dc.creator | Dunajski, Maciej Lukasz | |
dc.creator | Gundry, James | |
dc.date.accessioned | 2018-11-24T23:18:19Z | |
dc.date.available | 2015-08-18T14:22:24Z | |
dc.date.available | 2018-11-24T23:18:19Z | |
dc.date.issued | 2016-01-14 | |
dc.identifier | https://www.repository.cam.ac.uk/handle/1810/250303 | |
dc.identifier.uri | http://repository.aust.edu.ng/xmlui/handle/123456789/3253 | |
dc.description.abstract | We develop a non-relativistic twistor theory, in which Newton-Cartan structures of Newtonian gravity correspond to complex three-manifolds with a four-parameter family of rational curves with normal bundle O ⊕ O(2). We show that the Newton-Cartan space-times are unstable under the general Kodaira deformation of the twistor complex structure. The Newton-Cartan connections can nevertheless be reconstructed from Merkulov's generalisation of the Kodaira map augmented by a choice of a holomorphic line bundle over the twistor space trivial on twistor lines. The Coriolis force may be incorporated by holomorphic vector bundles, which in general are non-trivial on twistor lines. The resulting geometries agree with non-relativistic limits of anti-self-dual gravitational instantons. | |
dc.language | en | |
dc.publisher | Springer | |
dc.publisher | Communications in Mathematical Physics | |
dc.rights | http://creativecommons.org/licenses/by/2.0/uk/ | |
dc.rights | Attribution 2.0 UK: England & Wales | |
dc.title | Non-relativistic twistor theory and Newton-Cartan geometry | |
dc.type | Article | |