| Abstract: | The previous work 1–3] was aimed at demonstrating the natural and intrinsic relationship between the fibered Finslerian framework and the Yang-Mills gauge field theroy based on the SU(2)-group of internal symmetries. In the present paper we continue the approach and find a particular solution for the Finslerian-extended Einstein equations that relates to static and spherically symmetric gravitational field. Our treatment has been stimulated by the following question: does the Finslerian approach predict the effect of speed-of-light change under transition from one inertially moving laboratory to another? The accurate solution which answers this question in positive has been found. |
