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General Relativity and Gravitation

, Volume 34, Issue 9, pp 1371–1382 | Cite as

Angular Momentum Effects in Michelson–Morley Type Experiments

  • Angelo Tartaglia
  • Matteo Luca Ruggiero
Article

Abstract

The effect of the angular momentum density of a gravitational source on the times of flight of light rays in an interferometer is analyzed. The calculation is made imagining that the interferometer is at the equator of an axisymmetric steadily rotating gravity source. In order to evaluate the size of the effect in the case of the Earth a weak field approximation for the metric elements is introduced. For laboratory scales and non-geodesic paths the correction due to the angular momentum turns out to be comparable with the sensitivity expected in gravitational waves interferometric detectors, whereas it drops under the threshold of detectability when using free (geodesic) light rays.

Gravitomagnetism Michelson—Morley 

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References

  1. [1]
    H. Reichenbach, Axiomatization of the Theory of Relativity, University of California Press, Berkeley, Cal (1969).Google Scholar
  2. [2]
    Zhang Y. Z., (1987). Europhys. Lett. 3, 1251.Google Scholar
  3. [3]
    E. Diaz-Miguel, (1993). Class. Quantum Grav. 10, 2691.Google Scholar
  4. [4]
    I. Ciufolini, (2000). Class. Quantum Grav. 17, 2369.Google Scholar
  5. [5]
    H. Thirring, (1918). Phys. Z. 19, 33; 22, 29(1921); J. Lense and H. Thirring, (1918). Phys. Z. 19, 156; these papers have been translated in English and published by B. Mashhoon, F.W. Hehl and D.S. Theiss, (1984). Gen. Rel. Grav. 16, 711.Google Scholar
  6. [6]
    C. W. F. Everitt, “Gravity Probe B: I Scientific Implications,” Proceedings of the sixth Marcel Grossmann meeting on Relativity, Kyoto, eds. H. Sato, T. Nakamura, p. 1632, World Scientific (1991).Google Scholar
  7. [7]
    B. Mashhoon, F. Gronwald, F.W. Hehl, and D. S. Theiss, (1999). Ann. Phys. (Leipz.) 8, 135and Los Alamos Archives gr-qc/9804008.Google Scholar
  8. [8]
    A. Tartaglia, (2000). Class. Quantum Grav. 17, 783.Google Scholar
  9. [9]
    A. Abramovici et al., (1992). Science. 256, 325.Google Scholar
  10. [10]
    C. Bradaschia et al., (1990). Nucl. Inst. Meth. A 289, 518.Google Scholar
  11. [11]
    N. Straumann, (1991). General Relativity and Relativistic Astrophysics, Springer-Verlag Berlin.Google Scholar
  12. [12]
    K. A. Murphy, Shari Feth, Ashish M. Vengsarkar, and R. O. Claus, “Sapphire fiber interferometer for microdisplacement measurements at high temperature,” Proc. SPIE, vol. 1588, (Boston, MA), September 1991; S. Rowan, G. Cagnoli, P. Sneddon, J. Hough, R. Route, E.K. Gustafson, M.M. Fejer, and V. Mitrofanov, (2000). Phys. Lett. A 265, 5.Google Scholar

Copyright information

© Plenum Publishing Corporation 2002

Authors and Affiliations

  • Angelo Tartaglia
    • 1
  • Matteo Luca Ruggiero
    • 1
  1. 1.Dip. FisicaPolitecnico and INFNTurinItaly

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