In this manuscript, we firstly suggest different type for Fermi-Walker transportations along with flow lines of a non-vanishing vector field in Minkowski spacetime. Moreover, we construct the evolution equations of Frenet fields by Fermi-Walker derivative in Minkowski spacetime. Also, Fermi Walker parallelism is obtained the evolution equations of Frenet fields. Finally, we obtain some new results for flows by this new derivative in Minkowski spacetime.

中文翻译：

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时空类时流的费米-沃克变换

在这份手稿中，我们首先提出了不同类型的费米-沃克输运以及闵可夫斯基时空非零向量场的流线。此外，我们通过Fermi-Walker 导数在Minkowski 时空构造了Frenet 场的演化方程。此外，Fermi Walker 并行性得到了 Frenet 场的演化方程。最后，我们通过闵可夫斯基时空中的这个新导数获得了一些关于流动的新结果。