Einstein manifolds in Ashtekar variables: explicit examples

Lay Nam Chang, Chopin Soo

Published 1992-07-16, updated 1992-07-30Version 2

We show that all solutions to the vacuum Einstein field equations may be mapped to instanton configurations of the Ashtekar variables. These solutions are characterized by properties of the moduli space of the instantons. We exhibit explicit forms of these configurations for several well-known solutions, and indicate a systematic way to get new ones. Some interesting examples of these new solutions are described.