Self-dual gravity and the chiral model

Preprint

9 February 1994

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.gr-qc/9402020

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.

Keywords

EINSTEIN EQUATION
DUAL EINSTEIN
DUAL GRAVITY
CHIRAL MODEL
EQUATION
GRAVITY
SDE

All Related Versions

Version 1, 1994-02-09, ArXiv
Published version: Physical Review Letters, 72 (6), 800.

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