The cosmological constant Lambda and the fine-scale microwave background anisotropy in a neutrino-dominated universe

Astronomy and Astrophysics – Astronomy

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Background Radiation, Cosmology, Neutrinos, Relic Radiation, Anisotropy, Correlation

Scientific paper

The correlation properties of the small-scale temperature fluctuations of the 3 K background are examined. The present density of matter is assumed to be in the range of 0.01-0.03 of the critical density for a closed universe. The anisotropy may arise from photon scattering by moving electrons and could therefore be integrated along the line of sight. A correlation function is defined for initial adiabatic perturbations in matter density, taking into account the neutrino density contrast at the present day and the anisotropic redshift. The correlation function is then dependent on Einstein's cosmological constant and the present neutrino density. A relationship is found between the age of the universe and the constant. The behavior of the correlation function is examined for several values of the present density contrast of massive neutrinos.

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