On the theory of gravitational field in Finsler spaces. Pt. 3

From the vector bundle-like standpoint, the Finslerian gravitational field is regarded as the total space of the vector bundle whose fibre is the internal (y)-field spanned by vectors [y] (i.e., the so-called internal space spanned by [y]) and whose base is the external (x)-field spanned by points [x] (i.e., the Einstein's gravitational field). Along this line, in this paper, different from a previous paper, the so-called mapping process of the (y)-field on the (x)-field is not taken into account and following Miron's method, the Finslerian field equations will be derived from the Einstein's field equation for the total space. Some physical considerations will be made on those field equations. (author)