1995/08/31 by Martin White, Douglas Scott · 9 citations
Physics and Astronomy · #Astronomy and Astrophysical Research #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #astro-ph
paper · pdf · doi:10.1086/176904
published as Astrophys.J.459:415,1996 · 24 pages, including 13 figures in a uuencoded self-unpacking shell script. Submitted to ApJ
arxiv created 1995/08/31 · openalex publication_date 1996/03/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We consider structure formation and cosmic microwave background (CM B) anisotropies in a closed universe, both with and without a cosmological constant. The CMB angular power spectrum and the matter transfer function are presented, along with a discussion of their relative normalization. This represents the first full numerical evolution of density perturbations and anisotropies in a spherical geometry. We extend the likelihood function versus from the COBE 2 year data to > 1. For large the presence of a very steep rise in the spectrum toward low t' allows us to put an upper limit of < 1.5 (95% CL) for primordial spectra with n < 1. This compares favorably with existing limits on . We show that there are a range of closed models that are consistent with observational constraints while being even older than the currently popular flat models with a cosmological constant. Future constraints from degree scale CMB data may soon probe this region of parameter space. A derivation of the perturbed Einstein, fluid, and Boltzmann equations for open and closed geometries is presented in an Appendix.