Finsleroid-regular space: curvature tensor, continuation of gravitational Schwarzschild metric

The method of simple straightforward calculation of the curvature tensor of the Finsleroid–regular space is indicated. The Schwarzschild metric which underlines the gravitational field produced by static spherical-symmetric body is shown to be uniquely extended to the Finslerian domain upon a consistent treatment of the pseudo-Finsleroid axis vector field $b_i$ to be the field of the time variable. Keywords: Finsler metrics, gravitational equations, curvature tensors.