Dark Matter-Cosmic microwave background connection

Mathematics – Logic

Scientific paper

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Dark Matter, Background Radiations, Origin And Formation Of The Universe, Radio, Microwave

Scientific paper

A method for inference of the primordial power spectrum from the COBE2 DMR sky maps is discussed. This approach involves a Fourier decomposition of the sky maps in a basis of orthonormal functions on the incompletely sampled sky, a detailed mathematical model of all noise properties, and a likelihood analysis of the data based on an exact probabilistic model of the measurable quantities, valid in the context of Gaussian theories of structure formation. Results form the two year COBE-DMR data analysis and the implications for inflationary (flat geometry) models dominated by either dark matter or a cosmological constant are presented. The cross power spectrum of the 53 and 90 GHz DMR sky maps is also discussed.

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