Self-dual gravity and the chiral model
General Relativity and Quantum Cosmology
2009-10-22 v1 High Energy Physics - Theory
Abstract
The self-dual Einstein equation (SDE) is shown to be equivalent to the two dimensional chiral model, with gauge group chosen as the group of area preserving diffeomorphisms of a two dimensional surface. The approach given here leads to an analog of the Plebanski equations for general self-dual metrics, and to a natural Hamiltonian formulation of the SDE, namely that of the chiral model.
Cite
@article{arxiv.gr-qc/9402020,
title = {Self-dual gravity and the chiral model},
author = {Viqar Husain},
journal= {arXiv preprint arXiv:gr-qc/9402020},
year = {2009}
}
Comments
11 pages (LateX) (to appear in Phys. Rev. Lett.), Alberta-Thy-48-93