Where do all the supercurvature modes go?
arXiv:gr-qc/9803073 · doi:10.1103/PhysRevD.58.083515
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 modes for a massless scalar field in terms of the basis modes for the spatially-flat slicing of de Sitter space.
23 pages, 3 .eps figures included, uses prd,aps, epsfig style files final version to appear in Phys Rev D, expanded concluding section