Null K\"ahler structures, Symmetries and Integrability
General Relativity and Quantum Cosmology
2007-05-23 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We review the integrable systems which arise as symmetry reductions of Plebanski's heavenly equations, and their generalisations. We also show that all four-dimensional null Kahler-Einstein (or type N hyper-heavenly) metrics with symmetry can be found from solutions to a variable coefficient generalisation of the dispersionless Kadomtsev-Petviashvili equation.
Cite
@article{arxiv.gr-qc/0310005,
title = {Null K\"ahler structures, Symmetries and Integrability},
author = {Maciej Dunajski and Maciej Przanowski},
journal= {arXiv preprint arXiv:gr-qc/0310005},
year = {2007}
}
Comments
Text of a talk given at the conference on "Mathematical Physics, General Relativity and Cosmology", held in honour of Professor Jerzy Plebanski. To appear in the Proceedings