Abstract

Spinning equations of Finslerian gravity, the counterpart of the Mathisson-Papapetrou spinning equations of motion are obtained. Two approaches of Finslerian geometries are formulated and discussed, the Cartan-Rund and Finsler-Cartan ones, as well as their corresponding spinning equations. The significance of the nonlinear connection and its relevance on spinning equations is noticed, and their deviations are examined.

中文翻译：

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Finslerian几何中某些类的对象的旋转方程

摘要

获得了芬斯勒重力的旋转方程，这是Mathisson-Papapetrou运动的旋转方程的对立面。提出并讨论了Finslerian几何的两种方法，即Cartan-Rund和Finsler-Cartan方法，以及它们相应的旋转方程。注意到非线性连接的重要性及其与旋转方程的相关性，并检查了它们的偏差。