Solutions in Self-Dual Gravity Constructed Via Chiral Equations
High Energy Physics - Theory
2009-10-28 v2 General Relativity and Quantum Cosmology
Abstract
The chiral model for self-dual gravity given by Husain in the context of the chiral equations approach is discussed. A Lie algebra corresponding to a finite dimensional subgroup of the group of symplectic diffeomorphisms is found, and then use for expanding the Lie algebra valued connections associated with the chiral model. The self-dual metric can be explicitly given in terms of harmonic maps and in terms of a basis of this subalgebra.
Keywords
Cite
@article{arxiv.hep-th/9409135,
title = {Solutions in Self-Dual Gravity Constructed Via Chiral Equations},
author = {H. Garcia-Compean and T. Matos},
journal= {arXiv preprint arXiv:hep-th/9409135},
year = {2009}
}
Comments
Plain Latex, 13 Pages, major revisions of style in the above proof, several Comments added. Version to appear in Physical Review D