Nil-Killing vector fields and Kundt structures
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Original versionNil-Killing vector fields and Kundt structures by Matthew Terje Aadne. Stavanger : University of Stavanger, 2020 (PhD thesis UiS, no. 529)
This thesis is based on three papers, for which two have been submitted for publication and one is published. A chapter presenting relevant background material is included giving convenient access to preliminary foreknowledge for the papers. The research for which the thesis and papers are based concerns Nil-Killing vector fields, which generalize Killing vector fields in the sense that the Lie derivative of the metric is nilpotent. We study their properties and find that they form infinitesimal automorphisms of certain G-structures. Based on this we are able to express Kundt spacetimes in terms of G-structures, giving new tools for their investigation.
Has partsPaper 1: McNutt, D.D., Aadne, M.T. (2019). I-preserving diffeomorphisms of Lorentzian manifolds. Journal of Mathematical Physics, 60
Paper 2: Aadne, M.T. (2019) Nil-Killing vector fields and type III deformations. Submitted to Journal of Mathematical Physics. Not available in Brage.
Paper 3: Aadne, M.T. (2019) Kundt structures. Submitted to Journal of Mathematical Physics. Not available in Brage.