09.2023.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Four-dimensional SO(3)-spherically symmetric Berwald Finsler spaces
AU - Cheraghchi, Samira
AU - Pfeifer, Christian
AU - Voicu, Nicoleta
N1 - Publisher Copyright: © 2023 World Scientific Publishing Company.
PY - 2023/9/30
Y1 - 2023/9/30
N2 - 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.
AB - 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.
KW - Berwald space
KW - Finsler space
KW - spherical symmetry
UR - http://www.scopus.com/inward/record.url?scp=85162744641&partnerID=8YFLogxK
U2 - 10.1142/s0219887823501906
DO - 10.1142/s0219887823501906
M3 - Article
VL - 20
JO - International Journal of Geometric Methods in Modern Physics
JF - International Journal of Geometric Methods in Modern Physics
SN - 1793-6977
IS - 11
M1 - 2350190
ER -