General Relativity and Gravitation

, Volume 21, Issue 5, pp 509–515 | Cite as

Generalized Darboux maps and massless spin-s fields

  • W. E. Couch
  • R. J. Torrence
Research Articles


We consider conformally invariant massless spin-s field equations on a spherically symmetrical space-time. Precisely when these equations are consistent appropriately defined field components are shown to satisfy wave equations related by a generalization of the classical Darboux map.


Wave Equation Field Equation Differential Geometry Field Component Satisfy Wave Equation 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Penrose, R., and Rindler, W. (1984).Spinors and Space-Time, Vol. 1 (Cambridge University Press, Cambridge).Google Scholar
  2. 2.
    Newman, E. T., and Penrose, R. (1962).J. Math. Phys.,3, 566.Google Scholar
  3. 3.
    Torrence, R. J., and Couch, W. E. (1988).Gen. Rel. Grav.,20, 343.Google Scholar
  4. 4.
    Darboux, G. (1882).C.R. Acad. Sci. Paris,94, 1456.Google Scholar
  5. 5.
    Humi, M. (1985).J. Phys. A Math. Gen.,18, 1085.Google Scholar
  6. 6.
    Levi, D. (1986).Rep. Math. Phys.,23, 41.Google Scholar
  7. 7.
    Crum, M. M. (1955).Q. J. Math.,6, 121.Google Scholar
  8. 8.
    Kundt, W., and Newman, E. T. (1968).J. Math. Phys.,9, 2193.Google Scholar
  9. 9.
    Torrence, R. J. (1987).J. Phys. A Math. Gen.,20, 91.Google Scholar
  10. 10.
    Couch, W. E., and Torrence, R. J. (1986).Gen. Rel. Grav.,18, 767.Google Scholar

Copyright information

© Plenum Publishing Corporation 1989

Authors and Affiliations

  • W. E. Couch
    • 1
  • R. J. Torrence
    • 1
  1. 1.Department of Mathematics and StatisticsUniversity of CalgaryCalgaryCanada

Personalised recommendations