Where do all the supercurvature modes go?
General Relativity and Quantum Cosmology
2009-10-31 v2 Astrophysics
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.
Cite
@article{arxiv.gr-qc/9803073,
title = {Where do all the supercurvature modes go?},
author = {J. D. Cohn and D. I. Kaiser},
journal= {arXiv preprint arXiv:gr-qc/9803073},
year = {2009}
}
Comments
23 pages, 3 .eps figures included, uses prd,aps, epsfig style files final version to appear in Phys Rev D, expanded concluding section