A Note on the Sagnac Effect in General Relativity as a Finslerian Effect

Foundations of Physics 52 (1):1-7 (2021)
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Abstract

The geometry of the Sagnac effect in a stationary region of a spacetime is reviewed with the aim of emphasizing the role of asymmetry of a Finsler metric defined on a spacelike hypersurface associated to a stationary splitting and related to future-pointing null geodesics of the spacetime. We show also that an analogous asymmetry comes into play in the Sagnac effect for timelike geodesics.

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