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gr-qc2026
Kahler decoupling for Kerr perturbations
Stephen R. Green, Kirill Krasnov, Adam Shaw
The Euclidean Kerr metric is conformal, in two distinct ways, to a Kahler metric, with conformal factors determined by the repeated eigenvalue of the two chiral halves of the Weyl…
gr-qc2026
General Relativity via differential forms -- explorations in Plebanski's Formalism for GR
Adam Shaw
This thesis studies general relativity (GR) using chiral formulations, which take advantage of the decomposition of the four-dimensional Lorentz group into self-dual and anti-self-…
gr-qc2024
Kerr metric from two commuting complex structures
Kirill Krasnov, Adam Shaw
The main aim of this paper is to simplify and popularise the construction from the 2013 paper by Apostolov, Calderbank, and Gauduchon, which (among other things) derives the Pleban…