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CMB Anisotropy of the Poincare Dodecahedron

R. Aurich·S. Lustig·F. Steiner
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Abstract

We analyse the anisotropy of the cosmic microwave background (CMB) for the Poincare dodecahedron which is an example for a multi-connected spherical universe. We compare the temperature correlation function and the angular power spectrum for the Poincare dodecahedral universe with the first-year WMAP data and find that this multi-connected universe can explain the surprisingly low CMB anisotropy on large scales found by WMAP provided that the total energy density parameter Omega_tot is in the range 1.016...1.020. The ensemble average over the primordial perturbations is assumed to be the scale-invariant Harrison-Zel'dovich spectrum. The circles-in-the-sky signature is studied and it is found that the signal of the six pairs of matched circles could be missed by current analyses of CMB sky maps.

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R. Aurich, S. Lustig, F. Steiner. 2005-02-25. CMB Anisotropy of the Poincare Dodecahedron. https://doi.org/10.1088/0264-9381%2F22%2F11%2F010

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