RELICT radiation in a homogeneous, anisotropic universe

Mathematics – Logic

Scientific paper

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Anisotropy, Astronomical Models, Background Radiation, Big Bang Cosmology, Universe, Celestial Sphere, Homogeneity, Temperature Gradients, Tensor Analysis

Scientific paper

The present work investigates the problem of large-scale anisotropy of relict radiation (background) in a homogeneous, anisotropic universe. If at the present epoch the density of matter is critical, then the anisotropic character of expansion in the neighborhood of a singularity leads to a quadrupole dependence of the anisotropic background on the angles between the line of sight and the components of the metric tensor chosen. If the density of matter is subcritical, then the anisotropy of the relict radiation will appear like a spot. Formulas are derived for the amplitude of the background anisotropy under the most common assumptions regarding the nature of cosmological expansion. This amplitude is compatible with observations only if the universe has undergone practically isotropic expansion beginning from the Planckian moment 10 to the minus 43rd seconds. The insignificance of the temperature fluctuations of relict radiation is evidence of the high degree of homogeneity of the universe, which is compatible only with a very small initial inhomogeneity.

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