Phys. Rev. D 52, 4425–4429 (1995)Solutions in self-dual gravity constructed via chiral equationsReceived 23 September 1994; published in the issue dated 15 October 1995 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 used 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. © 1995 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.52.4425
DOI:
10.1103/PhysRevD.52.4425
PACS:
04.20.Fy, 04.20.Jb, 11.10.Lm
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