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

2007/12/04 by G. S. Asanov, Asanov, G. S.
Physics and Astronomy · #Advanced Differential Geometry Research #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.0712.0440

openalex publication_date 2007/12/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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