Underlining some mathematical and physical aspects about the concept of motion in general relativity

Benedetto, Elmo; Feleppa, Fabiano

doi:10.1007/s13370-018-0545-9

Cited by 2 publications

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“…Mach's view led to a misconception about the GTR. A more complete analysis of the debate can be find in [3]. After the formulation of the special theory of relativity and before its generalization to the GTR, also the French physicist Georges Sagnac took part in the debate.…”

Section: Introductionmentioning

confidence: 99%

On the general relativistic framework of the Sagnac effect

et al. 2019

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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.

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Section: Introductionmentioning

confidence: 99%