On the Theory of Gravitational Field in Finsler Spaces ‐ II

Continuing the last paper [1], more detailed considerations are made on the spatial structure of the Finslerian gravitational field: firstly, a unified field between the external ( x )‐field and the internal ( y )‐field is constructed from a vector bundle‐like standpoint, where the intrinsic behavior (i.e., δ y ) of the internal vector variable y is taken into account; secondly, the connection structure and the metrical structure are determined by setting the base and dual base properly in the unified field; thirdly, a compactification process of the internal field (i.e., a mapping process of the ( y )‐field on the ( x )‐field) is considered in order to realize a four‐dimensional Finslerian structure.