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arXiv · hep-th/9409135

Solutions in Self-Dual Gravity Constructed Via Chiral Equations

H. Garcia-Compean·T. Matos
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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.

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H. Garcia-Compean, T. Matos. 1995-07-18. Solutions in Self-Dual Gravity Constructed Via Chiral Equations. https://doi.org/10.1103/physrevd.52.4425

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