A note on the Sagnac effect in general relativity as a Finslerian effect
General Relativity and Quantum Cosmology
2023-02-07 v3 Differential Geometry
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.
Keywords
Cite
@article{arxiv.2107.12745,
title = {A note on the Sagnac effect in general relativity as a Finslerian effect},
author = {Erasmo Caponio and Antonio Masiello},
journal= {arXiv preprint arXiv:2107.12745},
year = {2023}
}
Comments
AMSLaTeX, 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