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The twistor theory of the Chen-Teo metric

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TWTW01 - Twistors in Geometry & Physics

Following Woodhouse, Mason and Fletcher, I review the twistor construction of stationary, axisymmetric space-times and Ricci-flat 4-metrics with toric symmetry, in terms of holomorphic line-bundles over a reduced twistor space. The construction focusses attention on a patching matrix as the basic datum of a solution, and it is then a question of interest to catalogue these matrices for known solutions, including the Chen-Teo metric of 2015. Based on joint work with Maciej Dunajski.

This talk is part of the Isaac Newton Institute Seminar Series series.

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