Where do all the supercurvature modes go ?

Abstract

In the hyperbolic slicing of de Sitter space appropriate for open universe models, a curvature scale is present and supercurvature fluctuations are possible. In some cases, the expansion of a scalar field in the Bunch-Davies vacuum includes supercurvature modes, as shown by Sasaki, Tanaka, and Yamamoto. We express the normalizable vacuum supercurvature… (More)

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