Cosmic microwave background constraints on multi-connected spherical spaces

Abstract

This article describes the Cosmic Microwave Background anisotropies expected in a closed universe with the topology of a lens space L(p,q) and with density parameter Omega_0 close to 1. It provides the first simulated maps for such spaces along with their corresponding power spectra. In spite of our initial expectations that increasing p (and thus decreasing the size of the fundamental domain) should suppress the quadrupole, we found just the opposite: increasing p elevates the relative power of the low multipoles, for reasons that have since become clear. For Omega_0 = 1.02, an informal ``by eye'' examination of the simulated power spectra suggests that $p$ must be less than 15 for consistency with WMAP's data, while geometric considerations imply that matching circles will exist (potentially revealing the multi-connected topology) only if p > 7. These bounds become less stringent for values of Omega_0 closer to 1.

4 pages, 9 figures, to appear in PRD

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• Cosmic microwave background anisotropies in multi-connected flat spaces
• CMB Anisotropy of the Poincare Dodecahedron
• Reconstructing the Primordial Spectrum from WMAP Data by the Cosmic Inversion Method
• CMB Anisotropy of Spherical Spaces
• Simulating Cosmic Microwave Background maps in multi-connected spaces
• Well-proportioned universes suppress CMB quadrupole
• De Sitter and Schwarzschild-De Sitter According to Schwarzschild and De Sitter
• A two-mass expanding exact space-time solution
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• An improved cosmic crystallography method to detect holonomies in flat spaces
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• Non-Random Phases in Non-Trivial Topologies
• Emergent universe scenario and the low CMB multipoles
• Revisiting a pre-inflationary radiation era and its effect on the CMB power spectrum
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• The spectral action and cosmic topology
• Topology beyond the horizon: how far can it be probed?
• Topological signatures in CMB temperature anisotropy maps
• APS Instability and the Topology of the Brane-World
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• Cosmic topology. Part Ic. Limits on lens spaces from circle searches
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