Evidence for Sakharov oscillations of initial perturbations in the anisotropy of the cosmic microwave background

Astronomy and Astrophysics – Astrophysics

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Angular Correlation, Anisotropy, Background Radiation, Baryon Resonance, Baryon Resonance, Cosmic Rays, Dark Matter, Microwaves, Oscillations, Perturbation, Universe, Baryons, Mathematical Models

Scientific paper

In the framework of the Cold Dark Matter cosmological model we obtain the explicit analytical expressions for the spectral representation of the anisotropy of the cosmic microwave background and the corresponding analytical expressions for the angular correlation function taking into account the width of antenna. We discuss the peculiar periodic dependence of the initial spectrum of the baryonic matter distribution on wavelength (Sakharov oscillations). This effect is specific for accoustic modes or perturbations in cosmic plasma in any cosmological model as a result of the recombination. Sakharov oscillations should manifest themselves by the specific anomalies in the angular correlation function of the microwave background anisotropy on scales 10 min - 2 deg, practically in any cosmological model. We discuss special methods for filtering of this effect in the observational data.

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