Ch. Devchand, V. Ogievetsky
Self-dual Gravity Revisited
The paper is published: Classical Quantum Gravity 13, 9 (1996) 2515-2536

MSC:

83C15 Exact solutions

83C60 Spinor and twistor methods

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.

Keywords: self-dual Einstein equations, self-dual metrics, Taub-NUT solution
Notes: second version