Stationary axisymmetric space-times: A new approach
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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.
KeywordsDifferential Geometry Complex Geometry Twistor Theory Vacuum Equation Axisymmetric Solution
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