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


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.


Electromagnetic Field Unknown Function Cosmological Constant Differential Geometry Null Surface 
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  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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