Polarization of the cosmic background radiation in magnetic Bianchi type-II cosmologies

Astronomy and Astrophysics – Astrophysics

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Cosmology, Interstellar Magnetic Fields, Polarized Electromagnetic Radiation, Relic Radiation, Faraday Effect, Radiative Transfer, Space-Time Functions, Thomson Scattering

Scientific paper

The anisotropy and polarization properties of the cosmic background radiation in Bianchi type-II cosmologies with a frozen-in magnetic field is studied. After writing the radiation transfer equation for diagonal-metric models and showing some general properties of the solutions, the explicit solution is provided up to the octupole harmonics to the first order in the Thomson-scattering mean free time. The observable properties of the cosmic background are then derived in the case of a strong secondary ionization of the cosmological medium. Faraday-rotation effects, such as the rotation of the linear polarization plane, are found to be independent of spatial curvature. Spatial-curvature effects are found to be of the order of the square root of curvature times the Hubble radius. The latter effects, contrary to previous belief, are not characteristic of a positive curvature or a closed topology.

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