Angular fluctuations in the cosmic microwave background owing to initial perturbations in the radiation temperature |
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| Authors: | S I Grachev |
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| Institution: | (1) V. V. Sobolev Astronomical Institute, St. Petersburg State University, Russia |
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| Abstract: | A new method is proposed to account for multiple scattering by electrons in calculations of the correlation functions describing
the angular fluctuations in the cosmic microwave background radiation (CMBR). The apparatus of the theory of radiative transport
with Rayleigh scattering is used. The problem is reduced to solving an integral equation for the vector source function (dependent
only on time), along with differential equations for the other quantities (scalar potentials, baryon velocities, etc.) which
show up in the problem. The quantities which describe the angular fluctuations in the CMBR (in the temperature and in the
polarization) are then calculated by integrating the vector source function along the line of sight. As an illustration, the
correlation functions and power spectra are calculated for the case where the fluctuations are produced by some initial gaussian
perturbations of the CMBR.
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Translated from Astrofizika, Vol. 50, No. 4, pp. 621–631 (November 2007). |
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| Keywords: | cosmology early universe cosmic microwave background radiation |
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