# A note on the Sagnac effect in general relativity as a Finslerian effect

@inproceedings{Caponio2021ANO, title={A note on the Sagnac effect in general relativity as a Finslerian effect}, author={Erasmo Caponio and Antonio Masiello}, year={2021} }

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 Finsler metrics that describe both future-pointing null and timelike geodesics.

#### References

SHOWING 1-10 OF 20 REFERENCES

The Sagnac effect in general relativity

- Physics
- 1975

The Sagnac effect is a phase shift observed between two beams of light traversing in opposite directions the same closed path around a rotating object. A description of this experiment is obtained… Expand

Finsler geodesics in the presence of a convex function

- Mathematics
- 2009

In this paper, we obtain a result about the existence of only a finite number of geodesics between two fixed non-conjugate points in a Finsler manifold endowed with a convex function. We apply it to… Expand

Notes on the Sagnac effect in general relativity

- Physics
- 2018

The Sagnac effect can be described as the difference in travel time between two photons traveling along the same path in opposite directions. In this paper we explore the consequences of this… Expand

On the energy functional on Finsler manifolds and applications to stationary spacetimes

- Mathematics, Physics
- 2007

In this paper we first study some global properties of the energy functional on a non-reversible Finsler manifold. In particular we present a fully detailed proof of the Palais–Smale condition under… Expand

A Direct Kinematical Derivation of the Relativistic Sagnac Effect for Light or Matter Beams

- Physics
- 2003

The Sagnac time delay and the corresponding Sagnac phase shift, for relativistic matter and electromagnetic beams counter-propagating in a rotating interferometer, are deduced on the ground of… Expand

Wind Finslerian structures: from Zermelo's navigation to the causality of spacetimes

- Mathematics, Physics
- 2014

The notion of wind Finslerian structure is developed; this is a generalization of Finsler metrics where the indicatrices at the tangent spaces may not contain the zero vector. In the particular case… Expand

On the radar method in general-relativistic spacetimes.

- Physics
- 2008

If a clock, mathematically modeled by a parametrized timelike curve in a general-relativistic spacetime, is given, the radar method assigns a time and a distance to every event which is sufficiently… Expand

Cylindrical systems in general relativity

- Physics
- 2019

With the arrival of the era of gravitational wave astronomy, the strong gravitational field regime will be explored soon in various aspects. In this article, we provide a general review over… Expand

$t$-periodic light rays in conformally stationary spacetimes via Finsler geometry

- Mathematics
- 2008

In this paper we prove several multiplicity results of $t$-periodic light rays in conformally stationary spacetimes using the Fermat metric and the extensions of the classical theorems of… Expand

Gravitational Lensing from a Spacetime Perspective

- Physics, Medicine
- Living reviews in relativity
- 2004

The theory of gravitational lensing is reviewed from a spacetime perspective, without quasi-Newtonian approximations, and includes general theorems on the classification of caustics, on criteria for multiple imaging, and on the possible number of images. Expand