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On Fermi-Walker transformation for timelike flows in spacetime

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Abstract 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… Click to show full abstract

Abstract 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.

Keywords: transformation timelike; minkowski spacetime; walker; timelike flows; fermi walker; walker transformation

Journal Title: Journal of Geometry and Physics
Year Published: 2021

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