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Singularities in Weyl gravitational fields

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Abstract

The peculiarities of the scalarS ≡R ijkl R ijkl are exhibited for two axially-symmetric static (Weyl) gravitational fields. By examiningS along curved families of trajectories to the Weyl singularities, examples are found which contradict previous claims by Gautreau and Anderson regarding ‘directional singularities’. Proper circumferences about the Bach and Weyl line-mass singularity are also examined. There is no apparent correlation between the source structure and the behaviour ofS from this analysis.

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References

  • Bach, R. and Weyl, H. (1922).Mathematische Zeitschrift 13, 134.

    Google Scholar 

  • Bonnor, W. B. and Sackfield, A. (1968).Communications in Mathematical Physics 8, 338.

    Google Scholar 

  • Cooperstock, F. I., Junevicus, G. J. and Wilson, A. R. (1972).Physics Letters 42A, 203;General Relativity and Gravitation (to be published).

    Google Scholar 

  • Curzon, H. E. J. (1924).Proceedings of the London Mathematical Society 23, 477.

    Google Scholar 

  • Einstein, A. and Rosen, N. (1936).Physical Review 49, 404.

    Google Scholar 

  • Gautreau, R. and Anderson, J. L. (1967).Physics Letters 25A, 291.

    Google Scholar 

  • Gautreau, R. (1969).Physics Letters 28A, 606. (Gautreau's σ=ψ/2).

    Google Scholar 

  • Gautreau, R. and Hoffman, R. B. (1969).Il Nuovo Cimento 61B, 411.

    Google Scholar 

  • Geroch, R. (1968).Annals of Physics 48, 526.

    Google Scholar 

  • Israel, W. (1970).Differential Forms in General Relativity. Dublin Institute for Advanced Studies, Dublin.

    Google Scholar 

  • Rindler, W. (1969).Essential Relativity, Chapter 8. Van Nostrand Reinhold Co., New York.

    Google Scholar 

  • Robertson, H. P. and Noonan, T. W. (1968).Relativity and Cosmology, Chapter 10. W. B. Saunders Co., Philadelphia.

    Google Scholar 

  • Silberstein, L. (1936).Physical Review 49, 268.

    Google Scholar 

  • Stachel, J. (1968).Physics Letters 27A, 60.

    Google Scholar 

  • Synge, J. L. (1960).Relativity: The General Theory, Chapter VIII. North Holland Publishing Co., Amsterdam.

    Google Scholar 

  • Weyl, H. (1917).Annalen der Physik 54, 117.

    Google Scholar 

  • Weyl, H. (1919).Annalen der Physik 59, 185.

    Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Physics, University of Victoria, Victoria, B.C., Canada

    F. I. Cooperstock & G. J. Junevicus

Authors
  1. F. I. Cooperstock
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  2. G. J. Junevicus
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Additional information

Supported in part by the National Research Council of Canada, Grant No. A5340.

National Research Council of Canada Predoctoral Fellow.

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Cooperstock, F.I., Junevicus, G.J. Singularities in Weyl gravitational fields. Int J Theor Phys 9, 59–68 (1974). https://doi.org/10.1007/BF01807116

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  • DOI: https://doi.org/10.1007/BF01807116

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