1997/08/31 by Neil J. Cornish, Neil Cornish, David N. Spergel +3 · 7 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum chaos and dynamical systems #astro-ph #gr-qc
paper · pdf · doi:10.1103/physrevd.57.5982
published as Phys.Rev.D57:5982-5996,1998 · 16 Pages, 5 Figures. Version published in Phys. Rev. D
arxiv created 1998/04/07 · openalex publication_date 1998/05/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In recent years, the large angle COBE-DMR data have been used to place constraints on the size and shape of certain topologically compact models of the universe. Here we show that this approach does not work for generic compact models. In particular, we show that compact hyperbolic models do not suffer the same loss of large angle power seen in flat or spherical models. This follows from applying a topological theorem to show that generic hyperbolic three manifolds support long wavelength fluctuations, and by taking into account the dominant role played by the integrated Sachs-Wolfe effect in a hyperbolic universe.