Constraining topology with the CMB

1997/05/16 by Angelica de Oliveira-Costa, A. de Oliveira‐Costa, de Oliveira-Costa, Angelica +4
Computer Science · Physics and Astronomy · #Astrophysics (astro-ph) #Distributed and Parallel Computing Systems #FOS: Physical sciences #astro-ph

paper · pdf · doi:10.48550/arxiv.astro-ph/9705125

Proceedings from XXXIst Recontres de Moriond: Future CMB missions. 6 pages, with 3 figures, and cmb.sty included. Color figures and links at http://www.sns.ias.edu/~angelica/topology.html

arxiv created 1997/05/16 · openalex publication_date 1997/05/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a new data analysis method to study rectangular T³ ``small universes" with one or two of its dimensions significantly smaller than the present horizon (which we refer to as T¹- and T²-models, respectively). We find that the 4 year COBE/DMR data set a lower limit on the smallest cell size for T¹- and T²-models of 3000h^-1 Mpc, at 95% confidence, for a scale invariant power spectrum (n=1).

Related

• Probing Cosmic topology using CMB anisotropy
• Predicting the CMB power spectrum for binary polyhedral spaces
• Constraints on the global topology and size of the universe from the cosmic microwave background
• Cosmic Microwave Background in Closed Multiply Connected Universes
• The Status of Cosmic Topology after Planck Data