A Quasiperiodic Gibbons--Hawking Metric and Spacetime Foam

Abstract

We present a quasiperiodic self-dual metric of the Gibbons--Hawking type with one gravitational instanton per spacetime cell. The solution, based on an adaptation of Weierstrassian $\zeta$ and $\sigma$ functions to three dimensions, conforms to a definition of spacetime foam given by Hawking.

14 pages, Latex

References in corpus (5)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Self-dual gravity and the chiral model
• On Self-Dual Gravity I
• The symmetry structure of the anti-self-dual Einstein hierarchy
• Does the Gursey-Tze Solution Represent a Monopole Condensate?

Cited by in corpus (5)

• Spacetime foam: a review
• Orientifolds and Slumps in G_2 and Spin(7) Metrics
• Instantons on multi-Taub-NUT Spaces I: Asymptotic Form and Index Theorem
• New G_2 metric, D6-branes and Lattice Universe
• Generalization of Weierstrassian Elliptic Functions to ${\mathbf{R}}^n$