Polarization and anisotropy induced in the microwave background by cosmological gravitational waves

Statistics – Computation

Scientific paper

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Anisotropy, Background Radiation, Cosmic Rays, Gravitational Waves, Polarized Electromagnetic Radiation, Approximation, Computational Astrophysics, Cosmology, Microwaves, Propagation Velocity, Radiative Transfer, Recombination Reactions, Transverse Waves, Wave Propagation

Scientific paper

An approximate solution is obtained for the equation of polarized radiation transfer in the field of a weak gravitational wave. The ratio of the degree of polarization to the degree of anisotropy is shown to depend significantly on the wavelength. This ratio can be as large as 10 - 20% for gravitational waves with wavelengths shorter than the non-instantaneous scale of decoupling. If the non-instantaneous character of decoupling is taken into account, some specific properties of gravitational waves manifest themselves, since gravitational waves propagate with the velocity of light and are transverse. The angular scales of random anisotropy and polarization are estimated as a function of the characteristic wavelength of random cosmological gravitational waves.

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