Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1901177 | Reports on Mathematical Physics | 2008 | 26 Pages |
Abstract
The Finsleroid-Finsler space proves to become totally regular when the norm ∥b∥ = c of the input 1-form b is taken to be an arbitrary positive scalar c(x) < 1. By performing required direct evaluations, the respective spray coefficients have been obtained in a simple and transparent form. The adequate regular pseudo-Finsleroid metric function is indicated. A convenient method is elaborated to evaluate the associated Finslerian curvature tensor. The (pseudo-)Finsleroid-regular Berwald space is obtainable under the assumptions that the Finsleroid charge is a constant and the 1-form b is parallel. A continuation of the Schwarzschild metric in the Finslerian domain with respect to the parameter g has consistently arisen.
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