A test of the Poincare dodecahedral space topology hypothesis with the WMAP CMB data
arXiv:0801.1358 · doi:10.1051/0004-6361:20078777
Abstract
It has been suggested by Roukema and coworkers (hereafter R04) that the topology of the Universe as probed by the ``matched circles'' method using the first year release of the WMAP CMB data, might be that of the Poincaré dodecahedral space (PDS) model. An excess in the correlation of the ``identified circles'' was reported by R04, for circles of angular radius of ~11 deg for a relative phase twist -36deg, hinting that this could be due to a Clifford translation, if the hypothesized model were true. R04 did not however specify the statistical significance of the correlation signal. We investigate the statistical significance of the signal using Monte Carlo CMB simulations in a simply connected Universe, and present an updated analysis using the three-year WMAP data. We find that our analyses of the first and three year WMAP data provide results that are consistent with the simply connected space at a confidence level as low as 68%.
8 pages, 6 figures, typo corrected/replaced to match version published in A&A
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Cited by in corpus (5)
- The optimal phase of the generalised Poincare dodecahedral space hypothesis implied by the spatial cross-correlation function of the WMAP sky maps
- An improved cosmic crystallography method to detect holonomies in flat spaces
- A spatial correlation analysis for a toroidal universe
- Poincare dodecahedral space parameter estimates
- Orbifold construction of the modes of the Poincare dodecahedral space