Non-relativistic twistor theory and Newton--Cartan geometry
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I shall describe a non-relativistic limit of twistor theory, in which Newton—Cartan structures of Newtonian gravity correspond to complex three-manifolds with a four-parameter family of rational curves.
The resulting Newton—Cartan space-times are unstable under the general Kodaira deformation of the twistor complex structure, and agree with non-relativistic limits of self-dual gravitational instantons.
This talk is part of the DAMTP Friday GR Seminar series.
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