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General Relativity and Gravitation

, Volume 13, Issue 12, pp 1157–1160 | Cite as

On the transition from Weyl to Ricci focusing

  • C. C. Dyer
  • R. C. Roeder
Research Articles

Abstract

Using the weak-field approximation, we show that the Weyl focusing of rays in a beam of light which passes around a number of spherical deflectors may be approximated by the Ricci focusing of the beam due to the enclosed mass.

Keywords

Differential Geometry Spherical Deflector Enclose Mass 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Penrose, R. (1966). InPerspectives in Geometry and Relativity, ed. Hoffmann, B. H., Indiana University Press, Bloomington, Indiana, p. 259.Google Scholar
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    Liebes, S. J. (1964).Phys. Rev.,133, B835.Google Scholar
  3. 3.
    Dyer, C. C., and Roeder, R. C. (1980).Astrophys. J.,238, L67.Google Scholar
  4. 4.
    Dyer, C. C. (1977).Mon. Not. R. Astron. Soc.,180, 231.Google Scholar
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    Pineault, S., and Roeder, R. C. (1977).Astrophys. J.,212, 541.Google Scholar

Copyright information

© Plenum Publishing Corporation 1981

Authors and Affiliations

  • C. C. Dyer
    • 1
  • R. C. Roeder
    • 1
  1. 1.Scarborough College and David Dunlap ObservatoryUniversity of TorontoTorontoCanada

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