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General Relativity and Gravitation

, Volume 8, Issue 10, pp 841–854 | Cite as

Null strings and complex Einstein-Maxwell fields with cosmological constant

  • Alberto García
  • Jerzy F. Plebañski
  • Ivor Robinson
Research Articles

Abstract

Previous results of two of us (J. P. and I. R.) concerning left-degenerate Einstein-flat complex space-times, and preliminary results concerning the electromagnetic field [1], are here generalized and worked out in some detail for the system of Einstein-Maxwell equations with a cosmological constant. On the assumption that there exists a congruence of totally null surfaces, the system is reduced to a pair of equations for two unknown functions.

Keywords

Electromagnetic Field Unknown Function Cosmological Constant Differential Geometry Null Surface 
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.
    Plebañski, J., and Robinson, I. (1976).Phys. Rev. Lett.,37, 493.Google Scholar
  2. 2.
    Plebañski, J., and Robinson, I. (1977). “The Complex Vacuum Metric with Minimally Degenerated Conformal Curvature” inAsymptotic Structure of Space-Time, ed. Esposito, F. and Witten, L., (Plenum Press, New York); and (1977).“Complex Space-Time with Null Strings” inProceedings of the Cinquieme Colloque International sur les Methodes de la Theorie des Groupes en Physique, Montreal, July 1976 (Academic Press, New York).Google Scholar

Copyright information

© Plenum Publishing Corp. 1977

Authors and Affiliations

  • Alberto García
    • 1
  • Jerzy F. Plebañski
    • 2
  • Ivor Robinson
    • 3
  1. 1.Centro National de Enseñanza Técnica IndustrialMéxico 16, D. F.Mexico
  2. 2.Centro de Investigatión y Estudios Avanzados del I.P.N.México, D. F.México
  3. 3.Institute for Mathematical SciencesThe University of Texas at DallasRichardson

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