On spherically symmetric Berwald vacuum solutions in Finsler gravity
Abstract
Berwald-Finsler spacetimes are Finsler spacetimes that are closest to pseudo-Riemannian geometry, as their canonical nonlinear connection defines an affine connection on spacetime. In this paper, we find the first exact, non-Ricci flat, SO(3)-symmetric Berwald solutions to the Finsler gravity vacuum equation. To this aim, we first select from all spherically symmetric Berwald spacetimes, the only class that admits flat Finsler spacetime structures, making it particularly suitable for future investigations of asymptotic flatness. Then, for this class, we completely solve the Finsler gravity vacuum equation, and find three families of solutions. In particular, we show that in Finsler geometry there exist SO(3)-symmetric, vacuum solutions that are not Ricci-flat. These solutions are promising candidates to model the gravitational field around compact objects, beyond their Riemannian description.
Related
- Spherically symmetric Finsler metrics satisfying the σT-condition
- Static spherically symmetric electroweak models with fermions and gravity
- Sharp sign criterion for global existence and blow-up of strong solutions with arbitrarily large initial data in the 3D spherically symmetric compressible Navier-Stokes equations
- Schwarz lemma on bounded symmetric domains endowed with holomorphic invariant Kähler--Berwald metrics
- Unbounded log-concavity breaks in independence polynomials of spherically symmetric trees
BibTeX
@misc{voicu2026spherically,
title = {{On spherically symmetric Berwald vacuum solutions in Finsler gravity}},
author = {Nicoleta Voicu and Diana - Maria Birla and Christian Pfeifer},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2606.05427},
eprint = {2606.05427},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.05427},
}
RIS
TY - UNPB
TI - On spherically symmetric Berwald vacuum solutions in Finsler gravity
AU - Nicoleta Voicu
AU - Diana - Maria Birla
AU - Christian Pfeifer
PY - 2026
DA - 2026/09/23
PB - arXiv
DO - 10.48550/arxiv.2606.05427
UR - https://arxiv.org/abs/2606.05427
AB - Berwald-Finsler spacetimes are Finsler spacetimes that are closest to pseudo-Riemannian geometry, as their canonical nonlinear connection defines an affine connection on spacetime. In this paper, we find the first exact, non-Ricci flat, SO(3)-symmetric Berwald solutions to the Finsler gravity vacuum equation. To this aim, we first select from all spherically symmetric Berwald spacetimes, the only class that admits flat Finsler spacetime structures, making it particularly suitable for future investigations of asymptotic flatness. Then, for this class, we completely solve the Finsler gravity vacuum equation, and find three families of solutions. In particular, we show that in Finsler geometry there exist SO(3)-symmetric, vacuum solutions that are not Ricci-flat. These solutions are promising candidates to model the gravitational field around compact objects, beyond their Riemannian description.
ER -