General Relativity and Gravitation

, Volume 15, Issue 2, pp 105–109 | Cite as

Stationary axisymmetric space-times: A new approach

  • R. S. Ward
Research Articles

Abstract

This essay describes a new approach to the problem of understanding stationary axisymmetric solutions of Einstein's vacuum equations, different from the “Bäcklund transformation” approach which has recently been extensively developed. It translates the problem into one of complex geometry, using the machinery of twistor theory. This, in turn, leads to a procedure which, in principle, generates all solutions. Some explicit examples are presented.

Keywords

Differential Geometry Complex Geometry Twistor Theory Vacuum Equation Axisymmetric Solution 

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Copyright information

© Plenum Publishing Corporation 1983

Authors and Affiliations

  • R. S. Ward
    • 1
  1. 1.Institute for Theoretical PhysicsState University of New York at Stony BrookStony Brook

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