General Relativity and Gravitation

, Volume 18, Issue 5, pp 531–547 | Cite as

Stationary vacuum fields with a conformally flat three-space. III. Complete solution

  • Zoltán Perjés
Research Articles

Abstract

It is shown that stationary vacuum space-times having a conformally flat 3-space are always characterized by a functional relationship between the real and imaginary parts of the Ernst potential. This result is based on a new formulation of Einstein's equation, and it completes the investigation of vacuum space-times with conformally flat spaces.

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References

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Copyright information

© Plenum Publishing Corporation 1986

Authors and Affiliations

  • Zoltán Perjés
    • 1
  1. 1.Institute for Nuclear StudyUniversity of TokyoTokyoJapan
  2. 2.Central Research Institute for PhysicsBudapestHungary

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