Solutions in Self-Dual Gravity Constructed Via Chiral Equations

Details Solutions in Self-Dual Gravity Constructed Via Chiral Equations Solutions in Self-Dual Gravity Constructed Via Chiral Equations

1994-09-22

arxiv.org/abs/hep-th/9409135v2

Phys.Rev. D52 (1995) 4425-4429

Physics

High Energy Physics

High Energy Physics - Theory

Plain Latex, 13 Pages, major revisions of style in the above proof, several Comments added. Version to appear in Physical Revi

Scientific paper

10.1103/PhysRevD.52.4425

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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