arXiv · hep-th/9409160
Self-Dual Gravity Revisited
Abstract
Reconsidering the harmonic space description of the self-dual Einstein equations, we streamline the proof that all self-dual pure gravitational fields allow a local description in terms of an unconstrained analytic prepotential in harmonic space. Our formulation yields a simple recipe for constructing self-dual metrics starting from any explicit choice of such prepotential; and we illustrate the procedure by producing a metric related to the Taub-NUT solution from the simplest monomial choice of prepotential.
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Ch. Devchand, V. Ogievetsky. 1995-01-16. Self-Dual Gravity Revisited. https://doi.org/10.1088/0264-9381%2F13%2F9%2F016
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