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arXiv · gr-qc/9402020

Self-dual gravity and the chiral model

Viqar Husain
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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.

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Viqar Husain. 1994-02-09. Self-dual gravity and the chiral model. https://doi.org/10.1103/physrevlett.72.800

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