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Lense-Thirring Type Gravitational Forces Between Disks and Cylinders

Nature Physical Science volume 232, pages 193–195 (1971)Cite this article

Abstract

BECAUSE of the widespread interest in measuring forces between spinning cylinders and disks1,2 and the speculative nature of the conclusions reached in previous discussions, we have made a quantitative calculation of the magnitude of the forces. As in earlier calculations3, our approach is based on a weak field low velocity (EIH) approximation to general relativity. By methods familiar from potential theory in electrodynamics we first compute the first order corrections to a fiat space metric due to the presence of a spinning cylinder.

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References

  1. Salisbury, W. W., Nature, 224, 782 (1969).

    Article  ADS  Google Scholar 

  2. Frehland, E., Nature, 230, 11 (1971).

    ADS  Google Scholar 

  3. Barker, B. M., and O'Connell, R. F., Phys. Rev. D., 2, 1428 (1970).

    Article  ADS  Google Scholar 

  4. Robertson, H. P., and Noonan, T. W., in Relativity and Cosmology (W. B. Saunders, Philadelphia, 1968).

    MATH  Google Scholar 

  5. Jackson, J. D., Classical Electrodynamics, page 96 (Wiley and Sons, New York, 1962).

    MATH  Google Scholar 

  6. Adler, R., Bazin, M., and Schiffer, M., Introduction to General Relativity, page 53 (McGraw Hill, New York, 1965).

    MATH  Google Scholar 

  7. Watson, G. N., Theory of Bessel Functions (Cambridge University Press, London, 1962).

    Google Scholar 

  8. Beams, J. W., Science, 120, 619 (1954).

    Article  ADS  Google Scholar 

  9. Beams, J. W., Physics Today, 24, 35 (1971).

    Article  Google Scholar 

  10. Morgan, T. A., and Peres, A., Phys. Rev. Lett., 9, 79 (1962).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics and Astronomy*, Louisiana State University, Baton Rouge, Louisiana, 70803

    R. F. O'CONNELL

  2. Department of Physics, Montana State University, Bozeman, Montana, 57915

    R. F. O'CONNELL

  3. Department of Physics and Astronomy, Louisiana State University, Baton Rouge, Louisiana, 70803

    S. N. RASBAND

Authors
  1. R. F. O'CONNELL
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  2. S. N. RASBAND
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O'CONNELL, R., RASBAND, S. Lense-Thirring Type Gravitational Forces Between Disks and Cylinders. Nature Physical Science 232, 193–195 (1971). https://doi.org/10.1038/physci232193a0

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