Cosmic microwave background anisotropies: nonlinear dynamics

  title={Cosmic microwave background anisotropies: nonlinear dynamics},
  author={Roy Maartens and Tim Gebbie and George F R Ellis},
  journal={Physical Review D},
We develop a new approach to local nonlinear effects in cosmic microwave background anisotropies, and discuss the qualitative features of these effects. New couplings of the baryonic velocity to radiation multipoles are found, arising from nonlinear Thomson scattering effects. We also find a new nonlinear shear effect on small angular scales. The full set of evolution and constraint equations is derived, including the nonlinear generalizations of the radiation multipole hierarchy, and of the… 

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