A note on the possible existence of an instanton-like self-dual solution to lattice Euclidean gravity

Abstract

The self-dual solution to lattice Euclidean gravity is constructed. In contrast to the well known Eguchi-Hanson solution to continuous Euclidean Gravity, the lattice solution is asymptotically globally Euclidean, i.e., the boundary of the space as r −→ ∞ is S3 = SU(2).