2002/05/31 by Kaiki Taro Inoue, Naoshi Sugiyama · 16 citations
Mathematics · Physics and Astronomy · #Anisotropy #Astrophysics #Black Holes and Theoretical Physics #COSMIC cancer database #Cold dark matter #Cosmic background radiation #Cosmic microwave background #Cosmology #Cosmology and Gravitation Theories #Covariance #Dark energy #Dark matter #Galaxies: Formation, Evolution, Phenomena #Mathematics #Normalization (sociology) #Physics #Quantum mechanics #Statistical physics #Statistics #Theoretical physics #Toroid #Universe #astro-ph
paper · pdf · doi:10.1103/physrevd.67.043003
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 67(4) (American Physical Society) · 19 pages, 9 figures, version accepted for PRD. More elaborate discussion on the best-fit orientation has been added
openalex publication_date 2003/02/27 · arxiv created 2003/03/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We reexamine constraints on the spatial size of closed toroidal models with cold dark matter and the cosmological constant from a cosmic microwave background. We carry out Bayesian analyses using the Cosmic Background Explorer (COBE) data properly taking into account the statistically anisotropic correlation, i.e., off-diagonal elements in the covariance. We find that the COBE constraint becomes more stringent in comparison with that using only the angular power spectrum, if the likelihood is marginalized over the orientation of the observer. For some limited choices of orientations, the fit to the COBE data is considerably better than that of the infinite counterpart. The best-fit matter normalization is increased because of large-angle suppression in the power and the global anisotropy of the temperature fluctuations. We also study several deformed closed toroidal models in which the fundamental cell is described by a rectangular box. In contrast with the cubic models, the large-angle power can be enhanced in comparison with the infinite counterparts if the cell is sufficiently squashed in a certain direction. It turns out that constraints on some slightly deformed models are less stringent. We comment on how these results affect our understanding of the global topology of our Universe.