A complete treatment of CMB anisotropies in a FRW universe

We generalize the total angular momentum method for computing cosmic microwave background anisotropies to Friedmann-Robertson-Walker ~FRW! spaces with arbitrary geometries. This unifies the treatment of temperature and polarization anisotropies generated by scalar, vector and tensor perturbations of the fluid, seed, or a scalar field, in a universe with constant comoving curvature. The resulting formalism generalizes and simplifies the calculation of anisotropies and, in its integral form, allows for a fast calculation of model predictions in linear theory for any FRW metric. @S0556-2821~98!05006-1#