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Evolution Equations

  In this section, we derive the complete set of evolution equations for the temperature and polarization distribution in the scalar, vector, tensor decomposition of metric fluctuations. Though the scalar and tensor fluid results can be found elsewhere in the literature in a different form (see e.g. [11,10]), the total angular momentum representation substantially simplifies the form and aids in the interpretation of the results. The vector derivation is new to this work.


Wayne Hu