Abstract
We focus on the Sagnac effect for light beams in order to evaluate if the higher-order relativistic corrections of kinematic origin could be relevant for actual terrestrial experiments. Moreover, we discuss to what extent the analogy with the Aharonov-Bohm effect holds true in a fully relativistic framework. We show that the analogy with the Aharonov-Bohm is not true in general, but is recovered in a suitable low-order approximation, and that even though the Sagnac effect is influenced by both the position of the interferometer in the rotating frame and its extension, these effects are negligible for current terrestrial experiments.
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References
G. Sagnac, C.R. Acad. Sci. Paris 141, 1220 (1905).
G. Sagnac, C.R. Acad. Sci. Paris 157, 708 (1913) (the English translation can be found in G. Rizzi, M.L. Ruggiero (Editors), Relativity in Rotating Frames, in Fundamental Theories of Physics Series, edited by A. Van der Merwe (Kluwer Academic Publishers, Dordrecht, 2003).
G. Rizzi, M.L. Ruggiero (Editors), Relativity in Rotating Frames, in Fundamental Theories of Physics Series, edited by A. Van der Merwe (Kluwer Academic Publishers, Dordrecht, 2003).
G. Rizzi, A. Tartaglia, Found. Phys. 12, 179 (1999).
G. Rizzi, M.L. Ruggiero, in Relativity in Rotating Frames, edited by G. Rizzi, M.L. Ruggiero, in Fundamental Theories of Physics Series, edited by A. Van der Merwe (Kluwer Academic Publishers, Dordrecht, 2003) Chapt. 10.
G. Rizzi, M.L. Ruggiero, Gen. Relativ. Gravit. 35, 1743 (2003).
G. Rizzi, M.L. Ruggiero, Gen. Relativ. Gravit. 35, 2129 (2003).
L.D. Landau, E.M. Lifshitz, The Classical Theory of Field (Pergamon Press, Oxford, 1971) see in particular sects. 84, 88, 89.
E.J. Post, Rev. Mod. Phys. 39, 475 (1967).
W.W. Chow et al., Rev. Mod. Phys. 57, 61 (1985).
V. Vali, R.W. Shorthill, Appl. Opt. 15, 1099 (1976).
G.E. Stedman, Rep. Prog. Phys. 60, 615 (1997).
N. Ashby, in Relativity in Rotating Frames, edited by G. Rizzi, M.L. Ruggiero, in Fundamental Theories of Physics Series, edited by A. Van der Merwe (Kluwer Academic Publishers, Dordrecht, 2003) Chapt. 1.
J.C. Hafele, R.E. Keating, Science 177, 166 (1972).
J.C. Hafele, R.E. Keating, Science 177, 168 (1972).
G. Rizzi, A. Serafini, in Relativity in Rotating Frames, edited by G. Rizzi, M.L. Ruggiero, in Fundamental Theories of Physics Series, edited by A. Van der Merwe (Kluwer Academic Publishers, Dordrecht, 2003) Chapt. 5.
G.E. Stedman, K.U. Schreiber, H.R. Bilger, Class. Quantum Grav. 20, 2527 (2003).
F. Bosi et al., Phys. Rev. D 84, 122002 (2011).
M. Allegrini et al., J. Phys.: Conf. Ser. 375, 062005 (2012).
C.W. Misner, K.S. Thorne, J.A. Wheeler, Gravitation (Freeman, S. Francisco, 1973).
I. Ciufolini, J.A. Wheeler, Gravitation and Inertia (Princeton University Press, Princeton, 1995).
P. Maraner, J.-P. Zendri, Gen. Relativ. Gravit. 44, 1713 (2012).
E. Kajari, M. Buser, C. Feiler, W.P. Schleich, Riv. Nuovo Cimento 32, 339 (2009).
M.L. Ruggiero, A. Tartaglia, Nuovo Cimento B 117, 743 (2002).
B. Mashhoon, in The Measurement of Gravitomagnetism: A Challenging Enterprise, edited by L. Iorio (Nova Science, New York, 2007) arXiv:gr-qc/0311030.
K.U. Schreiber, T. Klugel, J.-P.R. Wells, R.B. Hurst, A. Gebauer, Phys. Rev. Lett. 107, 173904 (2011).
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Ruggiero, M.L., Tartaglia, A. A note on the Sagnac effect and current terrestrial experiments. Eur. Phys. J. Plus 129, 126 (2014). https://doi.org/10.1140/epjp/i2014-14126-y
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DOI: https://doi.org/10.1140/epjp/i2014-14126-y