FINSLERIAN EXTENSION OF SCHWARZSCHILD METRIC

Continuing [1], the concept of the static and spherically symmetric gravitational field is examined in the context of the fibered Finslerian approach. The approximate analysis of the associated field equations is elaborated in a systematic manner, expanding the equations with respect to the low-velocity parameters and in the post-Newtonian way. An exact solution which has the meaning of direct extension of the Schwarzschild metric for the Finslerian case has been found assuming that fibres are of constant curvatures.