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

Abstract

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.

References in corpus (3)

• Finsleroid--Finsler Space with Berwald and Landsberg Conditions
• Finsleroid--Finsler Space and Spray Coefficients
• Finsleroid Corrects Pressure and Energy of Universe. Respective Cosmological Equations

Cited by in corpus (1)

• Finslerian angle-preserving connection in two-dimensional case. Regular realization