Four-dimensional <i>SO</i>(3)-spherically symmetric Berwald Finsler spaces

We locally classify all SO(3)-invariant four-dimensional pseudo-Finsler Berwald structures. These are Finslerian geometries which closest to (spatially, or SO(3))-spherically symmetric pseudo-Riemannian ones — and serve as ansatz find solutions of Finsler gravity equations generalize the Einstein equations. that there exist five classes non-pseudo-Riemannian (i.e. non-quadratic in velocities) SO(3)-spherically functions, have either a heavily constrained dependence on velocities, or, up suitable choice tangent bundle coordinates, no at “time” “radial” coordinates.