Stationary axisymmetric space-times - A new approach

Mathematics

Scientific paper

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Astronomical Models, Space-Time Functions, Vacuum, Einstein Equations, Steady State, Transformations (Mathematics)

Scientific paper

This essay describes a new approach to the problem of understanding stationary axisymmetric solutions of Einstein's vacuum equations, different from the 'Backlund 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.

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