We study an action integral for Finsler gravity obtained by pulling back an
Einstein-Cartan-like Lagrangian from the tangent bundle to the base manifold.
The vacuum equations are obtained imposing stationarity with respect to any
section (observer) and are well posed as they are independent of the section.
They imply that in vacuum the metric is actually independent of the velocity
variable so the dynamics becomes coincident with that of general relativity.