Cosmological Landsberg Finsler spacetimes
Mathematical Physics
2025-10-08 v3 Differential Geometry
math.MP
Abstract
We locally classify all possible cosmological homogeneous and isotropic Landsberg-type Finsler structures, in 4-dimensions. Among them, we identify viable non-stationary Finsler spacetimes, i.e. those geometries leading to a physical causal structure and a dynamical universe. Noting that any non-stationary Landsberg metric must be actually non-Berwaldian (i.e., it should be a so-called 'unicorn'), we construct the unique Finsler, non-Berwaldian Landsberg generalization of Friedmann-Lemaitre-Robertson-Walker geometry.
Keywords
Cite
@article{arxiv.2410.18197,
title = {Cosmological Landsberg Finsler spacetimes},
author = {Annamária Friedl-Szász and Elena Popovici-Popescu and Nicoleta Voicu and Christian Pfeifer and Sjors Heefer},
journal= {arXiv preprint arXiv:2410.18197},
year = {2025}
}