From 2D Integrable Systems to Self-Dual Gravity
solv-int
2009-10-31 v1 Exactly Solvable and Integrable Systems
Abstract
We explain how to construct solutions to the self-dual Einstein vacuum equations from solutions of various two-dimensional integrable systems by exploiting the fact that the Lax formulations of both systems can be embedded in that of the self-dual Yang--Mills equations. We illustrate this by constructing explicit self-dual vacuum metrics on , where is a homogeneous space for a real subgroup of associated with the two-dimensional system.
Cite
@article{arxiv.solv-int/9809006,
title = {From 2D Integrable Systems to Self-Dual Gravity},
author = {M. Dunajski and L. J. Mason and N. M. J. Woodhouse},
journal= {arXiv preprint arXiv:solv-int/9809006},
year = {2009}
}
Comments
9 pages, LaTex, no figures