Polarization of the microwave background radiation in Bianchi type-I cosmological models with a homogeneous magnetic field

Astronomy and Astrophysics – Astrophysics

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Cosmology, Interstellar Magnetic Fields, Polarization Characteristics, Relic Radiation, Anisotropy, Astronomical Models, Background Radiation, Cosmic Plasma, Faraday Effect, Intergalactic Media, Multipoles, Transfer Functions

Scientific paper

In this paper, the anisotropy and polarization properties of the 3 K cosmic background radiation in homogeneous anisotropic cosmological models filled with a uniform magnetic field is studied. The polarization transfer equation is generalized to magnetic Bianchi models by adding a Faraday rotation term. By means of a multipole expansion, the transfer equation is solved for the quadrupole and octuple terms to the first order in the collision time for Bianchi type-I models. The solution is valid for the cosmological scenario with a secondary ionization of the intergalactic plasma, and also for the time preceding thermal decoupling. The polarization degree is found to decrease for decreasing frequency according to a simple law, and the polarization pattern over the sky is affected by Faraday rotation in a characteristic way, quite different from space curvature effects. The polarization properties of the background radiation could therefore provide a powerful test for the existence of a homogeneous magnetic field, to be added to current astronomical tests.

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