English

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

Mathematical Physics 2007-12-05 v1 math.MP

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 bib_i to be the field of the time variable. Keywords: Finsler metrics, gravitational equations, curvature tensors.

Keywords

Cite

@article{arxiv.0712.0440,
  title  = {Finsleroid-regular space: curvature tensor, continuation of gravitational Schwarzschild metric},
  author = {G. S. Asanov},
  journal= {arXiv preprint arXiv:0712.0440},
  year   = {2007}
}