  In this work we study Berwald spacetimes and their vacuum dynamics, where the
latter are based on a Finsler generalization of the Einstein's equations
derived from an action on the unit tangent bundle. In particular, we consider a
specific class of spacetimes which are non-flat generalizations of the very
special relativity (VSR) line element, to which we refer as very general
relativity (VGR). We derive necessary and sufficient conditions for the VGR
line element to be of Berwald type. We present two novel examples with the
corresponding vacuum field equations: a Finslerian generalization of vanishing
scalar invariant (VSI) spacetimes in Einstein's gravity as well as the most
general homogeneous and isotropic VGR spacetime.
