A note on the Sagnac effect in general relativity as a Finslerian effect
arXiv:2107.12745 · doi:10.1007/s10701-021-00523-z
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.
arXiv commentAMSLaTeX, 6 pages; v3: a misprint in Eq. (3) and in the equation at the end of the paper corrected; these two corrections are not included in the published version
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