TY - UNPB
T1 - Cosmological Landsberg Finsler spacetimes
AU - Friedl-Szász, Annamária
AU - Popovici-Popescu, Elena
AU - Voicu, Nicoleta
AU - Pfeifer, Christian
AU - Heefer, Sjors
PY - 2024
Y1 - 2024
N2 - 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.
AB - 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.
KW - math-ph
KW - math.DG
KW - math.MP
M3 - Preprint
BT - Cosmological Landsberg Finsler spacetimes
ER -