Using wavelets to analyze the topology of the universe

Details Using wavelets to analyze the topology of the universe Using wavelets to analyze the topology of the universe

Feb 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001aipc..555..328c&link_type=abstract

Cosmology and Particle Physics: CAPP 2000. AIP Conference Proceedings, Volume 555, pp. 328-332 (2001).

Physics

Observational Cosmology, Mathematical Procedures And Computer Techniques, Background Radiations

Scientific paper

We use planar Daubechies wavelets [1] to look for signatures left in the cosmic microwave background (CMB) by non-trivial topologies. We use the wavelet coefficients to calculate the skewness, kurtosis and scale-scale correlations present in the simulated maps of a toroidal model and of a standard infinite flat model and show that it is in principle possible to discriminate between non-trivial topologies and trivial (flat and infinite) ones. When the COBE noise is included in the simulations in order to create mock COBE maps the results overlap and it is no longer possible to disentangle between the two cases. With the small noise level of the future PLANCK surveyor it will be possible to limit the possibilities for the global topology of the Universe significantly. .

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