Self-Dual Gravity Revisited

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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20 pages, latex, minor corrections

Scientific paper

10.1088/0264-9381/13/9/016

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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