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 ζ and σ functions to three dimensions, conforms to a definition of spacetime foam given by Hawking.

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