  We adopt a vierbein formalism to study pseudo-Finsler spaces modeled on a
pseudo-Minkowski space. We show that it is possible to obtain closed
expressions for most of the geometric objects of the theory, including
Berwald's curvature, Landsberg's tensor, Douglas' curvature, non-linear
connection and Ricci scalar. These expressions are particularly convenient in
computations since they factor the dependence on the base and the fiber. As an
illustration, we study Lorentz-Finsler spaces modeled on the Bogoslovsky
Lorentz-Minkowski space, and give sufficient conditions which guarantee the
Berwald property. We then specialize to a recently proposed Finslerian pp-wave
metric. Finally, the paper points out that non-trivial Berwald spaces have
necessarily indicatrices which admit some non-trivial linear group of
symmetries.
