Large scale anisotropies and polarization of the microwave background radiation in homogeneous cosmologies

Details Large scale anisotropies and polarization of the microwave background radiation in homogeneous cosmologies Large scale anisotropies and polarization of the microwave background radiation in homogeneous cosmologies

Apr 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984rspsa.392..391t&link_type=abstract

Royal Society (London), Proceedings, Series A - Mathematical and Physical Sciences (ISSN 0080-4630), vol. 392, no. 1803, April 9

Mathematics

Logic

19

Big Bang Cosmology, Microwaves, Polarization Characteristics, Polarized Electromagnetic Radiation, Quadrupoles, Relativity, Relic Radiation, Anisotropy, Radiative Transfer, Red Shift, Space-Time Functions, Thomson Scattering

Scientific paper

A quadrupole anisotropy in the expansion of the universe (shear) is considered in realistic cosmological models, and a calculation is made of the resulting anisotropies and polarization of the radiation. The role of spatial curvature is treated separately; it is found to have two profound effects. The first, in closed models only, is that the direction of polarization of the radiation will appear upon observation to be twisted in relation to the anisotropy; the existence of this twist is seen as implying that the closed universe has a handedness property. The second effect, in open models, is that a quadrupole anisotropy may be distorted by the spatial curvature so that it resembles a dipole; it is noted that in the extreme case all the anisotropy is confined to a region of small angular diameter (a 'spot'). On the basis of the work reported by Dautcourt and Rose (1978), a derivation is provided of a transfer equation for polarized radiation in a general curved space-time. An allowance is made for the effect of Thomson scattering by free electrons, and the equation is separated into those for the multipoles up to quadrupole by expanding in polynomials formed from spring-weighted spherical harmonics.

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