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Classical and Quantum Surgery of Geometries in an Open Inflationary Universe

Sang Pyo Kim
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Abstract

We study classically and quantum mechanically the Euclidean geometries compatible with an open inflationary universe of a Lorentzian geometry. The Lorentzian geometry of the open universe with an ordinary matter state matches either an open or a closed Euclidean geometry at the cosmological singularity. With an exotic matter state it matches only the open Euclidean geometry and describes a genuine instanton regular at the boundary of a finite radius. The wave functions are found that describe the quantum creation of the open inflationary universe.

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Sang Pyo Kim. 2000-05-09. Classical and Quantum Surgery of Geometries in an Open Inflationary Universe. https://arxiv.org/abs/gr-qc/0005019

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