On the general relativistic framework of the Sagnac effect

Benedetto, Elmo (Aff1, 0000 0004 1937 0335, Dipartimento di Informatica, Università di Salerno, Via Giovanni Paolo II, 132, 84084, Fisciano, SA, Italy) ; Feleppa, Fabiano (Aff2, 0000 0001 1941 4308, Department of Physics, University of Trieste, via Valerio 2, 34127, Trieste, Italy) ; Licata, Ignazio (Aff3, 0000 0004 0526 1998, Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), P.O. Box 55134-441, Maragha, Iran) (Aff4, International Institute for Applicable Mathematics and Information Sciences (IIAMIS), B.M. Birla Science Centre, 500 463, Adarsh Nagar, Hyderabad, India) ; Moradpour, Hooman (Aff3, 0000 0004 0526 1998, Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), P.O. Box 55134-441, Maragha, Iran) (Aff4, International Institute for Applicable Mathematics and Information Sciences (IIAMIS), B.M. Birla Science Centre, 500 463, Adarsh Nagar, Hyderabad, India) ; Corda, Christian (Aff3, 0000 0004 0526 1998, Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), P.O. Box 55134-441, Maragha, Iran) (Aff4, International Institute for Applicable Mathematics and Information Sciences (IIAMIS), B.M. Birla Science Centre, 500 463, Adarsh Nagar, Hyderabad, India)

04 March 2019

Abstract: The Sagnac effect is usually considered as being a relativistic effect produced in an interferometer when the device is rotating. General relativistic explanations are known and already widely explained in many papers. Such general relativistic approaches are founded on Einstein’s equivalence principle (EEP), which states the equivalence between the gravitational “force” and the pseudo-force experienced by an observer in a non-inertial frame of reference, included a rotating observer. Typically, the authors consider the so-called Langevin-Landau-Lifschitz metric and the path of light is determined by null geodesics. This approach partially hides the physical meaning of the effect. It seems indeed that the light speed varies by c±ωr in one or the other direction around the disk. In this paper, a slightly different general relativistic approach will be used. The different “gravitational field” acting on the beam splitter and on the two rays of light is analyzed. This different approach permits a better understanding of the physical meaning of the Sagnac effect.


Published in: EPJC 79 (2019) 187
Published by: Springer/Società Italiana di Fisica
DOI: 10.1140/epjc/s10052-019-6692-9
License: CC-BY-3.0



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