On Einstein’s Equations with Two Commuting Killing Vectors

  • B. Gaffet
Conference paper
Part of the Research Reports in Physics book series (RESREPORTS)


The usual treatment of Einstein’s (vacuum) field equations, with two commuting Killing vectors, is based on the restricting assumption of “orthogonal transitivity” (Carter, 1969); this yields the celebrated Ernst’s equations, which are completely integrable.


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Copyright information

© Springer-Verlag Berlin, Heidelberg 1990

Authors and Affiliations

  • B. Gaffet
    • 1
  1. 1.Centre de’Etudes Nucléaires de SaclayService d’AstrophysiqueGif-sur-Yvette CedexFrance

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